Extremum seeking from 1922 to 20101

Proceedings of the 29th Chinese Control Conference, CCC'10

Volumn , Issue , 2010, Pages 14-26

  Tan, Y ^a   Moase, W H ^a   Manzie, C ^a   Nesic D ^a   Mareels, I M Y ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Adaptive control; Averaging analysis; Extremum seeking; Time scale separation

Indexed keywords

ADAPTIVE CONTROL; APPLICATION DOMAINS; APPROXIMATE GRADIENT; AVERAGING ANALYSIS; BEHAVIORAL CHARACTERISTICS; EXPLICIT KNOWLEDGE; EXTREMUM SEEKING; EXTREMUM SEEKING ALGORITHM; GRADIENT-BASED OPTIMIZATION; INPUT-OUTPUT CHARACTERISTICS; MODEL FREE; TIME SCALE SEPARATION;

ADAPTIVE CONTROL SYSTEMS; OPTIMIZATION;

CONTROL THEORY;

EID: 78650234685     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (187)

1. V. Adetola, D. Dehann, M. Guay, "Adaptive extremum-seeking receding horizon control of nonlinear systems", Proceedings of the 2004 American Control Conference, pp. 2937-2942, 2004.
2. V. Adetola and M. Guay, "Adaptive output feedback extremum seeking receding horizon control of linear systems", Journal of Process Control, vol. 16, pp. 521-533, 2006.
3. V. Adetola and M. Guay, "Parameter convergence in adaptive extremum-seeking control", Automatica, vol. 43, pp. 105-110, 2007.
4. Brian D. O. Anderson, Robert R. Bitmead, C. Richard Johnson, Jr., Petar V. Kokotovic, Robert L. Kosut, Iven M.Y. Mareels, Laurent Praly, Bradley D. Riedle, Stability of adaptive systems: passivity and averaging analysis, MIT Press, 1986
5. R. Antonello, R. Oboe, "Mode-matching in vibrating microgyros using extremum seeking control", the IEEE 33rd Annual Conference of Industrial Electronics Society, pp. 2301-2306, 2007.
6. R. Antonello and R. Oboe, "Mode-matching in vibrating microgyros using an extremum seeking controller with switching logic" 34th Annual Conference of IEEE on Industrial Electronics, pp. 3425-3430, 2008.
7. R. Antonello, R. Oboe, L. Prandi and F. Biganzoli, "Automatic mode matching in MEMS vibrating gyroscopes using extremum-seeking control", IEEE Transactions on Industrial Electronics, vol.56, No. 10, pp. 3880-3891, 2009.
8. N. Araki, T. Sato, Y. Kumamoto, Y. Iwai, Y Konishi, "Design of weigh feeder control system using extremum-seeking method" Proceedings of 2009 Asian Control Conference pp. 250-255, 2009.
9. K. J. Aström, Adaptive Control Around 1960, Proceedings of the 34th IEEE CDC, New Orleans, Dec 1995.
10. Also in IEEE Control Systems, June 1996, pp 44-49.
11. K. J. Aström and B. Wittenmark, Adaptive control (2nd ed.) Reading, MA: Addison-Wesley, 1995.
12. K. B. Ariyur and M. Krstić, "Slope seeking and application to compressor instability control", Proceedings of the 41st IEEE Conference on Decision and Control, pp. 3690-3697, 2002.
13. K. B. Ariyur and M. Krstić, "Analysis and design of multivariable extremum seeking", Proceedings of the 2002 American Control Conference, Anchorage, AK May 8-1, pp. 2903-2908, 2002.
14. K. B. Ariyur and M. Krstić, Real-Time Optimization by Extremum - Seeking Control. Hoboken, NJ: Wiley-Interscience, 2003.
15. W. Bamberger and R. Isermann, "Adaptive on-line steadystate optimization of slow dynamic processes", Automatica, vol. 14, pp. 223-232, 1978.
16. A. Banaszuk, Y. Zhang, C. A. Jacobson, "Adaptive control of combustion instability using extremum-seeking", Proceedings of the 2000 American Control Conference, pp. 416-422, 2000.
17. A. Banaszuk, K. B. Ariyur, M. Krstić and C. A. Jacobson, "An adaptive algorithm for control of combustion instability and application to compressor instability control", Automatica, vol. 40, No. 11, pp. 1965-1972, 2003.
18. R. N. Banavar, D. F. Chichka, J. L. Speyer, "Functional feedback in an extremum seeking loop", Proceedings of the 40th IEEE Conference on Decision and Control, pp. 1316-1321, 2001.
19. R. N. Banavar, "Extremum seeking loops with assumed functions: estimation and control", Proceedings of the American Control Conference, Anchorage, AK May 8-10, pp. 3159-3164, 2002.
20. R. N. Banavar, "Extremum seeking loops with quadratic functions: estimation and control", International Journal of Control, vol. 76, No. 14, pp. 1475-1482, 2009.
21. G. Bastin, D. Nešić, Y. Tan and I. Mareels, "On extremum seeking in bioprocesses with multi-valued cost functions", Biotechnology Progress, May/June, Vol. 25, No 3, pp.683-690, 2009.
22. R. Becker, R. King, R. Petz, and W. Nitsche, "Adaptive closed-loop separation control on a high-lift configuration using extremum seeking", AIAA J., vol. 45, No. 6, pp. 1382-1392, 2007.
23. J. F. Beaudoin, O. Cadot, J. L. Aider, J. E. Wesfreid, "Bluff-body drag reduction by extremum-seeking control", Journal of Fluids and Structures, vol. 22, pp. 973-978, 2006. (Pubitemid 44283916)
24. P. Binetti, K. B. Ariyur, M. Krstić and F. Bernelli, "Control of formation flight via extremum seeking", Proceedings of the 2002 American Control Conference Anchorage, AK May 8-1 pp. 2848-2853, 2002.
25. th IEEE Conf. Decis. Contr., New Orleans, USA, 2007.
26. P. F. Blackman, "Extremum-seeking regulators", In J. H. Westcott, An exposition of adaptive control New York: The Macmillan Company, 1962.
27. A. I. Bratcu, I. Munteanu, E. Ceanga, S. Epure "Energetic optimization of variable speed wind energy conversion systems by extremum seeking control" Proceedings of EUROCON, 2007, The International Conference on "Computer as a Tool", pp. 2536-2541, 2007.
28. J. Bredenbeck, "Statistical design of experiments for on-line optimization of internal-combustion engines", (in German), MTZ Motortech. Z., vol. 60, No. 11, pp. 740-744, 1999.
29. S. L. Brunton, C. W. Rowley, S. R. Kulkarni, C. Clarkson, "Maximum power point tracking for photovoltaic optimization using extremum seeking", 2009 34th IEEE Conferene on Photovoltaic Specialists Conference (PVSC), pp. 000013-000016, 2009.
30. D. Carnevale, A. Astolfi, C. Centioli, S. Podda, V. Vitale, L. Zaccarian, "A new extremum seeking technique and its application to maximize RF heating on FTU", Fusion Engineering and Design, vol. 84, Jpp. 554-558, 2009.
31. Y. Y. Chang and S. J. Moura, "Air flow control in fuel cell systems: an extremum seeking approach", Proceedings of 2009 American Control Conference, Hyatt Regency Riverfront, St. Louis, MO, USA June 10-12, pp. 1052-1059, 2009.
32. C. Centioli, F. Iannone, G. Mazza, M. Panella, L. Pangione, S. Podda, A. Tuccillo, V. Vitale, and L. Zaccarian, "Extremum seeking applied to the plasma control system of the Frascati Tokamak Upgrade", Proc. 44th IEEE Conf. Decision Control Eur. Control Conf., Dec. pp. 8327-8232, 2005.
33. J. Y. Choi; M. Krstić, K. B. Ariyur and J. S. Lee, "Extremum seeking control for discrete-time systems", IEEE Transactions on Automatic Control, vol. 47, No. 2, pp. 318-323, 2002.
34. D. F. Chichka, J. L. Speyer, and C. G. Park, "Peak-seeking control with application to formation flight", Proceedings of the 38th IEEE conference on decision and control, December, 1999.
35. M. R. Cistelecan, "Power control in mobile wireless networks using sliding mode extremum seeking control implementing bifurcations", IEEE International Conference on Control Applications 2008, pp. 67-72, 2008.
36. J. Cochran and M. Krstić, "Nonholonomic source seeking with tuning of angular velocity", IEEE Transactions on Automatic Control, vol. 54, No. 4, pp. 717-731, 2009.
37. C. Danielson, S. Lacy, B. Hindman, P. Collier, J. Hunt, R. Moser, "Extremum seeking control for simultaneous beam steering and wavefront correction", Proceedings of 2006 American Control Conference, 2006.
38. D. DeHaan and M. Guay, "Extremum seeking control of nonlinear systems with parametric uncertainties and state constraints", Proceedings of the 2004 American Control Conference, pp. 596-601, 2004.
39. C. Dixon and E. W. Frew, "Controlling the mobility of network nodes using decentralized extremum seeking" Proceedings of the 45th IEEE Conference on Decision & Control, Manchester Grand Hyatt Hotel San Diego, CA, USA, December 13-15, pp. 1291-1296, 2006.
40. P. M. Dower, P. Farrell and D. Nešić, "Extremum seeking control of cascaded Raman optical amplifiers", IEEE Transactions on Control Systems Technology, 2007.
41. S. Drakunov, U. Özgüner, P. Dix and B. Ashra, "ABS control using optimum search via sliding modes", IEEE Transactions on Control Systems Technology, vol. 3 pp. 79-85, 1995.
42. C. S. Draper and Y. T. Li, "Principles of Optimalizing Control Systems and an Application to the Internal Combustion Engine", In R. Oldenburger, Ed., Optimal and selfoptimizing control. Boston, MA: The M.I.T. Press, 1951.
43. E. Elong, M. Krstić and K. B. Ariyur, "A case study of performance improvement in extremum seeking control", Proceedings of the American Control Conference, Chicago, Illinois June, pp. 428-432, 2000
44. F. Esmaeilzadeh Azar, M. Perrier, B. Srinivasan, "A global optimization method based on multi-unit extremum-seeking for scalar nonlinear systems", Computers & Chemical Engineering, In Press, Corrected Proof, Available online 10 April 2010.
45. P. Eykhoff, Adaptive and Optimilazing Systems, IRE Transactions on Automatic Control, June 1960, pp148-151
46. A. Favache, D. Dochain, M. Perrier and M. Guay, "Extremum-seeking control of retention for a microparticulate system", The Candian Jounal of Chemical Engineering, vol. 86, pp. 815-827, 2008.
47. J. J. Floretin "An approximately optimal extremal regulator", J. Electron. and Control, vol 17, No. 2, pp. 211-310, 1964.
48. J. S. Frait and P. Eckman, "Optimizing control of single input extremum systems", J. Basic Engrg., vol. 84, pp. 85-90, 1962.
49. A. L. Frey, W. B. Deem and R. J. Altpeter, "Stability and optimal gain in extremum-seeking adaptive control of a gas furnace". Proceedings of the Third IFAC World Congress, London, (p. 48A), 1966.
50. L. Fu and U. Ozguner, "Variable structure extremum seeking control based on sliding mode gradient estimation for a class of nonlinear systems" Proceedings of 2009 American Control Conference, pp. 8-13, 2009.
51. S. Fujii and N. Kanda, "An optinmalizing control of boiler pebble mills", Proc. 2nd. IFAC Conf., Butterworth, London, 1963.
52. N. Ghods and M. Krstić, "Extremum seeking with very slow or drifting sensors", 2009 American Control Conference, Hyatt Regency Riverfront, St. Louis, MO, USA June 10-12, pp. 1946-1951, 2009.
53. M. Guay, D. Dochain and M. Perrier, "Adaptive extremum seeking control of continuous stirred tank bioreactors with unknown growth kinetics", Automatica, vol. 40, 881-888, 2004.
54. M. Guay, D. Dochain and M. Perrier., "Adaptive extremum seeking control of nonisothermal continuous stirred tank reactors", Chemical Engineering Science, vol. 60, No. 13, pp. 3671-3680, 2005.
55. M. Guay and T. Zhang, "Adaptive extremum seeking control of nonlinear dynamic systems with parametric uncertainties", Automatica, vol. 39, 1283-1293, 2003.
56. M. Guay, D. Dochain, M. Perrier, and N. Hudon, "Flatness-based extremum-seeking control over periodic orbits", IEEE Transactions on Automatic Control, vol. 52, No. 10, pp. 2005-2012, 2007.
57. L. Gurvich, "Fuzzy logic base extremum seeking control system", Proceedings of 2004 23rd IEEE Convention of Electrical and Electronics Engineers, pp. 18-21, 2004.
58. L. Gurvich, I. Gurvich, "Analysis and methods for control of objects with quasi-static time-dependent characteristic -objects with elastic and plastic static characteristic", Proceedings of IEEE 25th Convention of Electrical and Electronics Engineers in Israel, pp. 125-129, 2008.
59. M. Hamza, "Extremum control of continuous systems", IEEE Transactions on Automatic Control, vol. 11, No. 2, pp. 182-189, 1966.
60. M. H. Hamza, Synthesis of extremum-seeking regulators, in Azdotnalion and Remote Control, vol. XXI., pt. 8 (in Russian). USSR: The Academy of Sciences, 1964.
61. I. Haskara, G. G. Zhu and J. Winkelman, "Multivariable EGR/spark timing control for IC engines via extremum seeking", Proceedings of 2006 American Control Conference, 2006.
62. L. Henning, R. Becker, G. Feuerbach, R. Muminovic, R. King, A. Brunn and W. Nitsche, "Extensions of adaptive slope-seeking for active flow control", Proc. IMechE Part I: J. Systems and Control Engineering, vol. 22, pp. 309-922, 2008.
63. Y. A. Hu and B. Zuo, "An annealing recurrent neural network for extremum seeking control", International Journal of Information Technology, vol. 11, No. 6, pp. 45-52, 2005.
64. Y. A. Hu, B. Zuo and X. D. Li, "The application of an annealing recurrent neural network for extremum seeking algorithm to optimize UAV tight formation flight", IMACS Multiconference on Computational Engineering in Systems Applications, pp. 613-620, 2006.
65. N. Hudon, M. Guay, M. Perrier and D. Dochain, "Adaptive extremum seeking control of a tubular reactor with limited actuation", Proceedings of the 2005 American Control Conference, pp. 4563-4568, 2005. (Pubitemid 41188723)
66. O. L. R. Jacobs and G. C. Shering, "Design of a single-input sinusoidal-perturbation extremum-control system". Proceedings IEE, vol. 115, pp. 212-217, 1968.
67. O.L.R. Jacobs, S.M. Langdon, "An optimal extremal control system", Automatica, vol. 6, No. 2, pp. 297-301, 1970.
68. Y. Iwai, Y. Konishi, N. Araki, H. Ishigaki, "Optimum integrated design of mechanical structure/controller using bargaining game theory", Proceedings of International Conference on Control, Automation and Systems, pp. 1-6, 2008.
69. V.V. Kazakevich, "Technique of automatic control of different processes to maximum or to minimum", Avtorskoe svidetelstvo, (USSR Patent), No 66335, 25 Nov 1943.
70. V.V. Kazakevich, On extremum seeking, PhD Thesis, Moscow High Technical University, 1944.
71. V.V. Kazakevich, "Extremum control of objects with inertia and of unstable objects", Soviet Physics, vol. 1, No. 5, pp. 658-661, 1960.
72. V.V. Kazakevich and I.A. Mochalov, "Statistical study of some algorithms for the control of inertial objects of optimization in the presence of drift", Automat. Remote Contr., No. 11, pp. 49-56, 1974.
73. V. V. Kazakevich, "Joint identification and accelerated optimization of plants with lag", Automat. Remote Contr., No.9, pp. 62-73, 1984.
74. V.V. Kazakevich and Y.V. Shcherbina, "Design of continuous-discrete extremal control systems that are stable under low-frequency disturbances", Automat. Remote Contr., No. 2, pp. 59-64, 1979.
75. N.J. Killingsworth and M. Krstić, "PID tuning using extremum seeking: online, model-free performance optimization", IEEE Transactions on Control Systems Magazine, vol. 26, No. 1, pp. 70-79, 2006.
76. N. J. Killingsworth, S. M. Aceves, D. L. Flowers, F. Espinosa-Loza, and M. Krstić, "HCCI engine combustion-timing control: optimizing gains and fuel consumption via extremum seeking", IEEE Transactions on Control Systems Technology, vol. 17, No. 6, pp. 1350-1361, 2009.
77. K. Kim, C. Kasnakoglu, A. Serrani and M. Samimy, "Extremum-seeking control of subsonic cavity flow", Proceedings of the 46th AIAA aerospace sciences meeting and exhibit, 2008.
78. R. King, R. Becker, G. Feuerbach, L. Henning, R. Petz, W. Nitsche, O. Lemke, W. Neise, "Adaptive flow control using slope seeking", Proceedings of 14th Mediterranean Conference on Control and Automation, pp. 1-6, 2006.
79. S.K. Korovin and V.I. Utkin, "The use of the slip mode in problems of static optimization", Automatic and Remote Control, pp. 50-60, 1972.
80. S.K. Korovin and V.I. Utkin, "Using sliding modes in static optimization and nonlinear programming", Automatica, vol. 10, pp. 525-532, 1974.
81. H.K. Khalil, Nonlinear Systems, Third edition Prentice Hall, Upper Saddle River, New Jersey, 2002.
82. A.A. Krasovsky, "Problems in the theory of continuous systems of extremum process control", Proc. Internatl Federation of Automatic Control Congress, Basle, Switzerland, 1963.
83. M. Krstić, "Towards faster adaptation in extremum seeking control", Proceedings of the 38th IEEE Conference on Decision & Control Phoenix, Arizona USA December, pp. 4766-4771, 1999.
84. M. Krstić, "Performance improvement and limitations in extremum seeking control", Systems and Control Letters, vol. 39, 313-326, 2000.
85. M. Krstić and A. Banaszuk, "Multivariable adaptive control of instabilities arising in jet engines", Control Engineering Practice, vol. 14, pp. 833-842, 2006.
86. M. Krstić, and J. Cochran, "Extremum seeking for motion optimization: From bacteria to nonholonomic vehicles", Chinese Control and Decision Conference, pp. 18-27, 2008.
87. M. Krstić and H.-H. Wang, "Stability of extremum seeking feedback for general nonlinear dynamic systems", Automatica, vol. 36, 595-601, 2000.
88. E. Lavretsky, E. Hovakimyan, A. Calise, "Adaptive extremum seeking control design", Proceedings of 2003 American Control Conference, pp. 567-572, 2003.
89. M. Leblanc, Sur l'electrication des chemins de fer au moyen de courants alternatifs de frequence elevee", Revue Generale de l'Electricite, 1922.
90. R. Leyva, C. Alonso, I. Queinnec, A. Cid-Pastor, D. Lagrange, L. Martinez-Salamero, "MPPT of photovoltaic systems using extremum seeking control", IEEE Transations on Aerospace and Electronic Systems, vol. 42, No. 1, pp. 249-258, 2006.
91. P. F. Li, Y. Y. Lu and J. E. Seem, "Extremum seeking control for efficient and reliable operation of air-side economizers", Proceedings of 2009 American Control Conference, pp. 20-25, 2009.
92. Y.Y. Li, M. A. Rotea, G.T. C. Chiu, l. G. Mongeau and I.S. Paek, "Extremum seeking control of tunable thermoacoustic cooler", IEEE Transactions on Control System Technology vol. 13, No. 4, pp. 527-536, 2005.
93. S. J. Liu and M. Krstić, "Stochastic averaging in continuous time and its applications to extremum seeking", IEEE Transactions on Automatic Control, to appear, 2010.
94. L.X. Luo ad E. Schuster, "Mixing enhancement in 2D magnetohydrodynamic channel flow by extremum seeking boundary control" Proceedings of 2009 American Control Conference, Hyatt Regency Riverfront, St. Louis, MO, USA June 10-12, pp. 1530-1535, 2009.
95. L. X. Luo and E. Schuster, "Boundary feedback control for heat exchange enhancement in 2D magnetohydrodynamic channel flow by extremum seeking", Proceedings of the 48th IEEE Conference on Decision and Control, jointly with the 2009 28th Chinese Control Conference, pp. 8272-8277, 2009.
96. J. Luxat, L. Lees, "Stability of peak-holding control systems", IEEE Transactions on Industrial Electronics and Control Instrumentation, pp. 11-15, 1971.
97. J. Luxat, "Design and analysis of an electronic peak-holding controller", IEEE Transactions on Industrial Electronics and Control Instrumentation, pp. 173-179, 1974.
98. C. Manzie and M. Krstić, "Extremum seeking with stochastic perturbations", IEEE Transactions on Automatic Control, vol. 54, NO. 3, pp. 580-585, 2009.
99. N. Marcos, M. Guay, T. Zhang and D. Dochain, "Adaptive extremum-seekingcontrol of a continuous stirred tank bioreactor with Haldane kinetics", Journal of Process Control, vol. 14, No. 3, pp. 317-328, 2004.
100. C. G. Mayhew, R. G. Sanfelice and A. R. Teel, "Robust source-seeking hybrid controllers for autonomous vehicles", Proceedings of the 2007 American control conference, pp. 1185-1190, 2007.
101. S. M. Meerkov, "Asymptotic methods for investigating a class of forced states in extremal systems", Automation and Remote Control, vol, 12, pp. 1916-1920, 1967.
102. S.M. Meerkov, "Asymptotic methods for investigating quasistationary states in continuous systems of automatic optimization", Automation and Remote Control, vol. 11, pp. 1726-1743, 1967.
103. S.M. Meerkov, "Asymptotic methods for investigating stability of continuous systems of automatic optimization subjected to disturbance action", (in Russian), Avtomatika i Telemekhanika, vol. 12, pp. 14-24, 1968.
104. W.H. Moase, C. Manzie and M.J. Brear, "Newton Like extremum-seeking for the control of thermoa-coustic instability", IEEE Transactions on Automatic Control, vol. 55, 2010, Digital Object Identifier: 10.1109/TAC.2010.2042981, 2010.
105. J.P. Moeck, M.R. Bothien, C.O. Paschereit, G. Gelbert and R. King, "Two-parameter extremum seeking for control of thermoacoustic instabilities and characterization of linear growth", AIAA paper pp. 1416, 2007.
106. I.S. Morosanov, "Method of extremum control", Automatic and Remote Control, vol. 18, pp. 1077-1092, 1957.
107. H. Nakadoi, D. Sobey, M. Yamakita, T. Mukai, "Liquid environment-adaptive IPMC fish-like robot using extremum seeking feedback", Proceedings of 2008. IEEE/RSJ Inter national Conference on Intelligent Robots and Systems, pp. 3089-3094, 2008
108. D. Nešić, "Extremum seeking control: convergence analysis", Europ. J. Contr., vol. 15, No. 3-4, pp. 331-347, 2009.
109. D. Nešić, A. Mohamadi and C. Manzie, "A unifying approach to extremum seeking based on parameter estimation", submitted to Conf. Decis. Contr., Atlanta, Georgia, USA, 2010.
110. Nusawardhana, S. H. Zak, "Extremum seeking using analog nonderivative optimizers", Proceedings of the 2003 American Control Conference, pp. 3242-3247, 2003.
111. Nusawardhana, S. H. Zak, "Simultaneous perturbation extremum seeking method for dynamic optimization problems", Proceedings of the 2004 American control conference, pp. 2085-2810, 2004.
112. V.K. Obabkov, "Theory of multichannel extremal control systems with sinusoidal probe signals", Automation and Remote Control, vol. 28, pp. 48-54, 1967.
113. P. Ögren, E. Fiorelli and N.E. Leonard, "Cooperative control of mobile sensor networks: adaptive gradient climbing in a distributed environment", IEEE Trans. Automat. Contr., vol. 49, 1292-1302, 2004.
114. R. Oldenburger, Ed., "Optimal and Self-Optimizing Control", MIT Press, 1966.
115. C. Olalla, M. I. Arteaga, R. Leyva, A. E. Aroudi, "Analysis and comparison of extremum seeking control techniques", Proceedings of IEEE International Symposium on Industrial Electronics, pp. 72-76, 2007.
116. I.I. Ostrovskii, "Extremum regulation", Automatic and Remote Control, vol. 18, 900-907, 1957.
117. Y. Ou, C. Xu, E. Schuster, T. C. Luce, J. R. Ferron, M. L. Walker, "Extremum-seeking finite-time optimal control of plasma current profile at the DIII-D tokamak" Proceedings of 2007 American Control Conference, pp. 4015-4020, 2007.
118. Y. Ou, C. Xu, E. Schuster, T. C. Luce, J.R. Ferron, M. L. Walker and D. A. Humphreys, "Design and simulation of extremum-seeking open-loop optimal control of current profile in the DIII-D tokamak", Plasma Physics and Controlled Fusion, vol. 50, pp. 1-24, 2008.
119. T. L. Pan, Z. C. Ji and Z. H. Jiang, "Conversion systems based on sliding mode extremum seeking control", Proceedings of IEEE Energy 2030, Atlanta, GA USA 17-18 November, pp. 1-5, 2008.
120. Y. D. Pan, T. Acarman and Ümit Özgüner, "Nash solution by extremum seeking control approach", Proceedings of the 41st IEEE Conference on Decision and Control, pp. 329-334, 2002.
121. Y. D. Pan and K. Furuta, "Variable structure control by switching among feedback control laws", Proceedings of 45th IEEE Conference on Decision and Control, pp. 789-794, 2006. (Pubitemid 351284352)
122. Y. D. Pan and Ümit Özgüner, "Discrete-time extremum seeking algorithms", Proceedings of 2002 American Control Conference, Anchorage, AK, May 8-10, pp. 3147-3152, 2002.
123. Y. D. Pan and Ümit Özgüner, "Sliding mode extremum seeking control for linear quadratic dynamic game", Proceedings of the 2004 American Control Conference Boston, Massachusetts, pp. 614-619, 2004.
124. A. A. Pervozvanskii, "Continuous extremum control system in the presence of random noise", Automatic and Remote Control, vol. 21, 673-677, 1960.
125. K. S. Peterson and A. G. Stefanopoulou, "Extremum seeking control for sof landing of an electromechanical valve actuator", Automatica, vol. 40, 1063-1069, 2004.
126. B. T. Poljak and Y. Z. Tsypkin, "Pseudogradient adaptation and training algorithms", Automation and Remote Control, vol. 34, No. 3, pp. 377-397, 1973.
127. D. Popović, M. Janković, S. Manger and A. R. Teel, "Extremum seeking methods for optimization of variable cam timing engine operation", IEEE Transactions on Control Systems Technology, vol. 14, 2006.
128. V. P. Putsillo, "The principles of construction of one class of extermal control systems for automatized circuits in production process", Proceedings of Internatl Federation of Automatic Control Congress, Moscow, USSR, 1960.
129. L, Pun, "Comments on adaptation concepts and on analysis of control systems", IEEE Transations on Automatic Control, vol 8, No. 3, pp. 266-269, 1963.
130. J. D. Roberts, "Extremum or hill-climbing regulation: a statistical theory involving lags, disturbances and noise", Proc. IEE, vol. 112, pp. 137-150, 1965.
131. M. A. Rotea, "Analysis of multivariable extremum seeking algorithms", Proceedings of the 2000 American Control Conference, pp. 433-437, 2000.
132. P. Sadegh, "Constrained optimization via stochastic approximation with a simultaneous perturbation gradient approximation", Automatica, vol. 33, No. 5, pp. 889-892, 1997.
133. Sanders, J. A. and Verhulst, F. Averaging methods in nonlinear dynamical systems, Springer-Verlag, New York, 1985.
134. G. Schneider, K. B. Ariyur, M. Krstić, "Tuning of a combustion controller by extremum seeking: a simulation study", Proceedings of the 39th IEEE Conference on Decision and Control, pp. 5219-5223, 2000.
135. E. Schuster, E. Morinaga, C. K. Allen, M. Krstić, "Optimal beam matching in particle accelerators via extremum seeking", Proceedings of 2006 American Control Conference, Minneapolis, Minnesota, USA, June 14-16, pp. 1962-1967, 2006.
136. P. G. Scotson, "Self-tuning optimisation of automotive engines", PhD thesis, Control Systems Centre, UMIST, 1986.
137. P. Scotson and P. E. Wellstead, "Self-tuning optimisation of spark ignition automobile engines", Proc. 1989 ACC, Pittsburgh, USA, 1989.
138. P. Scotson and P. E. Wellstead, "Self-tuning optimization of spark ignition automotive engines", IEEE Control Syst. Mag., vol. 3, No. 10, pp. 94-101, 1990.
139. S. Skogestad, "Plantwide control: The search for the self-optimizing control structure", Journal of Proceedings Control, vol. 10, pp. 487-507, 2000.
140. J. C. Spall, "Multivariate stochastic approximation using simultaneous perturbation gradient approximation", IEEE Trans. Automat. Contr., vol. 37, pp. 332-341, 1992.
141. J. Spall, "A one-measurement form of simultaneous perturbation stochastic approximation", Automatica, vol. 33, pp. 109-112, 1997.
142. J. Spall, "Implementation of the simultaneous perturbation algorithm for stochastic optimization", IEEE Trans Aerosp. Electron. Syst., pp. 817-823, 1998. (Pubitemid 128737755)
143. J.L. Speyer, R. N. Banavar, D. F. Chichka, I. Rhee, "Extremum seeking loops with assumed functions", Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia December, pp. 142-147, 2000.
144. M. S. Stankovic and D. M. Stipanovic, "Discrete time extremum seeking by autonomous vehicles in a stochastic environment", Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference, pp. 4541-4546, 2009.
145. J. Sternby, "Extremum control systems: An area for adaptive control?", Proc. Joint Amer. Contr. Conf., San Francisco, CA, 1980.
146. K. Stegath, N. Sharma, C. M. Gregory and W. E. Dixon, "An extremum seeking method for non-isometric neuromuscular electrical stimulation", Proceedings of the 41st IEEE Conference on Systems, Man and Cybernetics 2007, pp. 2528-2532, 2007.
147. S. Sugihira, K. Ichikawa, H. Ohmori, "Starting speed control of si engine based on online extremum control", Proceedings of SICE 2007 Annual Conference, pp. 2569-2573, 2007.
148. H. Takata, D. Matsumoto and T. Hachino, "An extremum seeking control via Chebyshev polynomial identification and LQ control", Journal of Signal Processing, vol. 7, No. 6, pp. 509-515, 2003.
149. H. Takata, T. Hachino, R. Tamura and K. Komatsu, "Design of extremum seeking control with accelerator", The Institute of Electronics, Information and Communication Engineers. Trans. Fundamentals, vol. E88-A, No. 10, pp. 2535-2540, 2005.
150. Y. Tan, D. Nešić, I.M.Y. Mareels, "On non-local stability properties of extremum seeking control", Proc. 16th IFAC World Congress, Prague, Czech Republic, pp. 2483-2489, 2005.
151. Y. Tan, D. Nešić and I.M. Mareels, "On non-local stability properties of extremum seeking controllers", Automatica, vol. 42, 889-903, 2006.
152. Y. Tan, D. Nešić, I. M. Mareels and A. Astolfi, "On the global extremum seeking control", Automatica, Vol. 45, No. 1, pp. 245-251, 2009.
153. Y. Tan, D. Nešić, I. M. Mareels, "On the dither choice in extremum seeking control", Automatica, 2007.
154. M. Tanelli, A. Astolfi and S. M. Savaresi, "Non-local extremum seeking control for active braking control systems", Proceedings of the 2006 IEEE International Conference on Control Applications, Munich, Germany, October 4-6, pp. 891-896, 2006.
155. A.R. Teel and D. Popović, "Solving smooth and nonsmoooth multivariable extremum seeking problems by the methods of nonlinear programming" Proc. 2000 Amer. Contr. Conf., Arlington, VA, June 25-27, (2001), 2394-2399, 2000.
156. M. Titica, D. Dochain and M. Guay, "Adaptive extremum-seeking control of fed-batch bioreactors", European Journal of Control, vol. 9, No. 6, pp. 614-627, 2003.
157. D. M. Titterington, "A method of extremum adaptation", J. Inst. Math. Applics vol. 11, pp. 297-315, 1973.
158. D. M. Titterington, "An example of a perturbation-type extremum controller", Journal of Applied Probability, vol. 11, No. 3 pp. 513-520, 1974.
159. H. S. Tsien and S. Serdengecti, "Annalysis of peak-holding optimalizing control", J. Aero. Sci., vol. 22, pp. 561-570, 1955.
160. I. Tunay, "Antiskid control for aircraft via extremum-seeking", Proceedings of the 2001 American Control Conference, pp. 665-670, 2001.
161. V. Tyagi, H. Sane and S. Darbha, "An extremum seeking algorithm for determining the set point temperature for condensed water in a cooling tower", Proceedings of 2006 American Control Conference, 2006.
162. S. vander Meulen, B. de Jager, E. vander Noll, F. Veld-paus, F. vander Sluis, M. Steinbuch, "Improving pushbelt continuously variable transmission efficiency via extremum seeking control," Proceedings of 2009 IEEE Conference on Control Applications, (CCA) & Intelligent Control, (ISIC), pp. 357-362, 2009.
163. G. Vasu, "Optimalizing control applied to control of engine pressure", Transactions ASME, vol. 79, pp. 481-488, 1957.
164. C. Walsh, "On the application of multi-parameter extremum seeking control", Proceedings of the 2000 American Control Conference, pp. 411-415, 2000.
165. H.-H. Wang, S. Yeung, and M. Krstić, "Experimental application of extremum seeking on an axial-flow compressor", IEEE Transactions on Control Systems Technology, 8, pp. 300-309, 2000.
166. H.-H. Wang and M. Krstić, "Extremum seeking for limit cycle minimization", IEEE Transactions on Automatic Control, vol. 45, 2432-2437, 2000. (Pubitemid 33775438)
167. H.-H. Wang, M. Krstić, and G. Bastin, "Optimizing bioreactors by extremum seeking", International Journal on Adaptive Control and Signal Processing, vol. 13, pp. 651-669, 1999.
168. P.E. Wellstead, P.G. Scotson, "Self-tuning extremum control", IEE Proceedings, vol. 137, No. 3, 1990.
169. D. J. Wilde, Optimum Seeking Methods. Englewood NJ: Prentice-Hall Inc., 1964.
170. F. Xie, X. M. Zhang, R. Fierro, M. Motter, "Autopilot-based Nonlinear UAV Formation Controller with Extremum-Seeking", Proceedings of 44th IEEE Conference on Decision and Control, 2005 and 2005 European Control Conference, pp. 4933-4938, 2005.
171. H. Yu and U. Ozguner, "Extremum-seeking control strategy for ABS system with time delay", Proceedings of the 2002 American Control Conference, Anchorage, AK May 8-1, pp. 3753-3758, 2002.
172. H. Yu and U. Ozguner, "Extremum-seeking control via sliding mode with periodic search signals", Proceedings of the 41st IEEE Conference on Decision and Control, pp. 323-328, 2002.
173. H. Yu and U. Ozguner, "Smooth extremum-seeking control via second order sliding mode", Proceedings of the 2003 American Control Conference, pp. 3248-3253, 2003.
174. S. Yamanaka and H. Ohmori, "Nonlinear adaptive extremum seeking control for time delayed index in the presence of deterministic disturbance", Proceedings of PhysCon 2005, St. Petersburg, Russia, 2005.
175. C. Zhang and R. Ordórñez, "Numerical optimization-based extremum seeking control of LTI systems", Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005, Seville, Spain, December 12-15, pp. 4428-4433, 2005.
176. C. Zhang and R. Ordórñez, "Non-gradient extremum seeking control of feedback linearizable systems with application to ABS design", Proceedings of the 45th IEEE Conference on Decision & Control, Manchester Grand Hyatt Hotel, San Diego, CA, USA, December 13-15, pp. 6666-6671, 2006.
177. C. Zhang and R. Ordórñez, "Extremum seeking control based on numerical optimization and state regulation - Part I: theory and framework", Proceedings of the 45th IEEE Conference on Decision & Control, Manchester Grand Hyatt Hotel, San Diego, CA, USA, December 13-15, pp. 4466-4471, 2006. (Pubitemid 351284229)
178. C. Zhang and R. Ordórñez, "Extremum seeking control based on numerical optimization and state regulation - Part II: robust and adaptive control design", Proceedings of the 45th IEEE Conference on Decision & Control, Manchester Grand Hyatt Hotel San Diego, CA, USA, December 13-15, pp. 4460-4465, 2006. (Pubitemid 351284247)
179. C. Zhang, D. Arnold, N. Ghods, A. Siranosian and M. Krstić, "Source seeking with non-holonomic unicycle without position measurement and with tuning of forward velocity", Systems and Control Letters, vol. 56, pp. 245-252, 2007. (Pubitemid 46123630)
180. C. Zhang and R. Ordórñez, "Numerical optimization-based extremum seeking control with application to ABS design", IEEE Transactions on Automatic Control, vol. 52, No. 3, pp. 454-467, 2007.
181. C. Zhang and R. Ordórñez, "Robust and adaptive design of numerical optimization-based extremum seeking control", Automatica, vol. 45, pp. 634-646, 2009.
182. C. Zhang, A. Siranosian and M. Krstić, "Extremum seeking for moderately unstable systems and for autonomous vehicle target tracking without position measurements", Automatica, vol. 43, pp. 1832-1839, 2007.
183. T. Zhang, M. Guay, and D. Dochain, "Adaptive extremum seeking control of continuous stirred-tank bioreactors", AIChe Journal, vol. 17, No. 10, pp. 113-123, 2003. (Pubitemid 36378216)
184. X. T. Zhang, D. M. Dawson, W. E. Dixon, and B. Xian, "Extremum- seeking nonlinear controllers for a human exercise machine", IEEE/ASME Transactions on mechatronics, vol. 11. 2006.
185. Y. Zhang, "Stability and performance tradeoff with discrete time triangular search minimum seeking", Proceedings of the 2000 American control conference, vol. 1, pp. 423-427, 2000.
186. Z. Zhong, H. Huo, X. Zhu, G. Cao and Y. Ren, "Adaptive maximum power point tracking control of fuel cell power plants", Journal of Power Sources, vol. 176, pp. 259-269, 2008.
187. B. Zuo and Y. A. Hu, "Optimizing UAV close formation flight via extremum seeking", Proceedings of Fifth World Congress on Intelligent Control and Automation, pp. 3302-3305, 2004.