Simple adaptive control - A stable direct model reference adaptive control methodology - Brief survey

International Journal of Adaptive Control and Signal Processing

Volumn 28, Issue 7-8, 2014, Pages 567-603

  Barkana, Itzhak ^a  

^a Barkana Consulting   (Israel)

Author keywords

adaptive control; almost strict passivity (ASP); nonstationary systems; passivity; stability; uncertain systems

Indexed keywords

CONTROL SYSTEM STABILITY; CONVERGENCE OF NUMERICAL METHODS; STABILITY; UNCERTAIN SYSTEMS;

ADAPTIVE CONTROL; MODEL REFERENCE ADAPTIVE; NONSTATIONARY SYSTEMS; OPERATIONAL ENVIRONMENTS; PASSIVITY; REAL-WORLD SYSTEM; SIMPLE ADAPTIVE CONTROL; STRICT PASSIVITY;

MODEL REFERENCE ADAPTIVE CONTROL;

EID: 84905223457     PISSN: 08906327     EISSN: 10991115     Source Type: Journal    
DOI: 10.1002/acs.2411     Document Type: Article

References (122)

1. Whitaker HP,. An adaptive performance of aircraft and spacecraft. Inst. Aeronautical Sciences, Paper 59-100, 1959.
2. Osborn PV, Whitaker HP, Kezer A,. New developments in the design of model reference adaptive control systems. Inst. Aeronautical Sciences, Paper 61-39. 1961.
3. Hahn W,. Stability of Motion. Springer-Verlag: New York, 1967.
4. Monopoli RV,. Model reference adaptive control with an augmented error signal. IEEE Transactions on Automatic Control 1974; AC-19 (5): 474-484.
5. Van Amerongen J, Ten Cate AU,. Model reference adaptive controller for ships. Automatica 1975; 11: 441-449.
6. Feuer A, Morse AS,. Adaptive control of single-input, single-output linear systems. IEEE Transactions on Automatic Control 1978; 23 (4): 557-569.
7. Morse AS,. Global stability of parameter adaptive control systems. IEEE Transactions on Automatic Control 1980; 25 (3): 433-439.
8. Landau ID,. A survey of model reference adaptive techniques: theory and applications. Automatica 1974; 10 (4): 353-379.
9. Landau ID,. Adaptive Control-The Model Reference Approach. Marcel Dekker: New York, NY, 1979.
10. Narendra KS, Valavani LS,. Adaptive controller design-direct control. IEEE Transactions on Automatic Control 1978; 23: 570-583.
11. Narendra KS, Valavani LS,. Direct and indirect model reference adaptive control. Automatica 1979; 15: 653-664.
12. Narendra KS, Lin YH, Valavani LS,. Stable adaptive controller design-part II: proof of stability. IEEE Transactions on Automatic Control 1980; 25: 440-448.
13. Narendra KS, Annaswami A,. Stable Adaptive Systems. Prentice Hall: Englewood Cliffs, NJ, 1989.
14. Goodwin GC, Ramadge PJ, Caines PE,. Discrete time multivariable adaptive control. IEEE Transactions on Automatic Control 1980; 25: 449-456.
15. Goodwin GC, Sin K,. Adaptive Filtering, Prediction and Control. Prentice Hall: Englewood Cliffs, NJ, 1984.
16. Astrom KJ,. Theory and applications of adaptive control-a survey. Automatica 1983; 19 (5): 471-486.
17. Astrom KJ, Wittenmark B,. Adaptive Control. Addison Wesley: Reading, MA, 1989.
18. Ioannou P, Kokotovic P,. Adaptive Systems with Reduced Models. Springer-Verlag: Berlin, 1983.
19. Moir T, Grimble M,. Optimal self-tuning filtering, prediction, and smoothing for discrete multivariable processes. IEEE Transactions on Automatic Control 1984; 29 (2): 128-137.
20. Mareels I,. A simple selftuning controller for stable invertible systems. Systems and Control Letters 1984; 4: 5-16.
21. Kreisselmayer G, Anderson B,. Robust model reference adaptive control. IEEE Transactions on Automatic Control 1986; 31 (2): 127-133.
22. Ortega R, Yu T,. Theoretical results on robustness of direct adaptive controllers. Proceedings of IFAC Triennial World Conference 1987; 10: 1-15.
23. Sastri S, Bodson M,. Adaptive Control: Stability, Convergence and Robustness. Prentice-Hall: Upper Saddle River, NJ, 1989.
24. Ioannou P, Sun J,. Robust Adaptive Control. Prentice-Hall: Upper Saddle River, NJ, 1996.
25. Bitmead R, Gevers M, Wertz V,. Adaptive Optimal Control, The Thinking Man's GPC. Prentice Hall: Englewood Cliffs, New Jersey, 1990.
26. Wellstead P, Zarrop M,. Self-Tuning Control Systems. Wiley: Chichester, UK, 1991.
27. Krstic M, Kanellakopoulos I, Kokotovic P,. Nonlinear and Adaptive Control Design. Wiley: New York, 1995.
28. Anderson BDO,. Failures of adaptive control theory and their resolution. Communications in Information and Systems 2005; 5 (1): 1-20.
29. Hovakimyan N, Cao C,. L1 Adaptive Control Theory. Society for Industrial and Applied Mathematics: Philadelphia, PA, 2010.
30. Kalman R,. When is a linear system optimal? Transactions of ASME, Journal of Basic Engineering, Serries D 1964; 86: 81-90.
31. Kaufman H, Barkana I, Sobel K,. Direct Adaptive Control Algorithm, 2nd ed., Springer-Verlag: New York, 1998.
32. Cauer W,. Synthesis of Linear Communication Networks. McGraw-Hill: New York, 1958.
33. Popov VM,. Absolute stability of nonlinear control systems of automatic control. Automation and Remote Control 1962; 22: 857-862.
34. Anderson BDO, Vongpanitlerd S,. Network Analysis and Synthesis: A Modern Systems Theory Approach. Prentice-Hall, Inc.: Englewood Cliffs, NJ, 1973.
35. Ioannou PA, Tao G,. Frequency domain conditions for strictly positive real functions. IEEE Transactions on Automatic Control 1987; 32: 53-54.
36. Wen JT,. Time-domain and frequency domain conditions for strictly positive realness. IEEE Transactions on Automatic Control 1988; 33: 988-992.
37. Barkana I, Kaufman H,. Global stability and performance of an adaptive control algorithm. International Journal of Control 1985; 46 (6): 1491-1505.
38. Barkana I,. Parallel feedforward and simplified adaptive control. International Journal on Adaptive Control and Signal Processing 1987; 1 (2): 95-109.
39. Fradkov AL,. Passification of non-square linear systems and feedback Yakubovich-Kalman-Popov lemma. European Journal of Control 2003; 6: 573-582.
40. Fradkov AL, Hill D,. Exponential feedback passivity and stabilizability of nonlinear systems. Automatica 1998; 34 (6): 697-703.
41. Fradkov AL,. Quadratic Lyapunov function in the adaptive stabilization problem of a linear dynamic plant. Siberian Mathematical Journal 1976; 17 (2): 341-348.
42. Barkana I,. Comments on 'Design of strictly positive real systems using constant output feedback'. IEEE Transactions on Automatic Control 2004; 49: 2091-2093.
43. Huang CH, Ioannou PA, Maroulas J, Safonov MG,. Design of strictly positive real systems using constant output feedback. IEEE Transactions on Automatic Control 1999; 44 (3): 569-573.
44. Barkana I, Teixeira MCM, Hsu L,. Mitigation of symmetry condition from positive realness for adaptive control. Automatica 2006; 42 (9): 1611-1616.
45. Barkana I,. On adaptive model tracking with mitigated passivity conditions. 52nd Israel Annual Conference on Aerospace Sciences, Israel, February 2012.
46. Barkana I,. Extensions in adaptive model tracking with mitigated passivity conditions. Chinese Journal of Aeronautics 2013; 26 (1): 136-150. (Available from: http://dx.doi.org/10.1016/j.cja.2012.12.027).
47. Hsu L, Costa R,. MIMO direct adaptive control with reduced prior knowledge of the high-frequency gain. Proceedings of 38th IEEE Conference on Decision and Control, Phoenix, AZ, 1999; 3303-3308.
48. Sobel K, Kaufman H, Mabus L,. Implicit adaptive control for a class of MIMO systems. IEEE Transactions on Aerospace 1982; 18 (5): 576-590.
49. Barkana I, Kaufman H,. Discrete direct multivariable adaptive control. Proceedings 1st IFAC Workshop on Adaptive Systems in Control and Signal Processing, San Francisco, Ca, June 1983; 357-362.
50. Kaufman H, Balas M, Barkana I, Rao L,. Model reference adaptive control of large scale systems. Proceedings 20th IEEE Conference on Decision and Control, San Diego, CA, December 1981; 984-989.
51. Barkana I, Kaufman H,. Model reference adaptive control for time-variable input commands. Proceedings 1982 Conference on Informational Sciences and Systems, Princeton, NJ, March 1982; 208-211.
52. Barkana I, Kaufman H, Balas M,. Model reference adaptive control of large structural systems. AIAA Journal of Guidance 1983; 6 (2): 112-118.
53. Barkana I,. Direct multivariable adaptive control with application to large structural systems. PhD Dissertation, ECSE Dept., Rensselaer Polytechnic Institute, Troy, New York, May 1983.
54. Wen J, Balas M,. Finite-dimensional direct adaptive control for discrete-time infinite-dimensional Hilbert space. Journal of Mathematical Analysis & Applications 1989; 143: 1-26.
55. Balas M,. Direct model reference adaptive control in infinite-dimensional linear spaces. Journal of Mathematical Analysis & Applications 1995; 196 (1): 153-171.
56. Nussbaum RO,. Some remarks on a conjecture in parameter adaptive control. Systems and Control Letters 1983; 3: 243-246.
57. Morse AS,. New directions in parameter adaptive control systems. Proceedings of the 23rd IEEE Conference on Decision and Control, Las Vegas, NV, 1984; 1566-1568.
58. Heyman M, Lewis JH, Meyer G,. Remarks on the adaptive control of linear plants with unknown high frequency gain. Systems and Control Letters 1985; 5 (6): 357-362.
59. Byrnes CI, Willems JC,. Adaptive stabilization of multivariable linear systems. Proceedings of the 23rd IEEE Conference on Decision and Control, Las Vegas, NV, 1984; 1547-1577.
60. Ilchman A, Owens D, Pratzel-Wolters D,. Remarks on the adaptive control of linear plants with unknown high frequency gain. Systems and Control Letters 1987; 8: 397-404.
61. Mareels I, Polderman J,. Adaptive Systems: An Introduction. Birkhauser: Boston, MA, 1996.
62. Broussard J, Berry P,. Command generator tracking-the continuous time case. Technical Report TASC, Technical Report TIM-612-1, 1978.
63. Ih CH, Wang S, Leondes C,. Application of adaptive control to space stations. AIAA Paper 85-1970, August 1985.
64. Ih CH, Bayard D, Wang SJ,. Adaptive controller design for space station structures with payload articulation. Proceedings of 4th IFAC Symposium on Control of Distributed Parameter Systems, University of California, Los Angeles, 1986.
65. Bayard D, Ih CH, Wang SJ,. Adaptive control for flexible space structures with measurement noise. Proceedings of American Control Conference, Evanston, IL, 1987; 81-94.
66. Ih CH, Wang S, Leondes C,. Adaptive control for the space station. IEEE Control Systems Magazine 1987; 7 (1): 29-34.
67. Lee F, Fong I, Lin Y,. Decentralized model reference adaptive control for large flexible structures. Proceedings of American Control Conference, Evanston, IL, 1988; 1538-1544.
68. Mufti IH,. Model reference adaptive control for large structural systems. Journal of Guidance, Control, and Dynamics 1987; 7 (5): 507-509.
69. Shimada Y,. Adaptive control of large space structures. Proceedings of the 16th International Symposium on Space Technology and Science, Sapporo, Japan, 1998.
70. Balas M,. Adaptive control of aerospace structures with persistent disturbances. Proceedings of 15th IFAC Symposium on Automatic Control in Aerospace, Bologna, Italy, 2001.
71. Sanchez E,. Adaptive control robustness in flexible aircraft application. Proceedings of the American Control Conference, Evanston, IL, 1986; 494-496.
72. Morse W, Ossman K,. Model following reconfigurable flight control system for the AFTI/F-16. Journal of Guidance, Control, and Dynamics 1990; 13 (6): 969-976.
73. Barkana I, Fischl R,. A simple adaptive enhancer of voltage stability for generator excitation control. Proceedings of the American Control Conference, Evanston,IL, 1992; 1705-1709.
74. Barkana I, Guez A,. Simplified techniques for adaptive control of robots. In Control and Dynamic Systems-Advances in Theory and Applications, Vol. 41, Leondes C, (ed.). Academic Press: New York, 1991.
75. Shibata H, Sun Y, Fujinaka T, Maruoka G,. Discrete-time simplified adaptive control algorithm and its applications to a motor control. IEEE International Symposium on Industrial Electronics (ISIE'96), Warsaw, Poland, 1996; 248-253.
76. Sun Y, Shibata H, Maruoka G,. Discrete-time simplified adaptive control of a DC motor based on asymptotic output tracker. Transactions of the Institute of Electrical Engineers of Japan 2000; 120-D (2): 254-261.
77. Palerm CC, Bequette BW, Ozcelik S,. Robust control of drug infusion with time delays Using direct adaptive control: Experimental results. Proceedings of the American Control Conference, Evanston, IL, 2000; 2972-2976.
78. Palerm CC, Bequette BW,. Direct model reference adaptive control and saturation constraints. Proceedings of the 15th Triennial IFAC World Congress, Barcelona, 2002; 2714-2719.
79. Barkana I, Kaufman H,. Simple adaptive control of uncertain systems. International Journal of Adaptive Control and Signal Processing 1988; 2 (1): 133-143.
80. Cohen K, Bossert DE,. Fuzzy logic non-minimum phase autopilot design. Proceedings of AIAA Guidance, Navigation, and Control Conference, Austin, TX, August 2003. AIAA paper 2003-5550.
81. Wang LX,. A Course in Fuzzy Systems and Control. Prentice-Hall: Upper Saddle River, NJ, 1997; pp. 221-225.
82. Barkana I,. Classical and simple adaptive control for non-minimum phase autopilot design. Journal of Guidance, Control, and Dynamics 2005; 24 (4): 631-638. (also in shorter form in Proceedings of the AIAA GN&C 2004, paper AIAA2004-4868).
83. Barkana I,. Gain conditions and convergence of simple adaptive control. International Journal of Adaptive Control and Signal Processing 2005; 19 (1): 13-40.
84. Slotine JJE, Li WP,. Applied Nonlinear Control. Englewood Cliffs: Prentice-Hall, 1991.
85. LaSalle JP,. Stability of nonautonomous systems. Nonlinear Analysis, Theory, Methods and Applications 1976; 1 (1): 83-90.
86. LaSalle JP,. The Stability of Dynamical Systems, 2nd ed., SIAM: New York, 1976.
87. Artstein Z,. Limiting Equations Stability of Nonautonomous Ordinary Differential Equations, Appendix A in LaSalle, The Stability of Dynamical Systems, 2nd ed., SIAM: New York, 1976.
88. Artstein Z,. Uniform asymptotic stability via the limiting equations. Journal of Differential Equations 1977; 25: 184-202.
89. Artstein Z,. Uniform asymptotic stability via the limiting equations. Journal of Differential Equations 1978; 27: 172-189.
90. Sastri S,. Nonlinear Systems. Springer: New York, 1999.
91. Khalil HK,. Nonlinear Systems, 3rd ed., Prentice-Hall: Englewood Cliffs, 2002.
92. Vidyasagar M,. Nonlinear Systems Analysis, 2nd ed., SIAM: Philadelphia, 2002.
93. Hou M, Duan G, Guo M,. New versions of Barbalat's lemma with applications. Journal of Control Theory and Applications 2010; 8: 545-547.
94. Lee T-C, Liaw D-C, Chen B-S,. A general invariance principle for nonlinear time-varying systems and its applications. IEEE Transactions on Automatic Control 2001; 46 (12): 1989-1993.
95. Barkana I,. Is there a simple and robust adaptive control? 53rd Israel Annual Conference on Aerospace Sciences, Israel, March 2005; 1035-1063.
96. Barkana I,. A modified invariance principle and gain convergence in adaptive control. 2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel (IEEEI 2008), Eilat, Israel, December 2008; 800-804.
97. Torres S, Mehiel E,. Nonlinear direct adaptive control and disturbance rejection for spacecraft. Proceedings of the AIAA GNC 2006, paper AIAA2006-6038, Keystone, Colorado, 2006.
98. Mareels I,. A simple self-tuning controller for stable invertible system. Systems and Control Letters 1984; 4: 5-16.
99. Iwai Z, Mizumoto I,. Robust and simple adaptive control systems. International Journal of Control 1992; 55: 1453-1470.
100. Iwai Z, Mizumoto I,. Realization of simple adaptive control by using parallel feedforward compensator. International Journal of Control 1994; 59: 1543-1565.
101. Fradkov AL,. Adaptive stabilization of minimal-phase vector-input objects without output derivative measurements. Physics-Doklady 1994; 39 (8): 550-552.
102. Barkana I,. Output feedback stabilizability and passivity in nonstationary and nonlinear systems. International Journal of Adaptive Control and Signal Processing 2010; 24 (7): 568-591. (Published online 3 November 2009).
103. Johansson R, Robertsson A,. Observer-based strict positive-real (SPR) feedback control system design. Automatica 2002; 38 (9): 1557-1564.
104. Barkana I,. Adatptive Control can Robustify Uncertain Control Systems. Proceedings American Control Conference, Baltimore, MD, 1994; 63-67.
105. Ritonja J, Dolinar D, Grcar B,. Simple adaptive control for stability improvement. Proceedings of the 2001 IEEE International Conference on Control and Applications, (ICCA), Mexico City, Mexico, 2001; 29-35.
106. Jeong GJ, Kim IH, Son YI,. Application of simple adaptive control to a DC/DC boost converter with load variation. ICCAS-SICE Conference, Fukuoka, Japan, 2009; 1747-1751.
107. Morse Q, Ossman K,. Model following reconfigurable flight control system for the AFTT/F-16. Journal of Guidance, Control, and Dynamics 1990; 13 (6): 969-976.
108. Yaesh I, Shaked U, Yossef T,. Simplified adaptive control of F16 aircraft pitch and angle-of-attack loops. 44th Israel Annual Conference on Aerospace Sciences, Israel, February 25-26, 2004.
109. Fradkov AL, Andrievsky B,. Combined adaptive controller for UAV guidance. European Journal of Control 2005; 11 (1): 71-79.
110. Belkharraz AI, Sobel K,. Simple adaptive control for aircraft control surface failures. IEEE Transactions on Aerospace and Electronic Systems 2007; 43 (2): 600-611.
111. An S, Ma Y, Cao Z,. Applying simple adaptive control to magnetic levitation system. Second International Conference on Intelligent Computation Technology and Automation, Changsha, Hunan, 2009; 746-749.
112. Yasser M, Mizumoto I,. Simple adaptive control using neural networks with offset error reduction for an SISO magnetic levitation system. International Journal of Advanced Mechatronic Systems 2011; 3 (5/6): 355-364.
113. Fradkov AL, Andrievsky B, Peaucelle D,. Adaptive control design and experiments for LAAS Helicopter benchmark. European Journal of Control 2008; 14 (4): 329-339.
114. Peaucelle D, Andrievsky B, Mahout V, Fradkov A,. Robust simple adaptive control with relaxed passivity and PID control of a helicopter benchmark. The 18th IFAC World Congress, Milano, Italy, August 28-September 2, 2011; 2315-2320.
115. Maganti GB, Singh SN,. Simplified adaptive control of an orbiting flexible spacecraft. Acta Astronautica 2007; 61: 575-589.
116. Mooij E,. Passivity analysis for non-linear, non-stationary entry capsules: Translational motion. The 18th IFAC World Congress, Milano, Italy, August 28-September 2, 2011; 6549-6554.
117. Peaucelle D, Drouot A, Pittet C, Mignot J,. Simple adaptive control without passivity assumptions and experiments on satellite attitude control DEMETER benchmark. The 18th IFAC World Congress, Milano, Italy, August 28-September 2, 2011; 6535-6540.
118. Ulrich S, Sasiadek JZ, Barkana I,. Modeling and direct adaptive control of a flexible-joint manipulator. Journal Guidance, Control, and Dynamics 2012; 35 (1): 25-39.
119. Rusnak I, Weiss H, Barkana I,. Improving the performance of existing missile autopilot using simple adaptive control. The 18th IFAC World Congress, Milano, Italy, August 28-September 2, 2011.
120. Liu M, Xu S, Han C,. A backstepping simple adaptive control application to flexible space structures. Chinese Journal of Aeronautics 2012; 25 (3): 446-452.
121. Ito K,. Control performance comparison of simple adaptive control to water hydraulic servo cylinder system. Proceedings of 19th Mediterranean Conference on Control and Automation, Corfu, Greece, 2011; 195-200.
122. Ito K, Yamada T, Ikeo S, Takahashi K,. Application of simple adaptive control to water hydraulic servo cylinder system. Chinese Journal of Mechanical Engineering 2013; 25 (5): 882-888.