Novel fuzzy feedback linearization strategy for control via differential geometry approach

ISA Transactions

Volumn 49, Issue 3, 2010, Pages 348-357

  Li, Tzuu Hseng S ^a   Huang, Chiou Jye ^a   Chen, Chung Cheng ^b  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b NATIONAL CHIAYI UNIVERSITY   (Taiwan)

Author keywords

Almost disturbance decoupling; Composite Lyapunov approach; Feedback linearizable; Fuzzy logic control; TakagiSugeno fuzzy model; Uniform ultimate bounded

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CLOSED LOOP SYSTEMS; COMPUTER CIRCUITS; FUZZY LOGIC; GEOMETRY; NONLINEAR CONTROL SYSTEMS;

ALMOST DISTURBANCE DECOUPLING; COMPOSITE LYAPUNOV APPROACH; FUZZY LOGIC CONTROL; TAKAGI SUGENO FUZZY MODELS; UNIFORM ULTIMATE BOUNDED;

FEEDBACK LINEARIZATION;

ALGORITHM; ARTICLE; FEEDBACK SYSTEM; FUZZY LOGIC; INDUSTRY; KINETICS; MECHANICS; METHODOLOGY; PHYSICS; STATISTICAL MODEL;

ALGORITHMS; FEEDBACK; FUZZY LOGIC; INDUSTRY; KINETICS; LINEAR MODELS; MECHANICS; PHYSICS;

EID: 77955654001     PISSN: 00190578     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.isatra.2010.02.004     Document Type: Article

References (45)

1. H.K. Khalil Nonlinear systems 1996 Prentice-Hall New Jersey
2. P.P. Yip, and J.K. Hedrick Adaptive dynamic surface control: a simplified algorithm for adaptive backstepping control of nonlinear systems Internat J Control 71 5 1998 959 979
3. D. Swaroop, J.K. Hedrick, P.P. Yip, and J.C. Gerdes Dynamic surface control for a class of nonlinear systems IEEE Trans Automat Control 45 10 2000 1893 1899
4. A. Isidori, and C.I. Byrnes Output regulation of nonlinear systems IEEE Trans Automat Control 35 February 1990 131 140
5. H. Peroz, B. Ogunnaike, and S. Devasia Output tracking between operating points for nonlinear processes: Van de Vusse example IEEE Trans Control Syst Technol 10 4 2002 611 617
6. J.A. Ball, J.W. Helton, and M.L. Walker H∞ control for nonlinear systems with output feedback IEEE Trans Automat Control 38 April 1993 546 559
7. A. Isidori, and W. Kang H∞ control via measurement feedback for general nonlinear systems IEEE Trans Automat Control 40 March 1995 466 472
8. A.J. Vander Schaft L 2 -gain analysis of nonlinear systems and nonlinear state feedback H∞ control IEEE Trans Automat Control 37 1992 770 784
9. A. Isidori H∞ control via measurement feedback for affine nonlinear systems Internat J Robust Nonlinear Control 1994
10. J. Huang, and W.J. Rugh On a nonlinear multivariable servomechanism problem Automatica 26 June 1990 963 992
11. S. Gopalswamy, and J.K. Hedrick Tracking nonlinear nonminimum phase systems using sliding control Internat J Control 57 May 1993 1141 1158
12. B.S. Chen, C.H. Lee, and Y.C. Chang H∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach IEEE Trans Fuzzy System 4 1 1996 32 43
13. A. Isidori Nonlinear control system 1989 Springer Verlag New York
14. H. Nijmeijer, and A.J. Van Der Schaft Nonlinear dynamical control systems 1990 Springer Verlag New York
15. J.J.E. Slotine, and W. Li Applied nonlinear control 1991 Prentice-Hall New York
16. S.J. Joo, and J.H. Seo Design and analysis of the nonlinear feedback linearizing control for an electromagnetic suspension system IEEE Trans Automat Control 5 1 1997 135 144
17. M.J. Corless, and G. Leitmann Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems IEEE Trans Automat Control 26 5 1981 1139 1144
18. Sheen JJ, Bishop RH. Adaptive nonlinear control of spacecraft. In: Proceedings of the American control conference. 1998. p. 286771.
19. Alleyne A. A systematic approach to the control of electrohydraulic servosystems. In: Proceedings of the American control conference. 1998. p. 8337.
20. Bedrossian NS. Approximate feedback linearization: the car-pole example. In: Proceedings of the 1992 IEEE international conference on robotics and automation. 1992. p. 198792.
21. Lee SY, Lee JI, Ha IJ. A new approach to nonlinear autopilot design for bank-to-turn missiles. In: Proceedings of the 36th conference on decision and control. 1997. p. 41927.
22. S. Trkay, and H. Akay Aspects of achievable performance for quarter-car active suspensions J Sound Vib 311 12 2008 440 460
23. Floares A. Feedback linearization using neural networks applied to advanced pharmacodynamic and pharmacogenomic systems. In: IEEE international joint conference on neural networks, vol. 1. 2005. p. 1738.
24. J.C. Willems Almost invariant subspace: An approach to high gain feedback designPart I: almost controlled invariant subspaces IEEE Trans Automat Control AC-26 1 1981 235 252
25. R. Marino, W. Respondek, and A.J. Van Der Schaft Almost disturbance decoupling for single-input single-output nonlinear systems IEEE Trans Automat Control 34 9 1989 1013 1017
26. S. Weiland, and J.C. Willems Almost disturbance decoupling with internal stability IEEE Trans Automat Control 34 3 1989 277 286
27. R. Marino, and P. Tomei Nonlinear output feedback tracking with almost disturbance decoupling IEEE Trans Automat Control 44 1 1999 18 28
28. C. Qian, and W. Lin Almost disturbance decoupling for a class of high-order nonlinear systems IEEE Trans Automat Control 45 6 2000 1208 1214
29. E.H. Mamdani, and S. Assilian An experiment in linguistic synthesis with a fuzzy logic controller Internat J Man-Machine Studies 7 1 1975 1 13
30. T. Takagi, and M. Sugeno Fuzzy identification of systems and its applications to modelling and control IEEE Trans Syst Man Cybern 15 1985 116 132
31. J. Mendel Uncertain rule-based fuzzy inference systems: introduction and new directions 2001 Prentice-Hall
32. H.O. Wang, K. Tanaka, and M.F. Griffin An approach to fuzzy control of nonlinear systems: stability and design issues IEEE Trans Fuzzy Syst 4 1996 14 23 (Pubitemid 126782417)
33. Tanaka K, Sugeno M. Stability analysis of fuzzy control systems using Lyapunov's direct method. In: Proc. of NAFIPS'90. 1990. p. 1336.
34. K. Tanaka, and M. Sugeno Stability analysis and design of fuzzy control systems Fuzzy Sets and Systems 45 2 1992 135 156
35. Lam HK, Leung FHF, Tam PKS. Fuzzy state feedback controller for nonlinear systems: stability analysis and design. In: The IEEE international conference on fuzzy systems, vol. 2. 2002. p. 67781.
36. Tanaka K, Hori T, Wang HO. A multiple Lyapunov function approach to stabilization of fuzzy control systems. In: The IEEE international conference on fuzzy systems, vol. 11, no. 4. 2003. p. 5829.
37. Kawamoto S, Tada K, Ishigame A, Taniguchi T. An approach to stability analysis of second order fuzzy systems. In: The IEEE international conference on fuzzy systems. 1992. p. 142734.
38. M.A. Henson, and D.E. Seborg Critique of exact linearization strategies for process control J Proc Control 1 1991 122 139
39. K. Khorasani, and P.V. Kokotovic A corrective feedback design for nonlinear systems with fast actuators IEEE Trans Automat Control 31 1986 67 69
40. R. Marino, and P.V. Kokotovic A geometric approach to nonlinear singularly perturbed systems Automatica 24 1988 31 41
41. R.K. Miller, and A.N. Michel Ordinary differential equations 1982 Academic Press New York
42. R.R. Yager, and D.P. Filev Essentials of fuzzy modeling and control 1994 Wiley New York
43. Amira GmbH. Handbook of laboratory equipment ball and beam system. Duisburg, Germany; 1999.
44. J.S. Lin, and I. Kanellakopoulos Nonlinear design of active suspensions IEEE Control Syst Mag 17 3 1997 45 59
45. A.G. Thompson, and C.E.M. Pearce Performance index for a preview active suspension applied to a quarter-car model Vehicle Syst Dynam 35 2001 55 66