Stabilisation of a class of nonlinear continuous time systems by a fuzzy control approach

Author(s): B. Yang ; Dongchuan Yu ; G. Feng ; C. Chen
DOI: 10.1049/ip-cta:20050336

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Author(s): B. Yang ¹ ; Dongchuan Yu ¹ ; G. Feng ¹ ; C. Chen ¹
- Affiliations: 1: Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Tat Chee Ave., Kowloon, Hong Kong
Source: Volume 153, Issue 4, July 2006, p. 427 – 436
DOI: 10.1049/ip-cta:20050336 , Print ISSN 1350-2379, Online ISSN 1359-7035

This paper addresses the stabilisation issue, via a fuzzy control approach, for a class of nonlinear systems which can be approximated by the so-called dynamic fuzzy models (DFMs). An approach to the controller design on exponential stabilisation of the DFMs with affine terms is first presented. Then it is shown that semi-global stabilisation of the original nonlinear system can be established, if the designed exponential decay rate for the controlled DFMs is large enough. A simulation example is finally used to illustrate the performance of the proposed controller design approach.

References

1. 1)
  - W.J. Kickert , E.H. Mamdani . Analysis of a fuzzy logic controller. Fuzzy Sets Syst. , 29 - 44
2. 2)
  - E.H. Mamdani , S. Assilian . Applications of fuzzy algorithms for control of simple dynamic plant. IEE Proc., Part-D , 1585 - 1588
3. 3)
  - Y.Y. Cao , P.M. Frank . Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach. IEEE Trans. Fuzzy Syst. , 2 , 200 - 211
4. 4)
  - E. Kim , D. Kim . Stability analysis and synthesis for an affine fuzzy system via LMI and ILMI: discrete case. IEEE Trans. Syst., Man Cybern. B, Cybern. , 1 , 132 - 140
5. 5)
  - R.M. Tong . A control engineering review of fuzzy systems. Automatica , 559 - 568
6. 6)
  - M. Sugeno . (1985) Industrial applications of fuzzy control.
7. 7)
  - S.G. Cao , N.W. Rees , G. Feng . Universal fuzzy controllers for a class of nonlinear systems. Fuzzy Sets Syst. , 1 , 117 - 124
8. 8)
  - L. Wang , G. Feng . Piecewise H∞ controller design of discrete time fuzzy systems. IEEE Trans. Syst. Man Cybern. B, Cybern. , 1 , 682 - 686
9. 9)
  - S.G. Cao , N.W. Rees , G. Feng . Analysis and design for a class of complex control systems. Part II: fuzzy controller design. Automatica , 1029 - 1039
10. 10)
  - H. Ying . Sufficient conditions on general fuzzy systems as function approximators. Automatica , 3 , 521 - 525
11. 11)
  - K. Tanaka , M. Sugeno . Stability analysis and design of fuzzy control systems. Fuzzy Sets Syst. , 135 - 156
12. 12)
  - C.S. Tseng , B.S. Chen , H.J. Uang . Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model. IEEE Trans. Fuzzy Syst. , 3 , 381 - 392
13. 13)
  - T. Takagi , M. Sugeno . Fuzzy identification of systems and its application to modelling and control. IEEE Trans. Syst. Man Cybern. , 116 - 132
14. 14)
  - J.J. Buckley . Universal fuzzy controllers. Automatica , 1243 - 1248
15. 15)
  - M. Johansson , A. Rantzer , K. Arzen . Piecewise quadratic stability of fuzzy systems. IEEE Trans. Fuzzy Syst. , 713 - 722
16. 16)
  - M. Sugeno , G.T. Kang . Structure identification of fuzzy model. Fuzzy Sets Syst. , 15 - 33
17. 17)
  - S. Boyd , L. El Ghaoui , E. Feron , V. Balakrishnan . (1994) Linear matrix inequalities in systems and control theory.
18. 18)
  - V.I. Utkin . Variable structure systems with sliding modes: a survey. IEEE Trans. Autom. Control , 212 - 222
19. 19)
  - S.G. Cao , N.W. Rees , G. Feng . Analysis and design for a class of complex control systems. Part I: fuzzy modelling and identification. Automatica , 1017 - 1028
20. 20)
  - G. Feng , S.G. Cao , N.W. Rees , C.K. Chak . Design of fuzzy control systems with guaranteed stability. Fuzzy Sets Syst. , 1 - 10
21. 21)
  - M.C.M. Teixeira , S.H. Zak . Stabilizing controller design for uncertain nonlinear systems using fuzzy models. IEEE Trans. Fuzzy Syst. , 133 - 142
22. 22)
  - Langari, R., Tomizuka, M.: `Stability of linguistic control systems', Proc. 29th IEEE CDC, 1990, Honolulu, p. 2185–2190.
23. 23)
  - Z.X. Han , G. Feng , B.L. Walcott , J. Ma . Dynamic output feedback controller design for fuzzy systems. IEEE Trans. Syst. Man Cybern. B, Cybern. , 204 - 210
24. 24)
  - L.A. Zadeh . Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst. Man Cybern. , 28 - 44
25. 25)
  - M. Sugeno , G.T. Nishida . Fuzzy control of model car. Fuzzy Sets Syst. , 103 - 113
26. 26)
  - K. Tanaka , M. Iwasaki , H. Wang . Switching control of an R/C hovercraft: stabilization and smooth switching. IEEE Trans. Syst. Man Cybern. B, Cybern. , 6 , 853 - 863
27. 27)
  - P. Gahinet , A. Nemirovski , A. Laub , M. Chilali . (1995) The LMI Control Toolbox.
28. 28)
  - L.X. Wang , J.M. Mendel . Fuzzy basis functions, universal approximation, and orthogonal least-squares learning. IEEE Trans. Neural Netw. , 5 , 807 - 814
29. 29)
  - A.F. Filippov . (1988) Differential equations with discontinuous righthand sides.
30. 30)
  - X.J. Zeng , M.G. Singh . Approximation theory of fuzzy system – SISO case. IEEE Trans. Fuzzy Syst. , 2 , 162 - 176

Stabilisation of a class of nonlinear continuous time systems by a fuzzy control approach

Stabilisation of a class of nonlinear continuous time systems by a fuzzy control approach

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