H∞ output feedback control design for discrete-time fuzzy systems

Optimal Control Applications and Methods

Volumn 30, Issue 4, 2009, Pages 415-437

  Zhang, Jinhui ^a   Xia, Yuanqing ^a   Shi, Peng ^b,c,d   Qiu, Jiqing ^e  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c VICTORIA UNIVERSITY   (Australia)

^d UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

^e HEBEI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Fuzzy observer; H control; Linear matrix inequalities (LMIs); T S fuzzy systems

Indexed keywords

CONTROLLER DESIGNS; DISCRETE-TIME; DISCRETE-TIME FUZZY SYSTEMS; FUZZY CONTROLLERS; FUZZY LYAPUNOV FUNCTIONS; FUZZY OBSERVER; OUTPUT FEEDBACK CONTROLS; QUADRATIC STABILITY; RELAXED CONDITIONS; T-S FUZZY SYSTEMS; TAKAGI SUGENO FUZZY SYSTEMS;

CONTINUOUS TIME SYSTEMS; DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; FEEDBACK CONTROL; FUZZY CONTROL; FUZZY LOGIC; FUZZY SYSTEMS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; OBSERVABILITY; SWITCHING SYSTEMS; SYSTEM STABILITY;

CONTROLLERS;

EID: 67749118006     PISSN: 01432087     EISSN: 10991514     Source Type: Journal    
DOI: 10.1002/oca.871     Document Type: Article

References (26)

1. Takagi T, Sugeno M. Fuzzy identification of systems and its application to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics 1985;15:116-132.
2. Gao H, Chen T. Stabilization of nonlinear systems under variable sampling: a fuzzy control approach. IEEE Transactions on Fuzzy Systems 2007; 15(5) :972-983.
3. Wang Z, Ho DWC, Liu X. A note on the robust stability of uncertain stochastic fuzzy systems with time-delays. IEEE Transactions on Systems, Man, and Cybernetics Part A-Systems and Humans 2004;34:570-576.
4. ∞ fuzzy output feedback control design for nonlinear systems: an LMI approach. IEEE Transactions on Fuzzy Systems 2003; 11(3) :331-340.
5. ∞ control for uncertain discrete-time-delay fuzzy systems via output feedback controllers. IEEE Transactions on Fuzzy Systems 2005; 13(1) :82-93.
6. ∞ control for T-S fuzzy systems with time delay. IEEE Transactions on Fuzzy Systems 2005; 13(4) :544-556.
7. Tong S, Li H. Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties. Fuzzy Sets and Systems 2002;131:165-184.
8. Tanaka K, Sugeno M. Stability analysis and design of fuzzy control system. Fuzzy Sets and Systems 1992; 45(2):135-156.
9. ∞ control theory, and linear matrix inequalities. IEEE Transactions on Fuzzy Systems 1996; 4(1) :1-13.
10. Wang HO, Tanaka K, Griffin MF. An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Transactions on Fuzzy Systems 1996; 4(1) :14-23.
11. Wang M, Chen B, Tong S. Adaptive fuzzy tracking control for strict-feedback nonlinear systems with unknown time delays. International Journal of Innovative Computing, Information and Control 2008; 4(4) :829-838.
12. Tong S, Wang W, Qu L. Decentralized robust control for uncertain T-S fuzzy large-scale systems with time-delay. International Journal of Innovative Computing, Information and Control 2007; 3(3) :657-672.
13. ∞ filtering of convex polyhedral uncertain time-delay fuzzy systems. International Journal of Innovative Computing, Information and Control 2008; 4(4) :793-802.
14. Tong S, Li Y. Direct adaptive fuzzy backstepping control for a class of nonlinear systems. International Journal of Innovative Computing, Information and Control 2007; 3(4) :887-896.
15. Kim E, Lee H. New approaches to relaxed quadratic stability condition of fuzzy control systems. IEEE Transactions on Fuzzy Systems 2000; 8(5) :523-534.
16. ∞ control for fuzzy systems using two-step procedure. IEEE Transactions on Fuzzy Systems 2004; 12(3) :350-359.
17. ∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica 2003; 39(9) :1571-1582.
18. Tanaka K, Hori T, Wang HO. A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Transactions on Fuzzy Systems 2003; 11(4) :582-589.
19. ∞ state-feedback controller design for discrete-time fuzzy systems using fuzzy weightingdependent Lyapunov functions. IEEE Transactions on Fuzzy Systems 2003;11:271-278.
20. Tanaka K, Ohtake H, Wang HO. A descriptor system approach to fuzzy control system design via fuzzy Lyapunov functions. IEEE Transactions on Fuzzy Systems 2007; 15(3) :333-341.
21. ∞ performance conditions. IEEE Transactions on Fuzzy Systems 2007; 15(2) :188-199.
22. Tanaka K, Ikeda T, Wang HO. Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs. IEEE Transactions on Fuzzy Systems 1998; 6(2) :250-265.
23. Cao Y-Y, Frank PM. Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach. IEEE Transactions on Fuzzy Systems 2000; 8(2) :200-211.
24. Ma XJ, Sun ZQ, He YY. Analysis and design of fuzzy controller and fuzzy observer. IEEE Transactions on Fuzzy Systems 1998; 6(1) :41-50.
25. Yoneyama J, Nishikawa M, Katayama H, Ichikawa A. Output stabilization of Takagi-Sugeno fuzzy systems. Fuzzy Sets and Systems 2000;111:253- 266.
26. Guerra TM, Kruszewski A, Vermeiren L, Tirmant H. Conditions of output stabilization for nonlinear models in the Takagi-Sugeno's form. Fuzzy Sets and Systems 2006;157:1248-1259.