LMI-based fuzzy controller design with minimum upper bound input energy and state variance constraints for discrete fuzzy stochastic systems

Journal of Intelligent and Fuzzy Systems

Volumn 15, Issue 2, 2004, Pages 115-124

  Chang, Wen Jer ^a   Shing, Chong Cheng ^b  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

^b NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Discrete time takagi sugeno fuzzy models; Linear matrix inequalities; State variance constraints; Upper bound input energy

Indexed keywords

CONSTRAINT THEORY; CONTROL EQUIPMENT; FEEDBACK CONTROL; MATRIX ALGEBRA; NONLINEAR SYSTEMS; STOCHASTIC CONTROL SYSTEMS;

DISCRETE-TIME TAKAGI-SUGENO FUZZY MODELS; LINEAR MATRIX INEQUALITIES (LMI); STATE VARIANCE CONSTRAINTS;

FUZZY CONTROL;

EID: 12944316323     PISSN: 10641246     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. S. Boyd et al., Linear Matrix Inequalities in Systems and Control Theory, Philadelphia, PA: SIAM, 1994.
2. W.J. Chang, A Fuzzy Controller Design via the Inverse Solution of Lyapunov Equations, ASME, J. Dynamic Systems, Measurement and Control 125(1) (2003), 42-47.
3. W.J. Chang and C.C. Shing, Fuzzy-Based Upper Bound Covariance Control for Discrete Nonlinear Perturbed Stochastic Systems, Int. J. of Fuzzy Systems 5(1) (2003), 11-21.
4. W.J. Chang and C.C. Shing, Robust Upper Bound Covariance Control Using Discrete Output Feedback Takagi-Sugeno Fuzzy Controllers, ISA Transactions 43(3) (2004), 377-387.
5. B.S. Chen, C.S. Tseng and H.J. Uang, Robustness Design of Nonlinear Dynamic Systems via Fuzzy Control, IEEE Trans. on Fuzzy Systems, 7(5) (1999), 571-585.
6. ∞ Fuzzy Output Feedback Control Design for Nonlinear Dynamic Systems: an LMI Approach, IEEE Trans. on Fuzzy Systems 8(3) (2000), 249-265.
7. H.Y. Chung and W.J. Chang, Constrained Variance Design for Bilinear Stochastic Continuous Systems, IEE Proceedings, Part D, Control Theory and Applications 138(2) (1991), 145-150.
8. H.Y. Chung and W.J. Chang, Covariance Control with Variance Constraints for Continuous Perturbed Stochastic Systems, Systems & Control Letters 19(5) (1992), 413-417.
9. E.G. Collins, Jr. and R.E. Skelton, A Theory of State Covariance Assignment for Discrete Systems, IEEE Trans. on Automatic Control 32(1) (1987), 35-41.
10. K.M. Grigoriadis and R.E. Skelton, Integrated Structural and Control Design for Vector Second-order Systems via LMIs, Proc. of American Control Conference, Philadelphia, Pennsylvania, 1998.
11. A. Jadbabaie, M. Jamshidi and A. Titli, Guaranteed-Cost Design of Continuous-Time Controller Takagi-Sugeno Fuzzy via Linear Matrix Inequalities, Proc. of 1998 IEEE World Congress on Computational Intelligence, Anchorage, Alaska, 1998.
12. H. Kwakernaak and R. Sivan, Linear Optimal Control Systems, New York, Wiley, 1972.
13. T. Takagi and M. Sugeno, Fuzzy Identification of Systems and Its Applications to Modeling and Control, IEEE Trans. System Man Cyber. 15(1) (1985), 116-132.
14. ∞ Control Theory and Linear Matrix Inequalities, IEEE Trans. on Fuzzy Systems 4(1) (1996), 1-13.
15. K. Tanaka and M. Sano, A Robust Stabilization Problem of Fuzzy Controller Systems and Its Applications to Backing up Control of a Truck-Trailer, IEEE Trans. on Fuzzy Systems 2(2) (1994), 119-134.
16. K. Tanaka and M. Sugeno, Stability Analysis and Design of Fuzzy Control Systems, Fuzzy Set and Systems 45(2), 135-156.
17. K. Tanaka and H.O. Wang, Fuzzy Control System Design and Analysts - A Linear Matrix Inequality Approach, John Wiley & Son, 2001.
18. H.T. Toivonen, Minimum Variance Control of First-Order Systems with a Constraint on the Input Amplitude, IEEE Trans. on Automatic Control 26(2) (1981), 556-558.
19. H.T. Toivonen, Variance Constrained Self-Turning Control, Automatics 19(4) (1983), 415-418.
20. H.O. Wang, K. Tanaka and M.F. Griffin, An Approach to Fuzzy Control of Nonlinear Systems: Stability and Design Issues, IEEE Trans. on Fuzzy Systems 4(1) (1996), 14-23.
21. J.H. Xu and R.E. Skelton, An Improved Covariance Assignment Theory for Discrete Systems, IEEE Trans. on Automatic Control 37(10) (1992), 908-915.