Model-based fuzzy control of TORA system: Fuzzy regulator and fuzzy observer design via LMIs that represent decay rate, disturbance rejection, robustness, optimality

1998 IEEE International Conference on Fuzzy Systems Proceedings - IEEE World Congress on Computational Intelligence

Volumn 1, Issue , 1998, Pages 313-318

  Tanaka, Kazuo ^a   Taniguchi, Tadanari ^a   Wang, Hua O ^b  

^a KANAZAWA UNIVERSITY   (Japan)

^b DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; COMPUTER SIMULATION; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; FUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; OSCILLATIONS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

LINEAR MATRIX INEQUALITIES (LMI); MODEL-BASED FUZZY CONTROL; QUADRATIC PERFORMANCE FUNCTIONS;

FUZZY CONTROL;

EID: 0031643283     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.1998.687504     Document Type: Conference Paper

References (20)

1. R. T. Bupp, D. S. Bernstein and V. T. Coppola, "A benchmark problem for nonlinear control design: problem statement, experiment testbed and passive nonlinear compensation, " Proc. 1995 American Control Conference, Seattle, pp. 4363-4367, (1995).
2. Session on Benchmark Problem for Nonlinear Control Design, Proc. 1995 American Control Conference, Seattle, pp. 4337-4367, (1995).
3. M. Jankovic, D. Fontaine, P. Kokotovic, "TORA Example: Cascade and Passivity Control Design, " Proc. 1995 American Control Conference, Seattle, pp. 4347¬4351, 1995.
4. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems, " Fuzzy Sets and Systems, Vol. 45, no. 2, pp. 135-156 (1992).
5. H. Wang, K. Tanaka and M. Griffin, "Parallel Distributed Compensation of Nonlinear Systems by Takagi and Sugeno's Fuzzy Model.", Proceeding of FUZZ-IEEE '95, pp.531-538 (1995).
6. K. Tanaka, T. Ikeda and H. Wang, "Robust Stabilization of a Class of Uncertain Nonlinear System via Fuzzy Control, IEEE Transactions on Fuzzy Systems, Vol.4, No1, pp.1-13 (1996).
7. H. Wang, K. Tanaka and M. Griffin, "An Approach to Fuzzy Control of Nonlinear Systems : Stability and Design Issues", IEEE Transactions on Fuzzy Systems, Vol.4, No.1 pp. 14-23 (1996).
8. K. Tanaka et al, "Fuzzy Control System Designs via LMIs", Proc. of 1997 American Control Conference.
9. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control, " IEEE Trans. Syst., Man, and Cyber., vol 15, pp. 116¬132, (1985).
10. K. Tanaka and Y. Yamaichi, "Model-based Fuzzy Control Approach to a Nonlinear Control Benchmark Problem", 40th Joint Automatic Control Conference, pp.405-506 (1997).
11. S. Boyd et al., "Linear Matrix Inequalities in Systems and Control Theory", SIAM, Philadelphia, (1994).
12. S. Kawamoto et al., "An Approach to Stability Analysis of Second Order Fuzzy Systems, Proceedings of First IEEE International Conference on Fuzzy Systems, vol. 1 pp. 1427-1434 (1992).
13. K.Tanaka, T. Ikeda and H. O. Wang, Design of Fuzzy Control Systems Based on Relaxed LMI Stability Conditions, in Proceedings of 35th IEEE Conference on Decision and Control, pp.598-603 (1996).
14. K. Tanaka, T. Ikeda and H. O. Wang, "A Unified Approach to Controlling Chaos via an LMI-based Fuzzy Control System Design", IEEE Transactions on Circuits & Systems-1, (to appear).
15. K. Tanaka, T. Taniguchi and H. O. Wang, "A Mixed Control Problem of Robust Fuzzy Control and Optimal Fuzzy Control and Its Solution via Linear Matrix Inequalities", IEEE Transactions on Fuzzy Systems (submitted).
16. J. Li, H. O. Wang and K. Tanaka, "Stable Fuzzy Control of the Benchmark Nonlinear Control Problem: A System-Theoretic Approach", Third Joint Conference of Information Sciences, Durham, Vol.1, pp.263-266 (1997).
17. K. Tanaka and M. Nishimura, "Multi-objective Fuzzy Control of High Rise/High Speed Elevators using LMIs", 1998 American Control Conference (to appear).
18. K. Tanaka, T. Ikeda and H. O. Wang, "Fuzzy Regulators and Fuzzy Observers: Relaxed Stability Conditions and LMI based Designs", IEEE Transactions on Fuzzy Systems (to appear).
19. K. Tanaka, T. Ikeda and H. O. Wang, "Fuzzy Regulators and Fuzzy Observers: A Linear Matrix Inequality Approach", 36th IEEE Conference on Decision and Control (1997).
20. J. Zhao et al, "Synthesis of Fuzzy Control System with Desired Performances", Proc. of 1996 IEEE International Symposium on Intelligent Control, pp.115-120 (1996).