Stability of cascaded takagi-sugeno fuzzy systems

IEEE International Conference on Fuzzy Systems

Volumn , Issue , 2007, Pages

  Lendek, Zs ^a   Babuska R ^a   De Schutter, B ^a,b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS; CONTROL THEORY; DYNAMICAL SYSTEMS; FEEDBACK CONTROL; FUZZY LOGIC; FUZZY SYSTEMS; HIERARCHICAL SYSTEMS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MATRIX ALGEBRA; MULTI AGENT SYSTEMS; NONLINEAR SYSTEMS; PRODUCTION CONTROL; SCHRODINGER EQUATION; SYSTEM STABILITY;

CASCADED SYSTEMS; DISTRIBUTED PROCESSING; FEASIBILITY PROBLEMS; FUZZY MODELLING; GLOBAL ASYMPTOTIC STABILITY; INTERNATIONAL CONFERENCES; LARGE-SCALE SYSTEMS; LINEAR MATRIX INEQUALITY PROBLEM; LOCAL MODELING; NON-LINEAR DYNAMIC SYSTEMS; SPECIAL CLASS; STABILITY CONDITIONS; T-S FUZZY MODELS; T-S FUZZY SYSTEMS; TAKAGI-SUGENO; TAKAGI-SUGENO FUZZY SYSTEMS;

ASYMPTOTIC STABILITY;

EID: 50249096901     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2007.4295418     Document Type: Conference Paper

References (20)

1. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Transactions on Systems, Man, and Cybernetics, vol. 15, pp. 116-132, 1985.
2. C. Fantuzzi and R. Rovatti, "On the approximation capabilities of the homogeneous takagi-sugeno model," in Fifth IEEE International Conference on Fuzzy Systems (FUZZ-IEEE'96), 1996, pp. 1067-1072.
3. K. Tanaka, T. Ikeda, and H. Wang, "Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs," IEEE Transactions on Fuzzy Systems, vol. 6, pp. 250-265, 1998.
4. M. Johansson, A. Rantzer, and K. Arzen, "Piecewise quadratic stability of fuzzy systems," IEEE Transactions on Fuzzy Systems, vol. 7, pp. 713-722, 1999.
5. P. Bergsten, R. Palm, and D. Driankov, "Fuzzy observers," in The 10th IEEE International Conference on Fuzzy Systems, 2001, vol. 2, 2001, pp. 700-703.
6. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, John Wiley & Sons, Inc., 2001.
7. A. Loria and E. Panteley, Advanced Topics in Control Systems Theory, Springer Berlin / Heidelberg, 2005, ch. Cascaded nonlinear time-varying systems: Analysis and design, pp. 23-64.
8. M. Arcak, D. Angeli, and E. Sontag, "A unifying integral ISS frame-work for stability of nonlinear cascades," SIAM J. Control Optim., vol. 40, pp. 1888-1904, 2002.
9. E. D. Sontag, "Smooth stabilization implies coprime factorization," IEEE Transactions on Automatic Control, vol. 34, pp. 435-443, 1989.
10. P. Seibert and R. Suarez, "Global stabilization of nonlinear cascade systems," Systems and Control Letters, vol. 14, pp. 347-352, 1990.
11. E. Sontag, "Remarks on stabilization and input-to-state stability," in LEEE CDC, 1989, pp, 1376-1378.
12. M. Jankovic, R. Sepulchre, and P. Kokotovic, "Constructive Lyapunov stabilization of nonlinear cascade systems," IEEE Transactions on Automatic Control, vol. 41, pp. 1723-1735, 1996.
13. A. Chaillet and A. Loria, "Necessary and sufficient conditions for uniform semiglobal practical asymptotic stability: Application to cascaded systems," Automatica, vol. 42, pp. 1899-1906, 2006.
14. A. Bacciotti, P. Boieri, and L. Mazzi, "Linear stabilization of nonlinear cascade systems," Math. Control, Signals, Syst., vol. 6, pp. 146-165, 1993.
15. P. Bergsten, "Observers and controllers for Takagi-Sugeno fuzzy systems," Ph.D. dissertation, Orebro University, 2001.
16. A. Rantzer and M. Johansson, "Piecewise linear quadratic optimal control," IEEE Transactions on Automatic Control, vol. 45, pp, 629-637, 2000.
17. M. Johansson and A. Rantzer, "Computation of piecewise quadratic Lyapunov functions for hybrid systems," IEEE Transactions on Automatic Control, vol. 43, pp, 555-559, 1998.
18. M. Johansson, "Piecewise linear control systems," Ph.D. dissertation, Department of Automatic Control, Lund Institute of Technology, 1999.
19. W.-J. Wang and C.-H. Sun, "Relaxed stability and stabilization conditions for a TS fuzzy discrete system," Fuzzy Sets and Systems, vol. 156, pp, 208-225, 2005.
20. J. Löfberg, "YALMIP: a toolbox for modeling and optimization in MATLAB," in Proceedings of the CACSD Conference, Taipei, Taiwan, 2004. [Online], Available: http://control.ee.ethz.ch/joloef/yalmip.php