A fuzzy Lyapunov function approach to stabilization of interval type-2 T-S fuzzy systems

2013 25th Chinese Control and Decision Conference, CCDC 2013

Volumn , Issue , 2013, Pages 2234-2238

  Zhao, Tao ^a   Xiao, Jian ^a   Li, Ye ^a   Li, Yi Xing ^a  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

fuzzy Lyapunov function; interval type 2 T S fuzzy systems; linear matrix inequalities; stability analysis

Indexed keywords

CLOSED LOOPS; FUZZY LYAPUNOV FUNCTIONS; INTERVAL TYPE-2 T-S FUZZY; STABILITY ANALYSIS; STABILITY CONDITION;

FUZZY SYSTEMS; LINEAR MATRIX INEQUALITIES;

LYAPUNOV FUNCTIONS;

EID: 84882795897     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCDC.2013.6561307     Document Type: Conference Paper

References (13)

1. M. C. M. Teixeira, E. Assuncao and R. Gvellar, "On relaxed LMI-based designs for fuzzy regulators and fuzzy observers", IEEE Transactions on Fuzzy Systems, vol. 11, no. 5, 2003, pp. 613-623.
2. X. D. Liu and Q. L. Zhang, "New approaches to H& controller designs based on fuzzy observers for T-S fuzzy systems via LMI", Automatica, vol. 39, no. 9, 2003, pp. 1571-1582.
3. C. H. Fang, Y. S. Liu, S. W. Kau, L. Hong and C. H. Lee, "A new LMI-based approach to relaxed quadratic stabilization of Takagi-Sugeno fuzzy control systems", IEEE Transactions on Fuzzy Systems, vol. 14, no. 3, 2006, pp. 386-397.
4. A. Sala and C. Arino, "Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polys theorem", Fuzzy Sets and Systems, vol. 158, no. 24, 2007, pp. 2671-2686.
5. ∞ control of Takagi-Sugeno fuzzy systems", IEEE Transactions on Fuzzy Systems, vol. 17, no. 4, 2009, pp. 863-873.
6. H. G. Zhang and X. P. Xie, "Relaxed Stability Conditions for Continuous-Time T-S Fuzzy-Control Systems Via Augmented Multi-Indexed Matrix Approach", IEEE Transactions on Fuzzy Systems, vol. 19, no. 3, 2011, pp. 478-492.
7. K. Tanaka and T. Hori, H. O. Wang, "A multiple Lyapunov function approach to stabilization of fuzzy control systems", IEEE Transactions on Fuzzy Systems, vol. 11, no. 4, 2003, pp. 582-589.
8. K. Tanaka, T. Hori and H. O. Wang, "A descriptor system approach to fuzzy control system design via fuzzy Lyapunov functions", IEEE Transactions on Fuzzy Systems, vol. 15, no. 3, 2007, pp. 333-341.
9. L. A. Mozelli, R. M. Palhares, F. O. Souza and E. M. A. M. Mendes, "Reducing conservativeness in recent stability conditions of T-S fuzzy systems", Automatica, vol. 45, no. 6, 2009, pp. 1580-1583.
10. D. H. Lee, J. B. Park and Y. H. Joo, "A New Fuzzy Lyapunov Function for Relaxed Stability Condition of Continuous-Time Takagi-Sugeno Fuzzy Systems", IEEE Transactions on Fuzzy Systems, vol. 19, no. 4, 2011, pp. 785-791.
11. H. K. Lam, "Stability analysis of TCS fuzzy control systems using parameter-dependent Lyapunov function", IET Control Theory & Applications, vol. 3, no. 6, 2009, pp. 750-762.
12. H. K. Lam and L. D. Seneviratne, 'Stability Analysis of Interval Type-2 Fuzzy-Model-Based Control Systems", IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics, vol. 38, no. 3, 2008, pp. 617-628.
13. Leonardo A. Mozelli, Reinaldo M. Palhares and Gustavo S. C. Avellar, "A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems", Information Sciences, vol. 179, 2009, pp. 1149-1162.