Robust fuzzy control of nonlinear singularly perturbed systems with parametric uncertainties

International Journal of Innovative Computing, Information and Control

Volumn 4, Issue 8, 2008, Pages 2079-2086

  Mei, Ping ^a   Cai, Chenxiao ^a   Zou, Yun ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Fuzzy control; Linear matrix inequality (LMI); Parametric uncertainties; Singularly perturbed systems; T S fuzzy model

Indexed keywords

EID: 63649155976     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. R. E. Malley Jr, Singular Perturbation Methods for Ordinary Differential Equations, Spinger-Verlag, New York, 1991.
2. V. Dragan, The linear quadratic optimization problem for a class of singularly perturbed stochastic systems, International Journal of Innovative Computing, Information, and Control, vol.1, no.1, pp.53-63, 2005.
3. Z. Gajic and X. Shen, Parallel Algorithms for Optimal Control of Large-Scale Systems, Spinger-Verlag, London, 1993.
4. L. Huaping, F. Sun, et al., Singularly perturbed control systems: Theory and applications, Control Theory and Applications, vol.20, no.1 pp.1-7, 2003.
5. E. Fridman, Exact slow-fast decomposition of the nonlinear singularly perturbed optimal control problem, Systems and Control Letters, vol.40, pp.121-131, 2000.
6. H. O. Wang, K. Tanaka and M. F. Griffin, An approach to fuzzy control of nonlinear systems: Stability and design issues. IEEE Transaction on Automatic Control, vol.4, no.1, pp.14-23, 1996.
7. A. Sala, T. M. Guerra and R. Babuka, Perspectives of fuzzy systems and control, Fuzzy Sets and Systems, vol.156, pp.432-444, 2005.
8. H. J. Lee, J. B. Park and G. Chen, Robust fuzzy control of nonlinear systems with parametric uncertainties, IEEE Transaction on Fuzzy Systems, vol.9, no.2, pp.369-379, 2001.
9. X. J. Ban, X. Z. Gao, X. Huang and H. Yin, Stability analysis of the simplest Takagi-Sugeno fuzzy control system using Popov criterion, International Journal of Innovative Computing, Information and Control, vol.3, pp. 1087-1096, 2007.
10. G. Calcev, R. Gorez and V. Wertz, Passivity and fuzzy control of singularly perturbed systems, Proc. of the 38th Conference on Decision & Control, Phoenix, Arizona USA, pp.4364-4367, 1999.
11. L. Huaping, F. Sun, et al., Controller design and stability analysis for fuzzy singularly perturbed systems, Acta Automatica Sinica, vol.29, no.4, pp.494-500, 2003.
12. ∞;, control for fuzzy singularly perturbed systems, Fuzzy Sets and Systems, vol.155, pp.272-291, 2005.
13. ∞;, output feedback Control design for singularly perturbed systems: An LMI approach, Proc. of the 42nd IEEE Conference on Decision & Control, Maui, Hawaii USA, pp.863-868, 2003.
14. ∞; fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: An LMI approach, 43rd IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, pp.14-17, 2004.
15. ∞; output feedback control design for uncertain fuzzy singularly perturbed systems: An LMI approach, Automatic, vol.40, pp.2147-2152, 2004.
16. ∞; fuzzy output feedback control design for nonlinear systems: An LMI approach, IEEE Transactions on Fuzzy Control, vol.11, no.3, pp.331-340, 2003.
17. ∞; filtering for fuzzy singularly perturbed systems with pole placement constraints: An LMI approach, IEEE Transactions on Signal Processing, vol.52, no.6, pp.1659-1667, 2004.
18. H.-N. Wu and K.-Y. Cai, Hi guaranteed cost fuzzy control design for discrete-time nonlinear systems with parameter uncertainty, Automatica, vol.42, pp.1183-1188, 2006.
19. D. S. Naidu, Singular perturbations and time scales in control theory and applications: An overview, Dynamics of Continuous, Discrete and Impulsive Systems, vol.9, pp.233-278, 2000.
20. Y. Xia, J. Chen, P. Shi, G. Liu and D. Rees, Guaranteed cost and positive real control of uncertain systems via static output feedback, International Journal of Innovative Computing, Information and Control, vol.4, no.6, pp.1275-1281, 2008.
21. S. C. Tong, S. Tong and Q. Zhang, Robust stabilization of nonlinear time-delay interconnected systems via decentralized fuzzy control, Int. J. Innovative Computing, Information and Control, vol.4, no.7, pp.1567-1582, 2008.