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On the State Observer Based Stabilization of T-S Systems with Maximum Convergence Rate
Salem Abdallah, Zohra Kardous , Benhadj Braiek
Pages - 293 - 305 | Revised - 05-08-2009 | Published - 01-09-2009
Published in International Journal of Engineering (IJE)
MORE INFORMATION
KEYWORDS
Continuous T-S systems, Observer based controller, PDC
ABSTRACT
This paper presents improved relaxed stabilization conditions and design procedures of state observers based controllers for continuous nonlinear systems in T-S model representation. First, the T-S model approach for nonlinear systems and some stabilization results are recalled. New stabilization conditions are obtained by relaxing those derived in previous works in this field. The asymptotic and exponential stabilization are considered with the maximization of the convergence rate. A design procedure for stabilizing T-S observer based controller using the concept of PDC (Parallel Distributed Compensation) and the improved relaxed stabilization conditions is proposed.
1 | Shehu, R. S., Salawu, H., & Kura, A. H. (2014). Examining the Effect of Common Fuzzy Control Law in Linear Matrix Inequality Framework with Eigenvalue Optimization Applied To Power Network Load Frequency Control. International Journal of Engineering And Science (IJES), 3(3), 63-69. |
2 | Hu Jun Da, Yi Yan Jie, & Hu Hui. (2013). Coal mine power switching power supply TS Fuzzy Control Central South University (Natural Science), 5, 030. |
3 | Salem, A., Kardous, Z., Braiek, N. B., & Ragot, J. (2012). On the state observer based stabilization of Takagi-Sugeno systems with immeasurable premise variables. International Journal of Control, Automation and Systems, 10(6), 1153-1163. |
1. N. Benhadj Braiek, F. Rotella. “State observer design for a class of nonlinear system”. Journal of Systems Analysis, Modelling and Simulation (SAMS), 17:265-277, 1995 | |
10. A.Sala, C. Arino. “Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya’s theorem”. Fuzzy Sets and Systems, 158:2671-2686, 2007 | |
11. S.-W. Kau, C.-M. Yang, H.-W. Chen, W.- J. Xie, H.-J. Lee and C.-H Fang. “Stabilization and Observer-Based H? Control for T-S Fuzzy Systems: An Improved LMI Approach”. Proceeding of the European Control Conference Greece, 2007 | |
12. J. Zhang, Y. Xia, P. Shi and J. Qiu. “H? output feedback control design for discrete-time fuzzy systems”. Optimal Control Application and Methods, 2008 | |
13. X. Liu, Q. Zhang. “New approaches to H? controller designs based on fuzzy observers for fuzzy systems via LMI”. Automatica, 39:1571-1582, 2003 | |
14. C. Lin, Q.-G. Wang, T. H. Lee. “Improvement on observer-based H? control for T-S fuzzy systems”. Automatica, 41:1651-1656, 2005 | |
15. X. Ma, Z. Sun, Y. He. “Analysis and design of fuzzy controller and fuzzy observer”. IEEE Trans. Fuzzy Syst., 6:41-51, 1998 | |
16. J. Kim, D. Park. “LMI-based design of stabilizing fuzzy controllers for nonlinear systems described by Takagi-Sugeno model”. Fuzzy Sets Syst., 122:73-82, 2003 | |
17. L. Luoh. “New Stability analysis of fuzzy systems with robust approach”. Math. Comput. Simul., 59:335-340, 2002 | |
18. E. Kim, H. Lee. “New approaches to relaxed quadratic stability condition on fuzzy control systems”. IEEE Transactions on Fuzzy Systems, 8:523-533, 2000 | |
19. M. Chadli, D. Maquin and J. Ragot. “Stabilisation of Takagi-Sugeno models with maximum convergence rate”. Proceeding of the IEEE International Conference on Fuzzy Systems Hungary, 2004 | |
2. K.Tanaka, T. Ikeda, H. O. Wang. “Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs”. IEEE Trans. on Fuzzy Systems, 6:250-265,1998 | |
20. Z. Kardous, N. Benhadj Braiek and A. Elkamel. “On the residue formulation in multimodel control”. Proceeding of the IEEE International Conference on SMC, Tunisia, 2002 | |
21. Z. Kardous, N. Benhadj Braiek, A. Elkamel and P. Borne, “On the quadratic stabilization in discrete multimodel control”. Conference on Control Applications CCA’2003, Istanbul, 2003 | |
22. K. Tanaka, M. Sugeno. “Stability analysis and design of fuzzy control systems”. Fuzzy Sets Systems, 45:136-156, 1992 | |
3. M. Chadli, D. Maquin and J. Ragot. “Observer-based controller for the Takagi-Sugeno models”. In Proceeding of the IEEE International Conference of SMC Tunisia, 2002 | |
4. J. Zhang and M. Fei. “Analysis and design of robust fuzzy controllers and robust fuzzy observers of nonlinear systems”. In Proceeding of the 6th World Compress on Intelligent Control and Automation China, 2006 | |
5. R. Murray-Smith and T. A. Johansen. “Multiple model approaches to modeling and control”, Edition Taylor and Francis, (1997) | |
6. T. Takagi, M. Sugeno. “Fuzzy identification systems and its applications to modeling and control”. IEEE Trans. Syst. Man Cybern., 15:116-132,1985 | |
7. H.O. Wang, K. Tanaka, M. F. Griffin. “An approach to fuzzy control of nonlinear systems: Stability and design issues,” IEEE Trans. Fuzzy Systems, 4:14-23, 1996 | |
8. C.-S. Ting. “Stability analysis and design of Takagi-Sugeno systems”. Information Sciences, 176:2817-2845, 2006 | |
9. Ch-Sh Ting. “An adaptive fuzzy observer-based approach for chaotic synchronization”. International Journal of Approximate Reasoning. 39(1):97-114, 2005 | |
Mr. Salem Abdallah
- Tunisia
saza_tn@yahoo.fr
Mr. Zohra Kardous
- Tunisia
Mr. Benhadj Braiek
- Tunisia
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