Static output feedback control for continuous-time T-S fuzzy systems: An LMI approach

This paper presents a design method of static output feedback control for continuous-time T-S fuzzy systems. Based on parallel distributed compensation (PDC), a static output feedback control is utilized. A new sufficient condition for the existence of static output feedback gains is represented in terms of linear matrix inequalities (LMIs). The sufficient condition does not need any transformation matrices, equality constraints, and block diagonal assumption of positive definite matrices in order to convert a bilinear matrix inequality (BMI) problem to an LMI one.

[1]  G. Koo,et al.  Robust fuzzy controller for large-scale nonlinear systems using decentralized static output-feedback , 2011 .

[2]  Chaouki T. Abdallah,et al.  Static output feedback: a survey , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[3]  Chun-Hsiung Fang,et al.  A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems , 2006, IEEE Trans. Fuzzy Syst..

[4]  Ho Jae Lee,et al.  Robust stabilization of T-S fuzzy systems: Fuzzy static output feedback under parametric uncertainty , 2009 .

[5]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[6]  Huai-Ning Wu,et al.  An ILMI approach to robust I static output feedback fuzzy control for uncertain discrete-time nonlinear systems , 2008, Autom..

[7]  Guanrong Chen,et al.  Static output-feedback fuzzy controller for Chen's chaotic system with uncertainties , 2003, Inf. Sci..

[8]  Kazuo Tanaka,et al.  Parallel distributed compensation of nonlinear systems by Takagi-Sugeno fuzzy model , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[9]  Abdel-Latif Elshafei,et al.  LMI static output-feedback design of fuzzy power system stabilizers , 2009, Expert Syst. Appl..

[10]  James Lam,et al.  Static Output Feedback Stabilization: An ILMI Approach , 1998, Autom..

[11]  Alexandre Trofino,et al.  Sufficient LMI conditions for output feedback control problems , 1999, IEEE Trans. Autom. Control..

[12]  Abdellah Benzaouia,et al.  LMI-based approach for output-feedback stabilization for discrete time Takagi-Sugeno systems , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[13]  Ji-Chang Lo,et al.  Robust H/sub /spl infin// nonlinear control via fuzzy static output feedback , 2003 .

[14]  Chun-Hsiung Fang,et al.  Robust H∞ fuzzy static output feedback control of T-S fuzzy systems with parametric uncertainties , 2007, Fuzzy Sets Syst..

[15]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1997, IEEE Trans. Autom. Control..

[16]  Sing Kiong Nguang,et al.  Robust H/sub /spl infin// static output feedback control of fuzzy systems: an ILMI approach , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[17]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[18]  Robert E. Skelton,et al.  Static output feedback controllers: stability and convexity , 1998, IEEE Trans. Autom. Control..

[19]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[20]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .