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Robust H∞ DOF Control for Uncertain T-S Fuzzy Neutral Systems

Wenpin Luo, Jun Yang*, Li Xiang, and Shouming Zhong
International Journal of Control, Automation, and Systems, vol. 9, no. 3, pp.525-533, 2011

Abstract : This paper investigates the problem of robust H∞ dynamic output-feedback (DOF) control for a class of uncertain T-S fuzzy neutral systems with linear fractional parametric uncertainties. The aim is to design a full-order fuzzy DOF controller that ensures asymptotic stability of the closed-loop system and guarantees a prescribed H∞ performance level on disturbance attenuation for all admissible uncertainties. Based on the Lyapunov-Krasoviskii functional and the Barbalat lemma, delay-dependent sufficient conditions for the solvability of this problem are presented in terms of LMIs. Finally, a simulation example is provided to demonstrate the effectiveness and applicability of the proposed method.

Keyword : Dynamic output-feedback (DOF) control, neutral systems, linear matrix inequalities (LMIs), Lyapunov-Krasovskii functional (LKF), Takagi-Sugeno (T-S) fuzzy systems.

 
 
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