Improved delay-dependent robust stabilization conditions of uncertain T--S fuzzy systems with time-varying delay

Authors:
Chen Peng;Yu-Chu Tian;Engang Tian
Affiliations:
School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, Jiangsu 210042, PR China and Faculty of Information Technology, Queensland University of Technology, Brisbane, ...;Faculty of Information Technology, Queensland University of Technology, Brisbane, QLD. 4001, Australia;Department of Electrical Automation, Donghua University, 1882 Yan An West Road, Shanghai 200051, PR China
Venue:
Fuzzy Sets and Systems
Year:
2008

Citing 13
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Abstract

This paper aims to develop simplified yet improved delay-dependent robust control for uncertain T-S fuzzy systems with time-varying delay. This is achieved through constructing new Lyapunov-Krasovskii functionals and improving Jensen's inequality. Unlike existing work in this area, the approach developed in this paper employs neither free-weighing matrices nor model transformations. As a result, simplified yet improved stability conditions are obtained for T-S fuzzy systems with norm-bounded-type uncertainties. For controller synthesis of the fuzzy systems, the stabilization problem with memoryless state feedback control is solved via utilizing a cone complementarity minimization algorithm. Numerical examples are given to demonstrate the effectiveness of the proposed approach.