New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Descriptor Systems
Mao Wang, Jia Shi,Kan Liu
(Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, China)
Abstract:
The problems of stability and state feedback control for a class of discrete-time T-S fuzzy descriptor systems are investigated in this paper. Based on fuzzy Lyapunov function, a set of slack variables is introduced to remove the basic semi-definite matrix inequality condition to check the regularity, causality and stability of discrete-time T-S fuzzy descriptor systems; a new sufficient condition for the discrete-time T-S fuzzy descriptor systems to be admissible is proposed in terms of strict linear matrix inequalities (LMIs). And a sufficient condition is proposed for the existence of state feedback controller in terms of a set of coupled strict LMIs. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed approach.
Key words: T-S fuzzy descriptor systems parameter uncertainties stability state feedback control linear matrix inequality (LMI)
DOI：10.11916/j.issn.1005-9113.2015.05.009
Clc Number:TP273
Fund:
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New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Descriptor Systems
本站小编 哈尔滨工业大学/2019-10-23
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