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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Mao Wang,Jia Shi,Kan Liu.New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Descriptor Systems[J].Journal of Harbin Institute Of Technology(New Series),2015,22(5):55-60.DOI:10.11916/j.issn.1005-9113.2015.05.009.
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New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Descriptor Systems
Author NameAffiliation
Mao Wang Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, China 
Jia Shi Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, China 
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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