Improved stabilization conditions for T-S fuzzy systems with interval time-varying delay

This paper is concerned with the stabilization problem for T-S fuzzy system with interval time-varying delay. By constructing a novel augmented LKF and using a developed reciprocally convex matrix inequality proposed in this paper to bound the derivative of the LKF, a delay-dependent stabilization c...

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Bibliographic Details
Main Authors: Lian Zhi, He Yong, Chuanke, Zhang, Wu Min
Format: Conference Proceeding
Language:English
Subjects:
Delay-dependent
Delays
Fuzzy systems
Linear matrix inequalities
Numerical stability
Reciprocally convex matrix inequality
Stability analysis
Stabilization
Symmetric matrices
Time-varying systems
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Summary:This paper is concerned with the stabilization problem for T-S fuzzy system with interval time-varying delay. By constructing a novel augmented LKF and using a developed reciprocally convex matrix inequality proposed in this paper to bound the derivative of the LKF, a delay-dependent stabilization condition based on parallel distributed compensation scheme is worked out for the closed-loop fuzzy system. Two numerical examples and an application to control of a truck-trailer are given to illustrate the effectiveness of our method.
ISSN:2161-2927
DOI:10.23919/ChiCC.2017.8027372