Delay-dependent H∞ filter design for linear systems with interval time-varying delay

2007 ◽  
Vol 1 (4) ◽  
pp. 1131-1140 ◽  
Author(s):  
X. Jiang ◽  
Q.-L. Han
Keyword(s):  
Linear Systems ◽  
Filter Design ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

A New Approach on Stability for Linear Systems with Interval Time-Varying Delay

2013 ◽  
Vol 380-384 ◽  
pp. 1774-1777
Author(s):  
He Li ◽  
Zhao Di Xu ◽  
Chang Liu
Keyword(s):  
Linear Systems ◽  
Lyapunov Stability Theory ◽  
Time Varying ◽  
Decomposition Approach ◽  
Interval Time ◽  
Time Varying Delay ◽  
Delay Decomposition Approach ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper addresses the problem of stability for linear systems with interval time-varying delay. By using an optimized delay-decomposition approach and being based on Lyapunov stability theory and reciprocally convex lemma, we can get the delay-dependent stability criterion which can lead to much less conservative stability results compared to other methods for linear systems with time delay. A numerical example is given to show the effectiveness of the proposed criteria.

scholarly journals Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay

2018 ◽  
Vol 2018 ◽  
pp. 1-17
Author(s):  
Zhongda Lu ◽  
Guoliang Zhang ◽  
Yi Sun ◽  
Jie Sun ◽  
Fangming Jin ◽  
...  
Keyword(s):  
Continuous Time ◽  
Filter Design ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Time Varying ◽  
Decoupling Method ◽  
Interval Time ◽  
Time Varying Delay ◽  
Error System ◽  
Delay Dependent

This paper investigates nonfragile H∞ filter design for a class of continuous-time delayed Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Filter parameters occur multiplicative gain variations according to the filter’s implementation, to handle this variations, a nonfragile H∞ filter is presented and a novel filtering error system is established. The nonfragile H∞ filter guarantees the filtering error system to be asymptotically stable and satisfies given H∞ performance index. By constructing a novel Lyapunov-Krasovskii function and using the linear matrix inequality (LMI), delay-dependent conditions are exploited to derive sufficient conditions for nonfragile designing H∞ filter. Using new matrix decoupling method to reduce the computational complexity, the filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method.

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