Sampled-data H∞ filtering for Markovian jump singularly perturbed systems with time-varying delay and missing measurements

2017 ◽  
Vol 49 (3) ◽  
pp. 464-478 ◽  
Author(s):  
Yifang Yan ◽  
Chunyu Yang ◽  
Xiaoping Ma ◽  
Linna Zhou
Keyword(s):  
Singularly Perturbed ◽  
Time Varying ◽  
Sampled Data ◽  
Singularly Perturbed Systems ◽  
Markovian Jump ◽  
Missing Measurements ◽  
Time Varying Delay ◽  
Perturbed Systems ◽  
Varying Delay

scholarly journals Stability Bound Analysis and Synthesis for Singularly Perturbed Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Fengqi Sun ◽  
Linna Zhou ◽  
Qingling Zhang ◽  
Yongxiang Shen
Keyword(s):  
Computational Cost ◽  
Singularly Perturbed ◽  
Time Varying ◽  
Singularly Perturbed Systems ◽  
Time Varying Delay ◽  
Stability Bound ◽  
Perturbed Systems ◽  
Analysis And Synthesis ◽  
Varying Delay ◽  
Bound Analysis

This paper addresses the problems of stability bound analysis and synthesis for singularly perturbed systems with time-varying delay. First, by constructing an appropriate Lyapunov-Krasovskii functional, a sufficient condition is derived for the system to be stable when the singular perturbation parameter is lower than a predefined upper bound which is referred to as the stability bound of the singularly perturbed system. The proposed criterion needs less computational cost than the existing ones. Then, a state feedback controller design method is proposed to achieve a prescribed stability bound, which can be applied to both standard and nonstandard singularly perturbed systems with time-varying delay. Finally, the effectiveness and merits of the proposed approach are shown through numerical examples.

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