H∞ Control for stochastic stability and disturbance attenuation in a class of networked hybrid systems

2011 ◽  
Vol 5 (15) ◽  
pp. 1698-1708 ◽  
Author(s):  
J. Yao ◽  
F. Lin ◽  
B. Liu
Keyword(s):  
Hybrid Systems ◽  
Stochastic Stability ◽  
Disturbance Attenuation

H∞ Filtering for Markov Jump Systems with Mixed Modes

2013 ◽  
Vol 706-708 ◽  
pp. 585-588
Author(s):  
Shu Lv ◽  
Shou Ming Zhong ◽  
Yu Cai Ding
Keyword(s):  
Stochastic Stability ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Attenuation Level ◽  
Stochastically Stable ◽  
Disturbance Attenuation Level ◽  
System Mode ◽  
Jump Systems

In this study, H_infinity filtering problem for a class of stochastic Markov jump systems is investigated. The system mode is assumed to be different from the delay mode. The aim of this paper is to design a mode-dependent filter such that the filtering error system is stochastically stable and satisfies a prescribed disturbance attenuation level. By using a mode-dependent Lyapunov functional, mixed mode-dependent sufficient condition on stochastic stability is formulated in terms of linear matrix inequalities. Based on the stochastic stability criterion, an H_infinity filter is developed.

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