Delay-dependent H∞filtering for singular Markov jump systems with Wiener process and generally uncertain transition rates

2018 ◽  
Vol 49 (8) ◽  
pp. 1685-1702 ◽  
Author(s):  
Shuangyun Xing ◽  
Feiqi Deng ◽  
Ting Hou
Keyword(s):  
Wiener Process ◽  
Transition Rates ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Generally Uncertain Transition Rates ◽  
Delay Dependent ◽  
Jump Systems

scholarly journals H∞Filtering for Discrete Markov Jump Singular Systems with Mode-Dependent Time Delay Based on T-S Fuzzy Model

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Cheng Gong ◽  
Yi Zeng
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Singular Systems ◽  
Fuzzy Model ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Delay Dependent ◽  
Jump Systems

This paper investigates theH∞filtering problem of discrete singular Markov jump systems (SMJSs) with mode-dependent time delay based on T-S fuzzy model. First, by Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition onH∞-disturbance attenuation is presented, in which both stability and prescribedH∞performance are required to be achieved for the filtering-error systems. Then, based on the condition, the delay-dependentH∞filter design scheme for SMJSs with mode-dependent time delay based on T-S fuzzy model is developed in term of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.

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