Delay-dependent robust control for singular discrete-time Markovian jump systems with time-varying delay

2009 ◽  
Vol 20 (10) ◽  
pp. 1112-1128 ◽  
Author(s):  
Wuneng Zhou ◽  
Hongqian Lu ◽  
Chunmei Duan ◽  
Minghao Li
Keyword(s):  
Robust Control ◽  
Discrete Time ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Jump Systems ◽  
Varying Delay

scholarly journals Delay-DependentH∞Control for Descriptor Markovian Jump Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-16
Author(s):  
Jinghao Li ◽  
Qingling Zhang ◽  
Ding Zhai ◽  
Yi Zhang
Keyword(s):  
Convex Combination ◽  
Markovian Jump Systems ◽  
Delay Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
Bounded Real Lemma ◽  
Delay Dependent ◽  
Jump Systems ◽  
Varying Delay

This paper is concerned with the delay-dependentH∞control problem for continuous-time descriptor Markovian jump systems with time-varying delay. By constructing various Lyapunov-Krasovskii functionals for different subsystems, together with delay decomposition method, a new delay-dependent bounded real lemma (BRL) is derived, under which descriptor Markovian jump time-delay systems are regular, impulse-free, and stochastically stable and satisfy a prescribedH∞performance level. Since the reciprocally convex combination approach is adopted to estimate the upper bound of the integral terms, the BRL obtained in this paper is less conservative than some existing ones. Based on the proposed BRL, a sufficient condition for the existence of state feedback controller is provided. Finally, three numerical examples are provided to demonstrate the validity of the proposed methods.

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