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Robust H_∞ control for uncertain Markovian jump systems with mixed delays

Robust H_∞ control for uncertain Markovian jump systems with mixed delays

作     者:R Saravanakumar M Syed Ali 

作者机构:Department of Mathematics Thiruvalluvar University 

出 版 物:《Chinese Physics B》 (中国物理B(英文版))

年 卷 期:2016年第25卷第7期

页      面:108-113页

核心收录:

学科分类:02[经济学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 070103[理学-概率论与数理统计] 071101[理学-系统理论] 0711[理学-系统科学] 0202[经济学-应用经济学] 020208[经济学-统计学] 0714[理学-统计学(可授理学、经济学学位)] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 

基  金:Project supported by Department of Science and Technology(DST)under research project No.SR/FTP/MS-039/2011 

主  题:linear matrix inequality Lyapunov method Markovian jumping parameters robust H∞ control 

摘      要:We scrutinize the problem of robust H∞control for a class of Markovian jump uncertain systems with interval timevarying and distributed delays. The Markovian jumping parameters are modeled as a continuous-time finite-state Markov chain. The main aim is to design a delay-dependent robust H∞control synthesis which ensures the mean-square asymptotic stability of the equilibrium point. By constructing a suitable Lyapunov–Krasovskii functional(LKF), sufficient conditions for delay-dependent robust H∞control criteria are obtained in terms of linear matrix inequalities(LMIs). The advantage of the proposed method is illustrated by numerical examples. The results are also compared with the existing results to show the less conservativeness.

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