H_2 /H_∞ control of networked control system with random time delays  被引量:5

H_2 /H_∞ control of networked control system with random time delays

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作  者:QIU Li XU BuGong LI ShanBin 

机构地区:[1]College of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China [2]College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China

出  处:《Science China(Information Sciences)》2011年第12期2615-2630,共16页中国科学(信息科学)(英文版)

基  金:supported by NSFC-Guangdong Joint Foundation Key Project(Grant No.U0735003);the National Natural Science Foundation of China(Grant Nos.61174070,61104107);Overseas Cooperation Foundation(Grant No.60828006);Scientific Research Foundation for Returned Scholars the Ministry of Education of China;Fundamental Research Funds for the Central Universities(Grant No.2009ZM0076);the Project-sponsored by SRF for ROCS,SEM(Grant No.20100172120028);partly by Guangdong Nature Science Foundation(GrantNo.06105413)

摘  要:This paper investigates the H 2 /H ∞ control problem for a class of discrete-time networked control systems with random communication time delays. Both sensor-to-controller (S-C) and controller-to-actuator (C-A) random network-induced delays are considered. Two independent Markov chains are used to model the S-C and C-A random delays. The resulting closed-loop system is a jump linear time-delay system induced by two Markov chains. Sufficient conditions for existence of H 2 /H ∞ controller are established by free-weighting matrix and stochastic Lyapunov functions. A simulation example illustrates the effectiveness of the proposed method.This paper investigates the H 2 /H ∞ control problem for a class of discrete-time networked control systems with random communication time delays. Both sensor-to-controller (S-C) and controller-to-actuator (C-A) random network-induced delays are considered. Two independent Markov chains are used to model the S-C and C-A random delays. The resulting closed-loop system is a jump linear time-delay system induced by two Markov chains. Sufficient conditions for existence of H 2 /H ∞ controller are established by free-weighting matrix and stochastic Lyapunov functions. A simulation example illustrates the effectiveness of the proposed method.

关 键 词:H 2 /H  control networked control systems Markov chains random time delays 

分 类 号:TP273[自动化与计算机技术—检测技术与自动化装置] O157.5[自动化与计算机技术—控制科学与工程]

 

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