Guaranteed cost control for discrete-time networked control systems with random Markov delays  

作　　者：Li Qiu Bugong Xu Shanbin Li 

机构地区：[1]School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, E R. China [2]College of Mechatroincs and Control Engineering, Shenzhen University, Shenzhen 518060, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2011年第4期661-671,共11页系统工程与电子技术（英文版）

基　　金：supported by the NSFC-Guangdong Joint Foundation Key Project(U0735003);the Overseas Cooperation Foundation(60828006);the Scientific Research Foundation for Returned Overseas Chinese Scholars,State Education Ministry,the Fundamental Research Funds for the Central Universities(2009ZM0076);the Natural Science Foundation of Guangdong Province(06105413)

摘　　要：The guaranteed cost control for a class of uncertain discrete-time networked control systems with random delays is addressed. The sensor-to-controller （S-C） and contraller-to-actuator （C-A） random network-induced delays are modeled as two Markov chains. The focus is on the design of a two-mode-dependent guar- anteed cost controller, which depends on both the current S-C delay and the most recently available C-A delay. The resulting closed-loop systems are special jump linear systems. Sufficient conditions for existence of guaranteed cost controller and an upper bound of cost function are established based on stochastic Lyapunov-Krasovakii functions and linear matrix inequality （LMI） approach. A simulation example illustrates the effectiveness of the proposed method.The guaranteed cost control for a class of uncertain discrete-time networked control systems with random delays is addressed. The sensor-to-controller （S-C） and contraller-to-actuator （C-A） random network-induced delays are modeled as two Markov chains. The focus is on the design of a two-mode-dependent guar- anteed cost controller, which depends on both the current S-C delay and the most recently available C-A delay. The resulting closed-loop systems are special jump linear systems. Sufficient conditions for existence of guaranteed cost controller and an upper bound of cost function are established based on stochastic Lyapunov-Krasovakii functions and linear matrix inequality （LMI） approach. A simulation example illustrates the effectiveness of the proposed method.

关 键 词：networked control systems （NCSs） guaranteed costcontrol random Markov delays linear matrix inequality （LMI）. 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] O211.62[自动化与计算机技术—控制科学与工程]