Controllability and observability of networked control systems with time-varying delays  

作　　者：Li Jinna Zhang Qingling Li Yuan 

机构地区：[1]Inst. of Systems Science, Northeastern Univ., Shenyang 110004, P. R. China [2]Dept. of Mathematics and Physics, Shenyang Inst. of Chemical Technology, Shenyang 110142, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2009年第4期800-806,共7页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(60574011).

摘　　要：The controllability and observability of networked control systems are studied. Aiming at the networked control system with time-varying delay, the sufficient and necessary conditions for complete controllability and complete observability of the system are presented, respectively. Because of Markov characteristic of the network-induced delay, in terms of stochastic theory, a sufficient and necessary condition for completely mean value controllability of networked control systems is obtained. Further, the conditions that the controllability and observability of networked control systems are equivalent to the initial time-invariant system are given. Controllability and observability realization indexes are also discussed, respectively. The numerical example demonstrates the effectiveness of the proposed theory.The controllability and observability of networked control systems are studied. Aiming at the networked control system with time-varying delay, the sufficient and necessary conditions for complete controllability and complete observability of the system are presented, respectively. Because of Markov characteristic of the network-induced delay, in terms of stochastic theory, a sufficient and necessary condition for completely mean value controllability of networked control systems is obtained. Further, the conditions that the controllability and observability of networked control systems are equivalent to the initial time-invariant system are given. Controllability and observability realization indexes are also discussed, respectively. The numerical example demonstrates the effectiveness of the proposed theory.

关 键 词：networked control system CONTROLLABILITY OBSERVABILITY controllability realization index observability realization index. 

分 类 号：O231[理学—运筹学与控制论] N94[理学—数学]