Delay-independent decentralized H_∞ control for multi-channel discrete-time systems with uncertainties  

作　　者：陈宁 桂卫华 陈松乔 

机构地区：[1]School of Information Science and Engineering, Central South University,Changsha 410083, China

出　　处：《Journal of Central South University of Technology》2008年第5期720-725,共6页中南工业大学学报（英文版）

基　　金：Project(60634020) supported by the National Natural Science Foundation of China;Project(07JJ6138) supported by Natural Science Foundation of Hunan Province, China;Project(20060390883) supported by the Postdoctoral Science Foundation of China

摘　　要：A robust decentralized H∞ control problem was considered for uncertain multi-channel discrete-time systems with time-delay. The uncertainties were assumed to be time-invariant, norm-bounded, and exist in the system, the time-delay and the output matrices. Dynamic output feedback was focused on. A sufficient condition for the multi-channel uncertain discrete time-delay system to be robustly stabilizable with a specified disturbance attenuation level was derived based on the theorem of Lyapunov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem was reduced to a linear matrix inequality (LMI) which is sufficient to existence condition but much more tractable. An example was given to show the efficiency of this method.A robust decentralized H∞ control problem was considered for uncertain multi-channel discrete-time systems with time-delay. The uncertainties were assumed to be time-invariant, norm-bounded, and exist in the system, the time-delay and the output matrices. Dynamic output feedback was focused on. A sufficient condition for the multi-channel uncertain discrete time-delay system to be robustly stabilizable with a specified disturbance attenuation level was derived based on the theorem of Lyapunov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem was reduced to a linear matrix inequality （LMI） which is sufficient to existence condition but much more tractable. An example was given to show the efficiency of this method.

关 键 词：multi-channel discrete-time system TIME-DELAY decentralized H∞ control linear matrix inequality（LMI） 

分 类 号：O231[理学—运筹学与控制论]