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

来源期刊：中南大学学报(英文版)2008年第5期

论文作者：陈宁 桂卫华 陈松乔

文章页码：720 - 720

Key words：multi-channel discrete-time system; time-delay; decentralized H_∞ control; linear matrix inequality(LMI)

Abstract: 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.

基金信息：the National Natural Science Foundation of China
Natural Science Foundation of Hunan Province, Chin
the Postdoctoral Science Foundation of China