时滞相关型离散时变时滞奇异系统的鲁棒镇定  

Delay-dependent Robust Stabilization for Discrete-time Singular Systems with Time-varying Delays

作　　者：马树萍[1] 程兆林[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《控制与决策》2006年第5期536-540,共5页Control and Decision

基　　金：国家自然科学基金项目(10371067);山东大学青年基金项目(11140053187004)

摘　　要：讨论含参数不确定的离散时变时滞奇异系统的时滞相关的鲁棒状态反馈稳定化问题.在一系列等价变换下,阐述了其和一个不确定正常线性离散时变时滞系统的鲁棒状态反馈稳定化问题的等价关系;利用矩阵不等式方法,给出一个对所有容许的不确定,使得闭环系统正则、因果且稳定的时滞相关鲁棒状态反馈稳定化控制器存在的充分条件以及无记忆状态反馈控制器的一个解.The robust stabilization via state feedback for time-varying delays discrete-time singular systems with parameter uncertainties is discussed. Under a series of equivalent transformation, the equivalence between this problem and the robust stabilization via state feedback for uncertain standard state-space discrete-time linear systems with time-varying delays is obtained. In terms of matrix inequality, the delay-dependent sufficient condition is presented so that there exists a robust state feedback stabilizing controller making the closed-loop system is regular, causal and stable for all admissible uncertainties. The memoryless state feedback controller is given.

关 键 词：离散奇异系统 时变时滞 时滞相关 不确定性 鲁棒稳定化 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]