离散时滞切换系统的无记忆状态反馈镇定  

Memoryless State Feedback Stabilization for Discrete Switched Systems with Time Delay

作　　者：卢建宁[1] 张彦虎[1] 赵光宙[1] 

机构地区：[1]浙江大学电气工程学院,杭州310027

出　　处：《控制与决策》2006年第8期941-944,952,共5页Control and Decision

摘　　要：针对一类子系统为离散时滞系统的切换系统,研究了稳定性与无记忆状态反馈镇定问题.采用多李雅普诺夫函数法,首先以线性矩阵不等式形式给出了在任意切换信号作用下离散时滞切换系统渐进稳定的一个充分性条件;然后给出了系统无记忆状态反馈镇定的控制器设计方案,并将结果推广到不确定离散时滞切换系统;最后用仿真算例验证了所提出设计方案的可行性.Stability and memoryless state feedback stabilization for discrete switched systems with time delay subsystems are studied. Based on multiple Lyapunov functions theory, a sufficient condition in form of linear matrix inequalities is derived for the asymptotic stability under arbitrary switching laws. Then, a memoryless state feedback stabilization method is established, and the result is extended to uncertain discrete switched systems with time delay. A numerical example illustrates the feasibility of the designed controller.

关 键 词：切换系统 时滞 多李雅普诺夫函数 镇定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]