不确定广义时滞系统的参数依赖指数镇定

Parameter-Dependent Exponential Stabilization of Uncertain Descriptor Time-Delay Systems

摘要:

研究了具有凸多面体不确定广义时滞系统的时滞相关型指数镇定问题。首先,利用Lyapunov稳定性定理和线性矩阵不等式工具,给出了标称的广义时滞系统正则、无脉冲和指数稳定的时滞相关型充分条件。在此基础上,采用参数依赖Lyapunov函数方法,设计了使闭环系统正则、无脉冲和指数稳定的时滞相关型状态反馈控制器,并给出了相应控制器的显式表示。

Abstract:

The delay-dependent exponential stabilization for convex polytopic uncertain descriptor time-delay systems was investigated. Firstly, by means of Lyapunov function and linear matrix inequalities (LMIS) technique, the delay-dependent stability condition was given to ensure that the nominal systems was regular, impulse free, and exponential stable. Based on this condition, the state feedback controller, which guaranteed that the closed-loop systems was regular, impulse free and exponential stable for all admissible uncertainties, was designed with the help of parameter-dependent Lyapunov function method. An explicit expression for the desired controller was also given.