不确定离散多时滞系统的时滞相关鲁棒镇定

研究了多面体不确定离散多重时滞系统的稳定性分析和镇定问题.通过定义新的 Lyapunov函数,提出了一个时滞相关稳定判据.并将de Oliveira的参数依赖思想引入该判据． 得到了适用于多面体不确定系统的参数依赖型时滞相关稳定条件.在此基础上,研究了鲁棒镇 定状态反馈控制器的设计方法．采用El Ghaoui提出的锥补线性化思想将控制器的设计转化为 一个受线性矩阵不等式约束的非线性规划问题.

Delay-Dependent Robost Stabilization for Uncertain Discrete-Time Systems with Multiple State Delays

This paper is concerned with the problems of stability analysis and stabilization for discrete-time systems with multiple state delays and polytopic parameter uncertainties. A delay-dependent stability is first propesed by defining a new Lyapunov function. This criterion is further improved by introducing de Oliveira's parameter-dependent stability idea, which is less conservative than previous results for polytopic uncertain systems. The problem of state-feedback control is then investigated upon the proposed stability condition, where the complementary linearization idea proposed by El Ghaoui is employed to convert the controller design into a nonlinear programming problem with linear matrix inequality constraints.