多状态时变时滞范数有界的不确定广义系统的鲁棒H_∞控制器设计

摘要

针对一类多状态时变时滞的不确定广义系统,采用求解LMI的方法,给出闭环系统二次稳定的一个充分条件。使用LMI方法研究了该系统H∞状态反馈控制器的分析与设计,给出系统无记忆二次能镇定且具有H∞性能的一个LMI条件,并通过对受条件约束的线性矩阵不等式的描述,给出系统存在γ-次优状态反馈控制律的设计方法。%Aiming at resolving relevant problems occurring in a classification of uncertain singular systems with multiple-states time-varying delays,a sufficient condition for the closed-loop system that is quadratically stable is presented by solving the linear matrix inequality.In addition,a condition for the given systems with memoryless quadratical stabilization and H∞ properties is presented in terms of a certain linear matrix inequality,and the designing method of the Robust H∞ controllers is obtained by solving the LMI.