积分二次约束线性系统的H_∞控制器设计:一种LMI方法

H_∞ controller design for linear systems with integral quadratic constraints: an LMI approach

基于动态耗散理论 ,给出了具有积分二次约束线性系统稳定和具有L2 有限增益的充分条件 .导出了积分二次约束线性系统H∞ 状态反馈和动态输出反馈降阶控制器的设计方法 ,并转化为多个线性矩阵不等式 ,利用LMI工具箱求解 .

Based on dissipativity theory, sufficient conditions for stability and bounded_ L 2 gain of linear systems with integral quadratic constraints were presented. The design methods of static state feedback controller and dynamic reduced_order output feedback controller for linear systems with integral quadratic constraints were derived. All the problems were converted to linear matrix inequalities that can be solved by the LMI toolbox in Matlab.