H_2/H_∞鲁棒控制器设计的线性矩阵不等式方法

LMI Approach to H_2/H_∞ Robust Controller Design

对于一类同时具有H2和H∞性能指标约束的线性系统,基于线性矩阵不等式处理方法(LMI),设计了系统的状态反馈控制器。通过LMI工具箱提供的求解器,可以方便、有效地得到所求控制器的参数化表示。仿真结果表明了混合H2/H∞控制对干扰抑制的有效性。

A class of linear system with H2 and H∞ quality constrained is considered, which is based on the linear matrix inequality（LMI） approach. The state feedback controller of the system is devised, A parameterized charactorization of the controller is provided conveniently and effectively by relevant function in Matlab toolbox. A simula- tion example demonstrates that mixed H2/H∞ control is effective to the disturbance attenuatlon.