基于LMI的多目标特征结构配置方法及应用

提出了将线性矩阵不等式（LMI）技术用于多目标特征结构配置的控制器设计方法。由于利用状态反馈或输出反馈进行特征结构配置时存在一些设计裕度,这些裕度可以用来满足附加的性能指标要求。本文利用LMI技术实现了降低系统参数对摄动的灵敏度同时改善系统的鲁棒稳定性的特征结构配置，为特征结构配置方法的实现提供了一条新的途径。设计实例的仿真结果表明了该方法的有效性。

Multi-Objective Controller Design Using Eigenstructure Assignment Based on LMI

A new method of applying linear matrix inequalities (LMIs) to multi-objective eigenstructure assignment is put forward. Since there is always a degree of freedom in eigenstructure assignment using state or output feedback, it is available to use this kind of freedom in designing a system to satisfy some additional specializations. With the help of LMI technology, a controller insensitive to perturbation and good in robust stability is realized. And the result of a practical example shows that the method is very useful in flight controller design.