多输入线性系统极点配置问题的算法研究

A Study on the Algorithm of the Pole Placement Based for Multi-input(MI)Linear System

极点配置是通过一个状态反馈矩阵的选取,使闭环系统的极点配置在希望的位置,从而使系统具有较满意的性能。对于多输入线性系统,状态反馈矩阵K的解不唯一,目前常用的设计方法都没有解决K的优化设计问题。将遗传算法引入基于Sylvester方程的算法中,优化反馈矩阵,仿真结果表明,该算法求出的反馈矩阵K优于其他各种方法。

The pole placement is the technique that configures the system＇s poles to the expected position by choosing a state feedback matrix so that the dynamic performance of the system is up to the expectation in such a way. The state feedback matrix K is not unique for MI system. At present, the common design methods can＇t solve the problem of optimized design of K. This paper introduces the genetic algorithm into the algorithm based on Sylvester equation, which can optimize the feedback matrix, and the result of which shows that the feedback matrix K is better than that of other methods.