设计多变量鲁棒控制系统的正规矩阵方法

THE NORMAL MATRIX APPROACH TO THE DESIGN OF MULTIVARIABLE ROBUST SYSTEM

本文研究了设计多变量鲁棒控制系统的正规矩阵方法，证明了正规传递函数矩阵是Ｈ∞范数最优的一个充分条件，从而表明，正规矩阵方法可以达到与Ｈ∞方法同样好的鲁棒性．在此基础上，提出一种正规矩阵参数优化设计方法，该方法既保证了系统的鲁棒性又可兼顾系统的动静态性能，同时所得到的控制器比较简单．

This paper systematically studies the Normal Matrix Approach to the design of multivariable robust control systems.It can be proved theoretically that the normal transfer-function matrix is a sufficient condition that optimizes the H∞ norm.So that,the Normal Matrix Approach can achieve the same good robustness as the H∞approach. Moreover,on the basis of normal matrix theory,a design method called Optimization of Parametrized Normal Matrix is proposed.This method is able to give comprehensive consideration to the robustness,dynamic and static performance,and obtain a simple controller.