设计多变量鲁棒控制系统的正规矩阵方法

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.

The Normal Matrix Approach to the Design of Multivariable Robust System

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.