鲁棒极点配置的优化算法

An Optimization Algorithm for Robust Pole Assignment

中文关键词  线性系统  鲁棒极点配置  准则函数  特征值

英文关键词  linear systems  robust pole assignment  criterion function  eigenvalues

中文摘要

      本文研究了一类线性多变量系统的鲁棒极点配置问题，提出了一种基于目标函数优化的鲁棒极点配置算法。解决问题的基本思想是，利用极点配置的参数化表示结果，以系统输出的L-范数作为极点配置寻优的准则函数，在这个准则下，通过解优化问题的途径确定极点配置问题中的自由参数，从而达到鲁棒极点配置的目的。

英文摘要

      The problem of robust pole assignment has been studied for a class of linear multivariable systems in the paper, and a robust pole assignment algorithm is proposed based on the objective functional optimization. The main idea of the paper is that the feedback gain matrix can be parametized in terms of a set of free variables, and the variables can be determined by solving the optimization problem under the consideration of L- norm of system output as the objective functional to be minimized. As a result, the robust controller is determined.