确定离散系统线性调节器加权矩阵的参数化方法

本文给出了一种确定离散系统线性调节器加权矩阵的新方法。文中推导了加权矩阵与开环特征多项式系数、最优闭环特征多项式系数之间的直接关系。只要给定一组期望的闭环极点,可以很容易地确定与之对应的加权矩阵,并且不必求解复杂的代数Riccati方程也可得到满足期望极点配置要求的状态反馈增益矩阵。

A PARAMETERIZATION METHOD FOR DETERMINING THE WEIGHTING MATRIX OF LINEAR REGULATOR OF DISCRETE SYSTEM

This paper provides a new method for determining the weighting matrix of linear regulator of discrete system.we will derive the direct relationships between the weighting matrix,the coefficients of open-loop characteristic polynomial and the coefficients of optimal closed-loop characteristic polynomial If a group of wanfed closed-loop noles is given, we can easily determine the corresponding weighting matix and obtain the state feedback gain matrix that satisfies the required pole assignment without solving the complicated algebraic Riccati equation.