摘要
给定一线性连续或离散时间系统以及与其对应的二次型性能指标函数,文中证明了在系统的开、闭环特征多项式,系统的系数矩阵以及二次型性能指标函数中的加权矩阵之间存在一组确定的显式关系.根据这组关系,满足期望闭环特征值要求的加权矩阵的确定问题变为求解一组具有二次变量的非线性方程组.对于高阶系统,用数值方法求解该方程组也是十分方便的.
Give a Linear time invariant discrete-time or continuous-time system and a corresponding quadratic
cost function,relations are to be determined among the open-loop and the closed-loop characteristic
polynomials,the coefficient matrices of the control system and the weighting matrices in the cost function.
As a result,the determination of the weighting matrices only requires to solve a set of nonlinear equation
sets with quadratic variables,which can be solved without much difficulty.
出处
《信息与控制》
CSCD
北大核心
1989年第6期5-9,共5页
Information and Control
关键词
加权矩阵
指标函数
闭环特征值
weighting matrices
cost function
closed-loop eigenvalue
