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本文用 Riccati 代数方程最大解阵的存在性及其性质给出二次型指标中 Q 阵的选择方法。这种方法使闭环系统的极点位于理想的区域,因此能使系统既具有极点配置的特性,又具有最优性,本文给出的方法是递推性的,可归结为易于用计算机求解的一系列线性矩阵代数方程。
In this paper, we use the existence and properties of the maximal matrix of Riccati algebraic equations to give the choice of Q-arrays in quadratic indices. In this method, the poles of the closed-loop system are located in the ideal region, so that the system can have the characteristics of both extreme configuration and optimality. The method given in this paper is recursive and can be attributed to one easy-to-use computer- Series of Linear Matrix Algebraic Equations.