线性多变量系统利用状态反馈配置极点的一种新算法

本文给出了状态反馈配置极点的一种新算法,它借助于可控系统的可控性标准形[A_(co),B_(co)]作为中间步骤,并利用[A_(co),B_(co)]和控制器形[A_c,B_c]间的简单变换关系,方便地得到[A_c,B_c],避免了通常直接求取[A_c,B_c]时所遇到的繁琐计算。文中采用分块配置极点的方法,使状态反馈K阵的增益较小,可供选择的方案多。另外,适当选取K中可自由选择的元素,可满足系统其它性能指标。按此方法设计的一类系统,当反馈失效时,系统的稳定性不变,可靠性高。

A New Pole-assignment Algorithm in Linear Multivariable Control System Design

This paper presents a new pole-assignment algorithm by using state feedback. The controllability canonical form [Aco, Bco] is used as an intermediate step. The controller canonical form [Ac, Bc] can readily be obtained by means of the simple transformation between [Aco, Bco] and [Ac, Bc], thus avoiding such complicated calculations as would arise from computing [Ac, Bc] directly in the usual pole-assignment algorithm. In this paper, the block pole assignment method is used so that the gain of the feedback matrix can be made smaller. This method also provides freedom of selection among a number of pole assignment schemes. On the other hand, a suitable choice of the feedback matrix affords more freedom, for meeting other performances. With this method, the stability of the designed system remains even if the state feedback should faiL Therefore, this system is highly reliable.