摘要
研究了单输入控制系统的同时镇定问题。给出了同时镇定ｒ个单输入系统控制器解存在的充分条件，并由此提出了一种设计同时镇定ｒ个单输入系统控制器的最小二乘算法。由于最小二乘算法具有很好的几何特性，从而使本文算法不仅计算简单，而且能够方便地从几何图形上分析并修改系统的解。
This paper studies the simultaneous stabilization problem of r single input systems.Asufficient condition is given for the existence of the solution to this problem,and a corresponding least square algorithm is proposed to design the simultaneous stabilization controller.Due to the proper geometric properties of least square algorithm,by using the method proposed in the paper,one can easily analyze and modify his results instead of trying blindly.
关键词
同时镇定
特征多项多
根轨迹
控制系统
单输入
simultaneous stabilization
state feedback
characteristic polynomial
root locus
