具有鲁棒极点区域的连续控制系统设计

DESIGN OF CONTROL SYSTEMS WITH POLES LOCATED IN A ROBUST REGION

  • 摘要: 本文提出了多变量控制系统设计的一种新方法,并给出了该方法的实现条件.利用该方法设计控制系统,可使得闭环系统的极点全部位于复平面左半平面的一个矩形区域内,且该区域的边界对于系统参数摄动具有最小的灵敏度.该方法可提供较多的自由度,具有很好的数值稳定性,且可适用于时变系统.数值例子说明,该方法对于一类多变量线性控制系统的设计是简单、有效的.

     

    Abstract: In this paper,a new method for design of multivariable linear control systems,as well as its implementation condition are presented.In the design of control systems with this method,the closed loop poles can be located in a triangular region in the left complex plane,and moreover,the boundary of this region is insensitive to purturbations of the system parameters.This method provides more freedom,posseses good reliability,and also suits for time varying systems.A numerical example demonstrates that this method is simple and effective for design of a class of multivariable control systems.

     

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