基于同伦不动点的控制系统极点配置

Control System Pole Disposition Based on Homotopic Fixed Point

为了解决控制器设计中的系统闭环极点配置问题,在多项式同伦映射与其零点映射轨线的基础上,定义了同伦映射不动点,导出并证明了基于同伦不动点的控制系统闭环极点配置方法,该方法在系统闭环极点的意义上与原极点配置定理等价．

In order to solve the problem of pole disposition in controller designing with closed loop system, based on polynomial homotopie mapping and the corresponding zero loci, this article gave the definition of the homotopie fixed point, deducted and proved a pole disposition method based on the homotopie fixed point, which was equivalent to the pole disposition theorem original in the means of closed loop poles. The conclusion of the study can be applied in control system compensating design by root locus method effectively.