基于稳定不变零点奇异系统的降阶H_∞滤波器设计

研究了连续奇异系统的降阶H_∞滤波器的设计问题.通过将原系统转化为一个标称系统和一个不确定部分,同时增加补充的约束条件,使原系统的稳定不变零点转化为标称系统的不稳定不变零点,从而可以基于标称系统,利用已有的降阶算法设计得到原系统的降阶H_∞滤波器.文中给出了降阶H_∞滤波器的设计算法,并进一步研究了可用于构造降阶滤波器的不变零点的范围.最后给出一个算例,说明该设计方法的有效性和可行性.

Reduced-order H_∞ Filtering Design for Singular Systems Based on Stable Invariant Zeros

This paper considers reduced-order H_∞ filtering design for continuous singular systems.By adding a complementary constraint,the original system is divided into a nominal system and an uncertain part,then the stable invariant zeros of the original system become unstable in the nominal system.Based on the nominal system,a reduced-order H_∞ filter for the original system can be designed by using the existing method.An algorithm to solve the problem of reduced-order H_∞ filtering is proposed,and the range of invariant zeros which can be used to construct a reduced-order filter is discussed.An illustrative example is given to demonstrate the effectiveness of the proposed approach.