基于稳定不变零点奇异系统的降阶H(下标 ∞)滤波器设计

This paper considers reduced-order H(subscript ∞) 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(subscript ∞) filter for the original system can be designed by using the existing method. An algorithm to Solve the problem of reduced-order H(subscript ∞) 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.