Robust $$H_{infty }$$ Filters for Uncertain Systems with Finite Frequency Specifications

[摘要] This paper deals with (H_{infty }) filtering problem of linear discrete-time uncertain systems with finite frequency input signals. The uncertain parameters are supposed to reside in a polytope. By applying the generalized Kalman–Yakubovich–Popov lemma, polynomially parameter-dependent Lyapunov function and some key matrices to eliminate the product terms between the filter parameters and the Lyapunov matrices, an improved condition is obtained for analyzing the (H_{infty }) performance of the filtering error system. Then sufficient condition in terms of linear matrix inequality is established for designing filters with a guaranteed (H_{infty }) filtering performance level. Finally, a numerical examples are used to demonstrate the effectiveness of the proposed method.

[学科分类] 自动化工程

[关键词] Discrete time system ;Finite frequency ;GKYP lemma ;(H_{infty });Uncertain systems ;Linear matrix inequalities (LMIs)