Weighted H∞ Filtering for a Class of Switched Linear Systems with Additive Time-Varying Delays

This paper is concerned with the problem of weighted H-infinity filtering for a class of switched linear systems with two additive time-varying delays, which represent a general class of switched time-delay systems with strong background in networked control systems (NCSs). Based on average dwell time (ADT) approach, sufficient conditions are established to guarantee the exponential stability and weighted H-infinity performance for the filtering error systems. The parameters of the designed switched filters are obtained by solving linear matrix inequalities (LMIs). A modification of Jensen's integral inequality is exploited to derive results with less theoretically conservatism and computational complexity. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.