Weighted h8 filtering for a class of switched linear systems with additive time-varying delays

This paper is concerned with the problem of weighted H_∞ 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_∞ 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.