Weighted \(H_{\infty}\) filtering for a class of switched linear systems with additive time-varying delays
Summary: This paper is concerned with the problem of weighted \(H_{\infty}\) 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 practical background. Combining average dwell time (ADT) technique with piecewise Lyapunov functionals, sufficient conditions are established to guarantee the exponential stability and weighted \(H_{\infty}\) 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 integral inequality is exploited to derive results with less theoretical conservatism and computational complexity. Finally, two examples are given to demonstrate the effectiveness of the proposed method.
scientific article; zbMATH DE number 6926910
scientific article