Robust L 1 filtering for switched LPV systems with average dwell time

摘要: In this paper, a robust L 1 filtering method is proposed for class of switched linear parameter varying (LPV) systems in which the state-space matrices and time delay rely on real-time measured parameter. By using multiple delay-dependent Lyapunov-Krasovskii function, performance criterion LPV first established. As there exists coupling between Lyapunov function system matrices, we utilized slack matrix variable to decouple it. Because dependence parameter, approximate basis gridding technique are utilized, solution filters can be transformed into finite dimensional convex optimization problem. Based switching logic with minimum average dwell (ADT) inequalities (PLMIs) technique, resulting guarantee error exponentially stable prespecified disturbance attenuation level. A numerical example presented verify effectiveness method.