Robust L1 fixed-order filtering for switched LPV systems with parameter-dependent delays

This paper is concerned with the L 1 fixed-order filtering problem for a class of switched linear parameter-varying (LPV) systems in which the system matrices and the time delays are dependent on the real-time measured parameters. The authors׳ attention is concentrated on designing the fixed-order filter that guarantees the filtering error system to be exponentially stable and to satisfy a prescribed L 1 disturbance attenuation level with respect to all amplitude-bounded disturbances. Based on the switching logic with the minimum average dwell time (ADT), the delay-dependent L 1 performance criterion for the switched LPV systems is first established. As there exists coupling between a Lyapunov function matrix and system parameter matrices, we utilize a slack matrix to decouple it. According to the obtained results, the admissible filter can be solved in terms of parameter linear matrix inequality (PLMI) technology. Using approximate basis function and gridding technique, the L 1 filter design can be transformed into finite number of LMIs. A numerical example is presented to verify the effectiveness of the proposed method.