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

This paper is concerned with the L1 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 L1 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 L1 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 L1 filter design can be transformed into finite number of LMIs. A numerical example is presented to verify the effectiveness of the proposed method.