Finite frequency H∞ filtering for switching LPV systems

This paper studies the problem of finite frequency H_∞ filter design for switching linear parameter varying (LPV) systems with disturbance frequency affected by system parameters. A set of switching filters are designed, each suitable for a specific parameter subregion and a specific finite frequency performance index, the frequency range of each performance index depends on the parameter subregion. The hysteresis switching logic is adopted, and the design problem is finally formulated into linear matrix inequality (LMI) which can be computed efficiently with LMI Control Toolbox. A numerical example is given to illustrate the effectiveness of the proposed method.