H∞ switching filter design for LPV systems in finite frequency domain

This article 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. A hysteresis switching logic is adopted, and the design problem is finally formulated into linear matrix inequality (LMI) which can be solved efficiently with LMI Control Toolbox. A numerical example is given to illustrate the effectiveness of the proposed method.