Switching H2 filter design for LPV systems with hysteresis switching logic

This paper studies the problem of switching H₂ filter design for linear parameter varying (LPV) systems via multiple parameter-dependent Lyapunov functions. Less conservative conditions are obtained when considering the hysteresis switching compared with the existing techniques, 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.