The problem of robust ??∞ filtering for continuous switched linear parameter varying(LPV) systems is
investigated. Traditionally, a comment LPV filter which has usually large conservatism is designed for the whole parameter variation space. The robust ??∞ filter with multiple parameter-dependent is designed by using multiple parameter-dependent Lyapunov function, which reduces the conservatism of the design. Under the condition of the switching logic with the minimum average dwell time, the obtained robust ??∞ filter guarantees that the filtering error system is exponential stable and has a certain ??∞ disturbance rejection level. Numerical example shows the effectiveness of the proposed method.