Gain Scheduled Filtering Design for Parameter Varying System

In this paper, the problem of gain-scheduled H8 filter design for a class of parameter-varying systems with time-varying delays is discussed. An improved stability and H8-performance condition of the augmented system is developed. A sufficient existence condition of a desired gain-scheduled H8 filter is derived and expressed in terms of feasibility testing of linear matrix inequalities (LMIs) and explicit expressions of the filter gains are provided. Numerical simulations are presented to demonstrate the effectiveness of the proposed design method.