Gain-scheduled H∞ filtering of parameter-varying systems

This paper deals with the gain-scheduled H∞ filtering problem for a class of parameter-varying systems. A sufficient condition for the existence of a gain-scheduled filter, which guarantees the asymptotic stability with an H∞ noise attenuation level bound for the filtering error system, is given in terms of a finite number of linear matrix inequalities (LMIs). The filter is designed to be parameter-varying and have a nonlinear fractional transformation structure. A numerical example is presented to demonstrate the application of the proposed method.