Exponential l_2- l_∞ filtering for discrete-time switched systems under a new framework

摘要

In this paper, a robust exponential l_2- l_∞ filtering problem is addressed for discrete-time switched systems with polytopic uncertainties. The purpose of robust exponential l_2- l_∞ filtering is to design a filter such that the resulting filtering error system is robustly exponentially stable with a decay rate and a prescribed exponential l_2- l_∞ performance index. The robust exponential l_2- l_∞ filtering problem is solved via an average dwell time approach. Sufficient conditions in terms of strict LMI are derived for checking the robust exponential stability of a filter. An explicit expression for the desired robust exponential filter is also given. Finally, a numerical example is provided to demonstrate the potential and effectiveness of the proposed method.