Non-weighted Energy-to-Peak Filtering for Linear Switched Systems with Persistent Dwell Time

Abstract

This paper investigates the energy-to-peak filtering problem for a class of continuous-time linear switched systems. The switching signal is designed under the persistent dwell time switching strategy. The persistent dwell time switching can cover the dwell time switching and average dwell time switching as special cases, both of which are widely used to construct the switching signal in existing literature. Different from the existing studies about the energy-to-peak filtering problem for switched systems, a non-weighted energy-to-peak performance index is firstly derived in this paper. Combining the multiple Lyapunov functions (MLFs) approach and the persistent dwell time switching technique, new sufficient conditions are obtained for the globally uniformly asymptotical stability of filtering error systems. Under these conditions, a non-weighted energy-to-peak performance index has been established for the filtering error systems. Moreover, the energy-to-peak filter gains design problem has been transformed into solving linear matrix inequalities (LMIs). In the end, the effectiveness of the developed results has been illustrated by an example.