Finite-time filtering for switched linear systems with a mode-dependent average dwell time. (February 2015)

• Record Type: Journal Article
• Authors: Cheng, Jun; Zhu, Hong; Zhong, Shouming; Zheng, Fengxia; Zeng, Yong
• Is Part Of: Nonlinear analysis. Volume 15(2015)
• Page Start: 145
• Page End: 156
• Publication Date: 2015-02
• Subjects: Finite-time stability -- Lyapunov–Krasovskii function -- Mode-dependent average dwell time -- Switched linear systems; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2014.09.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This study considers the problem of finite-time filtering for switched linear systems with a mode-dependent average dwell time. By introducing a newly augmented Lyapunov–Krasovskii functional and considering the relationship between time-varying delays and their upper delay bounds, sufficient conditions are derived in terms of linear matrix inequalities such that the filtering error system is finite-time bounded and a prescribed noise attenuation level is guaranteed for all non-zero noises. Thus, a finite-time filter is designed for switched linear systems with a mode-dependent average dwell time. Finally, an example is given to illustrate the efficiency of the proposed methods.