Finite-time H∞ dynamic output feedback control for nonlinear impulsive switched systems. (February 2021)

• Record Type: Journal Article
• Authors: Zhu, Chenhong; Li, Xiaodi; Cao, Jinde
• Is Part Of: Nonlinear analysis. Volume 39(2021)
• Publication Date: 2021-02
• Subjects: Finite-time boundedness -- Impulsive switched systems -- Dynamic output feedback -- H∞ control -- Mode-dependent average dwell time; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2020.100975
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper addresses the issues of finite-time bounded ( FTB ) and finite-time H ∞ control for nonlinear impulsive switched systems. By constructing appropriate multiple Lyapunov functions and employing mode-dependent average dwell time ( MDADT ) approach, some sufficient conditions are given to ensure that the system is FTB and finite-time H ∞ controllable. Moreover, a hybrid dynamic output feedback controller which contains continuous-time control and discrete-time control is designed in terms of linear matrix inequalities ( LMIs ). Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.