Finite-time resilient decentralized control for interconnected impulsive switched systems with neutral delay

• Published in: ISA transactions Vol. 67; pp. 19 - 29
• Main Authors: Ren, Hangli, Zong, Guangdeng, Hou, Linlin, Yang, Yi
• Format: Journal Article
• Language: English
• Published: United States Elsevier Ltd 01.03.2017
• Subjects: Finite-time boundedness; Finite-time stability; Interconnected impulsive switched systems; Neutral delay; Resilient decentralized switched control; Finite-time stability; Neutral delay; Resilient decentralized switched control; Interconnected impulsive switched systems; Finite-time boundedness
• ISSN: 0019-0578; 1879-2022
• DOI: 10.1016/j.isatra.2017.01.013

This paper is concerned with the problem of finite-time control for a class of interconnected impulsive switched systems with neutral delay in which the time-varying delay appears in both the state and the state derivative. The concepts of finite-time boundedness and finite-time stability are respectively extended to interconnected impulsive switched systems with neutral delay for the first time. By applying the average dwell time method, sufficient conditions are first derived to cope with the problem of finite-time boundedness and finite-time stability for interconnected impulsive switched systems with neutral delay. In addition, the purpose of finite-time resilient decentralized control is to construct a resilient decentralized state-feedback controller such that the closed-loop system is finite-time bounded and finite-time stable. All the conditions are formulated in terms of linear matrix inequalities to ensure finite-time boundedness and finite-time stability of the given system. Finally, an example is presented to illustrate the effectiveness of the proposed approach. •Very few results are concerned with the problem of finite-time control for a class of interconnected impulsive switched systems with neutral delay; which motivates us to study this problem.•It is the first attempt to resolve the finite-time control problem for an interconnected impulsive switched systems with neutral delay through resilient decentralized controller, which is robust and nonfragile.•The water quality control problem is introduced to show the effective-ness of the algorithms