Adaptive stabilization of impulsive switched linear time-delay systems: A piecewise dynamic gain approach. (May 2019)

• Record Type: Journal Article
• Authors: Yuan, Shuai; Zhang, Lixian; Baldi, Simone
• Is Part Of: Automatica. Volume 103(2019)
• Page Start: 322
• Page End: 329
• Publication Date: 2019-05
• Subjects: Adaptive control -- Impulsive switched linear systems -- Time-varying delays -- Mode-dependent dwell time; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2019.02.004
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In the presence of discontinuous time-varying delays, neither Krasovskii nor Razumikhin techniques can be successfully applied to adaptive stabilization of uncertain switched time-delay systems. This paper develops a new adaptive control scheme for switched time-delay systems that can handle impulsive behavior in both states and time-varying delays. At the core of the proposed scheme is a Lyapunov function with a dynamically time-varying coefficient, which allows the Lyapunov function to be non-increasing at the switching instants. The control scheme, guaranteeing global uniformly ultimate boundedness of the closed-loop system, substantially enlarges the class of uncertain switched systems for which the adaptive stabilization problem can be solved. A two-tank system is used to illustrate the effectiveness of the method.