Switched-observer-based adaptive DSC design of nonstrict-feedback switched stochastic nonlinear time-delay systems. (November 2020)

• Record Type: Journal Article
• Authors: Liu, Yanli; Xu, Shaojie; Ma, Hongjun
• Is Part Of: Nonlinear analysis. Volume 38(2020)
• Publication Date: 2020-11
• Subjects: Switched stochastic systems -- Neural network -- Time delay -- Dynamic surface control -- Average dwell time; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2020.100917
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: For switched stochastic nonlinear systems with time delay, an adaptive output-feedback tracking control problem is studied by using the dynamic surface control (DSC) method associated with a switched state observer. The time-varying delay terms are handled by constructing an appropriate stochastic Lyapunov–Krasovskii functional. The unknown nonlinearities in the considered systems are adaptively approximated by the function approximation approach—neural networks (NNs). It is shown that, under the average dwell time (ADT) method, the semiglobal uniformly ultimately boundedness (SGUUB) is guaranteed for all closed-loop signals by the developed switched controllers of different subsystems even in the presence of time delay, meanwhile, the tracking error is confined to a small residual set. A practical system example and a numerical example are provided to demonstrate the efficacy of the proposed scheme.