Finite-/fixed-time robust stabilization of switched discontinuous systems with disturbances

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)2057-2068
Journal / PublicationNonlinear Dynamics
Volume90
Issue number3
Online published7 Sep 2017
Publication statusPublished - Nov 2017

Abstract

This paper investigates the finite-time and fixed-time stabilization (FFTS) of switched systems with discontinuous dynamics, external disturbances and delays. Firstly, a new parameterized discontinuous stabilizer is designed to ensure the FFTS of switched discontinuous systems in the sense of Filippov solutions. Secondly, a detailed analysis is provided on how to regulate the power parameters to determine the settling time is finite or fixed. Thirdly, a new adaptive controller is further designed to stabilize the considered system in a finite time, and the corresponding settling time is estimated as well. Finally, two examples are given to demonstrate the efficiency of the proposed method.

Research Area(s)

  • Discontinuous systems, Finite-time stabilization, Fixed-time stabilization, Switched systems

Citation Format(s)

Finite-/fixed-time robust stabilization of switched discontinuous systems with disturbances. / Liu, Xiaoyang; Ho, Daniel W. C.; Song, Qiang et al.

In: Nonlinear Dynamics, Vol. 90, No. 3, 11.2017, p. 2057-2068.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review