☆ 4.6 Article

Global fixed-time stabilization for a class of switched nonlinear systems with general powers and its application

NONLINEAR ANALYSIS-HYBRID SYSTEMS (2019)

Journal

NONLINEAR ANALYSIS-HYBRID SYSTEMS

Volume 31, Issue -, Pages 56-68

Publisher

ELSEVIER SCI LTD

DOI: 10.1016/j.nahs.2018.08.005

Keywords

Switched nonlinear systems; Common Lyapunov function; Adding a power integrator; Fixed-time stabilization

Categories

Automation & Control Systems Mathematics, Applied

Funding

National Nature Science Foundation of China [61873120, 61673243, 61703232, 61473265, 51675259]
Project of Taishan Scholar of Shandong Province of China [TS20120529]
PhD Programs Foundation of Ministry of Education of China [20123705110002]
National Nature Science Foundation of Shandong Province [ZR2017QF013]
High-level Talent Initial Funding of Nanjing Institute of Technology

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Abstract

This paper investigates the problem of global fixed-time stabilization for a class of uncertain switched nonlinear systems with the general powers, namely, the powers of the considered systems can be different odd rational numbers, even rational numbers or both odd and even rational numbers. By skillfully using the common Lyapunov function method and the adding a power integrator technique, a common state feedback control strategy is developed. It is proved that the proposed controller can guarantee that the state of the resulting closed-loop system converges to zero for any given fixed time under arbitrary switchings. Simulation results of the liquid-level system are provided to show the effectiveness of the proposed method. (C) 2018 Elsevier Ltd. All rights reserved.

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