Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 31, Issue -, Pages 56-68Publisher
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
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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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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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