Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume 66, Issue 11, Pages 1890-1894Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2018.2890556
Keywords
Switches; Nonlinear systems; Switched systems; Lyapunov methods; State feedback; Asymptotic stability; Arbitrary switchings; common Lyapunov function; fixed-time stabilization; switched nonlinear systems; time-varying scaling transformation
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Funding
- National Nature Science Foundation of China [61873120, 61673243, 61703232]
- National Nature Science Foundation of Shandong Province [ZR2017QF013]
- High-Level Talent Initial Funding of Nanjing Institute of Technology [YKJ201824]
- Qing Lan project of Jiangsu Province
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This brief is concerned with the problem of global fixed-time stabilization for a class of switched nonlinear systems in strict-feedback form. A novel time-varying scaling transformation is introduced to convert the original fixed-time stabilization problem into the asymptotic stabilization problem of transformed systems. Based on this, a new framework to address fixed-time state feedback for switched nonlinear systems is developed by employing the common Lyapunov function method and the adding a power integrator technique. It is proved that the proposed controller renders the states of the closed-loop system to zero in any prescribed finite time under arbitrary switchings. Finally, simulation results of a practical example are provided to confirm the efficacy of the proposed method.
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