Global stabilisation of nonlinear time-delay systems by partial-state feedback

This paper studies the global stabilisation of a class of partial-state feedback nonlinear systems with time-varying delay. By adopting the dynamic gain-based design method and backstepping technique, a state-feedback controller is constructed with the help of appropriate Lyapunov-Krasovskii functio...

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Bibliographic Details
Published inInternational journal of control Vol. 92; no. 8; pp. 1805 - 1814
Main Authors Wang, Xuhuan, Xiang, Zhengrong
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.08.2019
Taylor & Francis Ltd
Subjects
backstepping technique
dynamic gain
Feedback control
Lyapunov-Krasovskii functional
Nonlinear systems
Nonlinear time-delay systems
State feedback
Time delay systems
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Summary:This paper studies the global stabilisation of a class of partial-state feedback nonlinear systems with time-varying delay. By adopting the dynamic gain-based design method and backstepping technique, a state-feedback controller is constructed with the help of appropriate Lyapunov-Krasovskii functional. It is proved that all the measurable states of the closed-loop systems converge to the origin, and a simulation example is given to verify the effectiveness of the proposed scheme.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2017.1412089