Nonsmooth feedback adaptive stabilization for high-order nonlinear systems subject to state delay

This paper proposes a nonsmooth control scheme for high-order nonlinear time-delay systems without extra assumptions, which can be regarded as an expansion of the backstepping method based on dynamic gains. With the help of the Lyapunov-Krasovskii theorem, a continuous and memoryless controller is e...

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Published inChinese Control Conference pp. 674 - 678
Main Authors Xianglei Jia, Junfeng Zhang, Yun Chen, Ridong Zhang
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, CAA 01.07.2017
Subjects
Adaptive systems
Automation
Backstepping
Delays
Dynamic Gains
Lyapunov methods
Lyapunov-Krasovskii Functional
Nonlinear dynamical systems
Nonsmooth
Time-Delay Systems
Online AccessGet full text
ISSN1934-1768
DOI10.23919/ChiCC.2017.8027420

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Abstract This paper proposes a nonsmooth control scheme for high-order nonlinear time-delay systems without extra assumptions, which can be regarded as an expansion of the backstepping method based on dynamic gains. With the help of the Lyapunov-Krasovskii theorem, a continuous and memoryless controller is explicitly constructed, which guarantees that all the closed-loop signals are globally uniformly ultimately bounded while the original system states asymptotically converge to zero. Finally, an example is given to illustrate the usefulness of our result.
AbstractList This paper proposes a nonsmooth control scheme for high-order nonlinear time-delay systems without extra assumptions, which can be regarded as an expansion of the backstepping method based on dynamic gains. With the help of the Lyapunov-Krasovskii theorem, a continuous and memoryless controller is explicitly constructed, which guarantees that all the closed-loop signals are globally uniformly ultimately bounded while the original system states asymptotically converge to zero. Finally, an example is given to illustrate the usefulness of our result.
Author Ridong Zhang
Junfeng Zhang
Yun Chen
Xianglei Jia
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  organization: Sch. of Autom., Hangzhou Dianzi Univ., Hangzhou, China
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  surname: Junfeng Zhang
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  organization: Sch. of Autom., Hangzhou Dianzi Univ., Hangzhou, China
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  surname: Yun Chen
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  organization: Sch. of Autom., Hangzhou Dianzi Univ., Hangzhou, China
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  surname: Ridong Zhang
  fullname: Ridong Zhang
  organization: Sch. of Autom., Hangzhou Dianzi Univ., Hangzhou, China
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Snippet This paper proposes a nonsmooth control scheme for high-order nonlinear time-delay systems without extra assumptions, which can be regarded as an expansion of...
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StartPage 674
SubjectTerms Adaptive systems
Automation
Backstepping
Delays
Dynamic Gains
Lyapunov methods
Lyapunov-Krasovskii Functional
Nonlinear dynamical systems
Nonsmooth
Time-Delay Systems
Title Nonsmooth feedback adaptive stabilization for high-order nonlinear systems subject to state delay
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