Global stabilisation for a class of uncertain nonlinear time-delay systems by dynamic state and output feedback

This paper investigates the design problem of constructing the state and output feedback stabilisation controller for a class of uncertain nonlinear systems subject to time-delay. First, a dynamic linear state feedback control law with an adaptive strategy is developed to globally stabilise the unce...

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Bibliographic Details
Published inInternational journal of control Vol. 88; no. 6; pp. 1163 - 1173
Main Authors Chai, Lin, Qian, Chunjiang
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.06.2015
Taylor & Francis Ltd
Subjects
Adaptive control systems
Controllers
dynamic linear feedback control
Dynamical systems
Feedback control systems
global stabilisation
Nonlinear dynamics
Nonlinear systems
Nonlinearity
Output feedback
State feedback
Strategy
time-delay
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ISSN0020-7179
1366-5820
DOI10.1080/00207179.2014.997293

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Summary:This paper investigates the design problem of constructing the state and output feedback stabilisation controller for a class of uncertain nonlinear systems subject to time-delay. First, a dynamic linear state feedback control law with an adaptive strategy is developed to globally stabilise the uncertain nonlinear time-delay system under a lower-triangular higher-order growth condition. Then, one more challenging problem of the adaptive output feedback stabilisation is addressed, which can globally stabilise the time-delay system when the unmeasurable states linearly grow with rate functions consisting of higher-order output.
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ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2014.997293