Continuous finite- and fixed-time high-order regulators

The contribution of this paper is twofold. First, an upper estimate of the convergence (settling) time is calculated for the finite-time convergent control algorithm that drives the state of a series of integrators to the origin. To the best of our knowledge, such an estimate is obtained for the fir...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 353; no. 18; pp. 5001 - 5012
Main Authors Basin, Michael, Shtessel, Yuri, Aldukali, Fathi
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.12.2016
Elsevier Science Ltd
Subjects
Control algorithms
Control systems
Control theory
Convergence
D C motors
Integrators
Nonlinear systems
Regulators
Settling
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Summary:The contribution of this paper is twofold. First, an upper estimate of the convergence (settling) time is calculated for the finite-time convergent control algorithm that drives the state of a series of integrators to the origin. To the best of our knowledge, such an estimate is obtained for the first time. Second, a novel fixed-time continuous control law is proposed for a chain of integrators of an arbitrary dimension. Its fixed-time convergence is established and the uniform upper bound of the settling time is computed. The theoretical developments are applied to a case study of controlling a DC motor.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2016.09.026