Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance

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dc.article.end-page26en_ZA
dc.article.start-page12en_ZA
dc.citation.doihttps://doi.org/10.1080/00207179.2016.1235286en_ZA
dc.contributor.authorZhou, H.C.
dc.contributor.authorGuo, B.Z.
dc.date.accessioned2020-07-10T08:31:36Z
dc.date.available2020-07-10T08:31:36Z
dc.date.issued2019-01-02
dc.description.abstractIn this paper, we consider stabilisation for a cascade of ODE and first-order hyperbolic equation with external disturbance flowing to the control end. The active disturbance rejection control (ADRC) and sliding mode control (SMC) approaches are adopted in investigation. By ADRC approach, the disturbance is estimated through a disturbance estimator with both time-varying high gain and constant high gain, and the disturbance is canceled online in the feedback loop. It is shown that the resulting closed-loop system with time-varying high gain is asymptotically stable and is practically stable with constant high gain. By SMC approach, the existence and uniqueness of the solution for the closed loop via SMC are proved, and the monotonicity of the ‘reaching condition’ is presented. The resulting closed-loop system is shown to be exponentially stable. The numerical experiments are carried out to illustrate effectiveness of the proposed control law. © 2016, © 2016 Informa UK Limited, trading as Taylor & Francis Group.en_ZA
dc.description.librarianTT2020en_ZA
dc.description.sponsorshipNational Natural Science Foundation of China, funding Code: 61273129en_ZA
dc.facultyFaculty of Scienceen_ZA
dc.identifier.citationHua-Cheng Zhou & Bao-Zhu Guo (2019) Stabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbance, International Journal of Control, 92:1, 12-26, DOI: 10.1080/00207179.2016.1235286en_ZA
dc.identifier.issnISSN: 0020-7179
dc.identifier.issnESSN: 1366-5820
dc.identifier.urihttps://hdl.handle.net/10539/29251
dc.journal.issue1en_ZA
dc.journal.titleInternational Journal of Controlen_ZA
dc.journal.volume92en_ZA
dc.language.isoenen_ZA
dc.publisherTaylor and Francis Ltd.en_ZA
dc.rights© 2016, © 2016 Informa UK Limited, trading as Taylor & Francis Group.en_ZA
dc.schoolComputer Science and Applied Mathematicsen_ZA
dc.subjectActive disturbance rejection controlen_ZA
dc.subjectSliding mode control
dc.subjectBoundary feedback control
dc.subjectStabilisation
dc.titleStabilization of ODE with hyperbolic equation actuator subject to boundary control matched disturbanceen_ZA
dc.title.alternativeInternational Journal of Controlen_ZA
dc.typeArticleen_ZA
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