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dc.contributor.authorShahab, Mohamad T.
dc.contributor.authorMiller, Daniel E.
dc.date.accessioned2021-05-26T11:53:01Z
dc.date.available2021-05-26T11:53:01Z
dc.date.issued2021-05-13
dc.date.submitted2020-05-10
dc.identifier.citationShahab, M. T., & Miller, D. E. (2021). Adaptive control of a class of discrete-time nonlinear systems yielding linear-like behavior. Automatica, 130, 109691. doi:10.1016/j.automatica.2021.109691
dc.identifier.issn0005-1098
dc.identifier.doi10.1016/j.automatica.2021.109691
dc.identifier.urihttp://hdl.handle.net/10754/669266
dc.description.abstractIn adaptive control it is typically proven that an asymptotic form of stability holds, and that at best a bounded-noise bounded-state property is proven. Recently, however, it has been proven in a variety of scenarios that it is possible to carry out adaptive control for a linear time-invariant (LTI) discrete-time plant so that the closed-loop system enjoys linear-like behavior: exponential stability, a bounded noise gain, and a convolution bound on the exogenous signals; the key idea is to carry out parameter estimation by using the original projection algorithm together with restricting the parameter estimates to a convex set. In this paper, we extend this approach to a class of nonlinear plants and show how to carry out adaptive control so that we obtain the same desirable linear-like closed-loop properties. First, we consider plants with a known sign of the control gain; second, we consider the case when that sign is unknown, where two parameter estimators and a simple switching mechanism are used.
dc.description.sponsorshipFunding for this research was provided by the Natural Sciences and Engineering Research Council of Canada (NSERC). The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Changyun Wen under the direction of Editor Miroslav Krstic.
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S0005109821002119
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Automatica. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Automatica, [130, , (2021-05-13)] DOI: 10.1016/j.automatica.2021.109691 . © 2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleAdaptive control of a class of discrete-time nonlinear systems yielding linear-like behavior
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalAutomatica
dc.rights.embargodate2023-05-13
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada
dc.identifier.volume130
dc.identifier.pages109691
kaust.personShahab, Mohamad T.
dc.date.accepted2021-03-29
dc.identifier.eid2-s2.0-85105828648


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