Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems

In this paper, we study the problem of global stabilization by output feedback for a class of nondifferentiable uncertain nonlinear systems of a planar system whose Jacobian linearization is uncontrollable and unobservable, and might not exist. Hence, the stabilization problem cannot be solved by an...

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Main Authors: Teerapap Kuptarat, Chulin Likasiri, Radom Pongvuthithum
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/52221
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-522212018-09-04T09:36:37Z Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems Teerapap Kuptarat Chulin Likasiri Radom Pongvuthithum Biochemistry, Genetics and Molecular Biology Chemistry Materials Science Mathematics Physics and Astronomy In this paper, we study the problem of global stabilization by output feedback for a class of nondifferentiable uncertain nonlinear systems of a planar system whose Jacobian linearization is uncontrollable and unobservable, and might not exist. Hence, the stabilization problem cannot be solved by any linear feedback control approach even locally. A truly nonlinear control design must be used. To solve this difficult problem, we propose a C° non-Lipschitz control law and an observer based on the concept of homogeneity and domination design approaches. Our control design does not base the separation principle. Both control law and observer are simultaneously constructed in a step-by-step design manner. 2018-09-04T09:22:19Z 2018-09-04T09:22:19Z 2013-08-06 Journal 01252526 2-s2.0-84880942366 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84880942366&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52221
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Biochemistry, Genetics and Molecular Biology
Chemistry
Materials Science
Mathematics
Physics and Astronomy
spellingShingle Biochemistry, Genetics and Molecular Biology
Chemistry
Materials Science
Mathematics
Physics and Astronomy
Teerapap Kuptarat
Chulin Likasiri
Radom Pongvuthithum
Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems
description In this paper, we study the problem of global stabilization by output feedback for a class of nondifferentiable uncertain nonlinear systems of a planar system whose Jacobian linearization is uncontrollable and unobservable, and might not exist. Hence, the stabilization problem cannot be solved by any linear feedback control approach even locally. A truly nonlinear control design must be used. To solve this difficult problem, we propose a C° non-Lipschitz control law and an observer based on the concept of homogeneity and domination design approaches. Our control design does not base the separation principle. Both control law and observer are simultaneously constructed in a step-by-step design manner.
format Journal
author Teerapap Kuptarat
Chulin Likasiri
Radom Pongvuthithum
author_facet Teerapap Kuptarat
Chulin Likasiri
Radom Pongvuthithum
author_sort Teerapap Kuptarat
title Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems
title_short Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems
title_full Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems
title_fullStr Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems
title_full_unstemmed Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems
title_sort global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84880942366&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52221
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