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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th-cmuir.6653943832-477512018-04-25T08:43:31Z Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems Teerapap Kuptarat Chulin Likasiri Radom Pongvuthithum 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. 2018-04-25T08:43:31Z 2018-04-25T08:43:31Z 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/6653943832/47751 |
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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. |
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Teerapap Kuptarat Chulin Likasiri Radom Pongvuthithum |
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Teerapap Kuptarat Chulin Likasiri Radom Pongvuthithum Global stability by output feedback control for a class of nondifferentiable uncertain nonlinear systems |
author_facet |
Teerapap Kuptarat Chulin Likasiri Radom Pongvuthithum |
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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 |
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2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84880942366&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47751 |
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