A time-varying feedback approach for triangular systems with nonlinear parameterization

This paper addresses the problem of global regulation of nonlinear lower-triangular systems with nonlinear parameterization. The uncertain parameters are assumed to be in an unknown compact set or unbounded. To solve this problem, we propose a novel time-varying control design for uncertain lower-tr...

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Main Author: R. Pongvuthithum
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/59739
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-597392018-09-10T03:20:44Z A time-varying feedback approach for triangular systems with nonlinear parameterization R. Pongvuthithum Mathematics This paper addresses the problem of global regulation of nonlinear lower-triangular systems with nonlinear parameterization. The uncertain parameters are assumed to be in an unknown compact set or unbounded. To solve this problem, we propose a novel time-varying control design for uncertain lower-triangular systems. The proposed controller guarantees that closed-loop system trajectories are well-defined and bounded. In addition, after a certain finite time, all of the closed-loop trajectories exponentially converge to the origin. © 2009 Society for Industrial and Applied Mathematics. 2018-09-10T03:20:44Z 2018-09-10T03:20:44Z 2009-06-30 Journal 03630129 2-s2.0-67649271597 10.1137/070683441 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=67649271597&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59739
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
R. Pongvuthithum
A time-varying feedback approach for triangular systems with nonlinear parameterization
description This paper addresses the problem of global regulation of nonlinear lower-triangular systems with nonlinear parameterization. The uncertain parameters are assumed to be in an unknown compact set or unbounded. To solve this problem, we propose a novel time-varying control design for uncertain lower-triangular systems. The proposed controller guarantees that closed-loop system trajectories are well-defined and bounded. In addition, after a certain finite time, all of the closed-loop trajectories exponentially converge to the origin. © 2009 Society for Industrial and Applied Mathematics.
format Journal
author R. Pongvuthithum
author_facet R. Pongvuthithum
author_sort R. Pongvuthithum
title A time-varying feedback approach for triangular systems with nonlinear parameterization
title_short A time-varying feedback approach for triangular systems with nonlinear parameterization
title_full A time-varying feedback approach for triangular systems with nonlinear parameterization
title_fullStr A time-varying feedback approach for triangular systems with nonlinear parameterization
title_full_unstemmed A time-varying feedback approach for triangular systems with nonlinear parameterization
title_sort time-varying feedback approach for triangular systems with nonlinear parameterization
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=67649271597&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/59739
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