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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Bibliographic Details
Main Author: R. Pongvuthithum
Format: Journal
Published: 2018
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Online Access: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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Institution: Chiang Mai University
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Summary: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.