Asymptotic Regulation of Time-Delay Nonlinear Systems with Unknown Control Directions

© 1963-2012 IEEE. This paper studies the problem of global state regulation with stability for time-delay nonlinear systems with unknown control directions. Using a dynamic gain-based method for counteracting time-delay nonlinearity and the Nussbaum-gain function for dealing with unknown control dir...

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Main Authors: Radom Pongvuthithum, Kanya Rattanamongkhonkun, Wei Lin
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85029183600&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/58506
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-585062018-09-05T04:28:22Z Asymptotic Regulation of Time-Delay Nonlinear Systems with Unknown Control Directions Radom Pongvuthithum Kanya Rattanamongkhonkun Wei Lin Computer Science Engineering © 1963-2012 IEEE. This paper studies the problem of global state regulation with stability for time-delay nonlinear systems with unknown control directions. Using a dynamic gain-based method for counteracting time-delay nonlinearity and the Nussbaum-gain function for dealing with unknown control directions, we develop a dynamic state feedback control strategy that solves the problem. A novel construction of Lyapunov-Krasovskii functionals is presented and plays a key role in handling nonlinearity with delayed states and unknown control directions simultaneously. The proposed dynamic state feedback compensators are shown to guarantee 1) global asymptotic convergence of the system state to the origin and 2) global boundedness of the resulting closed-loop systems. 2018-09-05T04:25:43Z 2018-09-05T04:25:43Z 2018-05-01 Journal 00189286 2-s2.0-85029183600 10.1109/TAC.2017.2748898 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85029183600&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58506
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Computer Science
Engineering
spellingShingle Computer Science
Engineering
Radom Pongvuthithum
Kanya Rattanamongkhonkun
Wei Lin
Asymptotic Regulation of Time-Delay Nonlinear Systems with Unknown Control Directions
description © 1963-2012 IEEE. This paper studies the problem of global state regulation with stability for time-delay nonlinear systems with unknown control directions. Using a dynamic gain-based method for counteracting time-delay nonlinearity and the Nussbaum-gain function for dealing with unknown control directions, we develop a dynamic state feedback control strategy that solves the problem. A novel construction of Lyapunov-Krasovskii functionals is presented and plays a key role in handling nonlinearity with delayed states and unknown control directions simultaneously. The proposed dynamic state feedback compensators are shown to guarantee 1) global asymptotic convergence of the system state to the origin and 2) global boundedness of the resulting closed-loop systems.
format Journal
author Radom Pongvuthithum
Kanya Rattanamongkhonkun
Wei Lin
author_facet Radom Pongvuthithum
Kanya Rattanamongkhonkun
Wei Lin
author_sort Radom Pongvuthithum
title Asymptotic Regulation of Time-Delay Nonlinear Systems with Unknown Control Directions
title_short Asymptotic Regulation of Time-Delay Nonlinear Systems with Unknown Control Directions
title_full Asymptotic Regulation of Time-Delay Nonlinear Systems with Unknown Control Directions
title_fullStr Asymptotic Regulation of Time-Delay Nonlinear Systems with Unknown Control Directions
title_full_unstemmed Asymptotic Regulation of Time-Delay Nonlinear Systems with Unknown Control Directions
title_sort asymptotic regulation of time-delay nonlinear systems with unknown control directions
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85029183600&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/58506
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