Nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay

Nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay

© 2018 John Wiley & Sons, Ltd. The problem of global stabilization by nonsmooth state feedback is investigated for a family of time-delay nonlinear systems with unknown control direction. Using the idea of the Nussbaum function from universal control, we present a delay-free, nonsmooth dynamic...

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Main Authors: K. Rattanamongkhonkun, R. Pongvuthithum, Wei Lin
Format: Journal
Published: 2018
Subjects:
Chemical Engineering
Engineering
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85053557257&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62607
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-626072018-11-29T07:41:27Z Nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay K. Rattanamongkhonkun R. Pongvuthithum Wei Lin Chemical Engineering Engineering © 2018 John Wiley & Sons, Ltd. The problem of global stabilization by nonsmooth state feedback is investigated for a family of time-delay nonlinear systems with unknown control direction. Using the idea of the Nussbaum function from universal control, we present a delay-free, nonsmooth dynamic state feedback strategy to achieve asymptotic state regulation with boundedness of the closed-loop system. The proposed control scheme allows one to design a set of Lyapunov-Krasovskii functionals and nonsmooth dynamic compensators simultaneously, by the technique of adding a power integrator. It is shown that while the effects of unknown control direction can be mitigated by the Nussbaum-type gains, the strong nonlinearity with time delay can be effectively dealt with by nonsmooth state feedback controllers whose gains are updated dynamically. 2018-11-29T07:35:18Z 2018-11-29T07:35:18Z 2018-11-25 Journal 10991239 10498923 2-s2.0-85053557257 10.1002/rnc.4317 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85053557257&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62607
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Chemical Engineering
Engineering
spellingShingle Chemical Engineering
Engineering
K. Rattanamongkhonkun
R. Pongvuthithum
Wei Lin
Nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay
description © 2018 John Wiley & Sons, Ltd. The problem of global stabilization by nonsmooth state feedback is investigated for a family of time-delay nonlinear systems with unknown control direction. Using the idea of the Nussbaum function from universal control, we present a delay-free, nonsmooth dynamic state feedback strategy to achieve asymptotic state regulation with boundedness of the closed-loop system. The proposed control scheme allows one to design a set of Lyapunov-Krasovskii functionals and nonsmooth dynamic compensators simultaneously, by the technique of adding a power integrator. It is shown that while the effects of unknown control direction can be mitigated by the Nussbaum-type gains, the strong nonlinearity with time delay can be effectively dealt with by nonsmooth state feedback controllers whose gains are updated dynamically.
format Journal
author K. Rattanamongkhonkun
R. Pongvuthithum
Wei Lin
author_facet K. Rattanamongkhonkun
R. Pongvuthithum
Wei Lin
author_sort K. Rattanamongkhonkun
title Nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay
title_short Nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay
title_full Nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay
title_fullStr Nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay
title_full_unstemmed Nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay
title_sort nonsmooth feedback stabilization of a class of nonlinear systems with unknown control direction and time delay
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85053557257&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62607
_version_ 1681425838702067712

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