A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay

A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay

© 2020 European Control Association In this paper, an LMI-based design is proposed for observer control problem of nonlinear fractional-order systems subject to time-variable delay, where the delay function is non-differentiable, but continuous and bounded. Our novel technique is based on a new lemm...

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Main Authors: Vu Phat, Piyapong Niamsup, Mai V. Thuan
Format: Journal
Published: 2020
Subjects:
Engineering
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081905806&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/68408
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-684082020-04-02T15:26:17Z A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay Vu Phat Piyapong Niamsup Mai V. Thuan Engineering © 2020 European Control Association In this paper, an LMI-based design is proposed for observer control problem of nonlinear fractional-order systems subject to time-variable delay, where the delay function is non-differentiable, but continuous and bounded. Our novel technique is based on a new lemma concerning Caputo derivative estimation of quadratic functions. In this proposed approach, delay-dependent sufficient conditions in terms of linear matrix inequalities are obtained for the design state feedback controller and observer gains. A simulation-based example is given to illustrate the effectiveness of the theoretical result. 2020-04-02T15:26:17Z 2020-04-02T15:26:17Z 2020-01-01 Journal 09473580 2-s2.0-85081905806 10.1016/j.ejcon.2020.02.005 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081905806&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68408
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Engineering
spellingShingle Engineering
Vu Phat
Piyapong Niamsup
Mai V. Thuan
A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay
description © 2020 European Control Association In this paper, an LMI-based design is proposed for observer control problem of nonlinear fractional-order systems subject to time-variable delay, where the delay function is non-differentiable, but continuous and bounded. Our novel technique is based on a new lemma concerning Caputo derivative estimation of quadratic functions. In this proposed approach, delay-dependent sufficient conditions in terms of linear matrix inequalities are obtained for the design state feedback controller and observer gains. A simulation-based example is given to illustrate the effectiveness of the theoretical result.
format Journal
author Vu Phat
Piyapong Niamsup
Mai V. Thuan
author_facet Vu Phat
Piyapong Niamsup
Mai V. Thuan
author_sort Vu Phat
title A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay
title_short A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay
title_full A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay
title_fullStr A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay
title_full_unstemmed A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay
title_sort new design method for observer-based control of nonlinear fractional-order systems with time-variable delay
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081905806&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/68408
_version_ 1681426814626430976

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