Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator

Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator

The design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employi...

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Main Authors: Hafsaa Rachid, Ouarda Lamrabet, El Houssaine Tissir
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Symmetry
Subjects:
delta operator system
actuator saturation
anti-windup compensator
scaled small gain theorem
Online Access:https://www.mdpi.com/2073-8994/11/9/1084
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spelling doaj-ee8f28a2bc43445e804565460be639ce2020-11-25T02:14:11ZengMDPI AGSymmetry2073-89942019-08-01119108410.3390/sym11091084sym11091084Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup CompensatorHafsaa Rachid0Ouarda Lamrabet1El Houssaine Tissir2LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, University of Sidi Mohammed Ben Abdellah, Fes B.P. 1796, Fes-Atlas 30000, MoroccoLESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, University of Sidi Mohammed Ben Abdellah, Fes B.P. 1796, Fes-Atlas 30000, MoroccoLESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, University of Sidi Mohammed Ben Abdellah, Fes B.P. 1796, Fes-Atlas 30000, MoroccoThe design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employing the scaled small-gain theorem, the Lyapunov−Krasovskii functional, and Wirtinger’s integral inequality, sufficient conditions for the synthesis of an anti-windup compensator are presented in the form of linear matrix inequalities (LMIs). The estimated domain of attraction is maximized by an optimization algorithm. Numerical examples are studied to show the merits of the proposed technique.https://www.mdpi.com/2073-8994/11/9/1084delta operator systemactuator saturationanti-windup compensatorscaled small gain theorem
collection DOAJ
language English
format Article
sources DOAJ
author Hafsaa Rachid
Ouarda Lamrabet
El Houssaine Tissir
spellingShingle Hafsaa Rachid
Ouarda Lamrabet
El Houssaine Tissir
Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator
Symmetry
delta operator system
actuator saturation
anti-windup compensator
scaled small gain theorem
author_facet Hafsaa Rachid
Ouarda Lamrabet
El Houssaine Tissir
author_sort Hafsaa Rachid
title Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator
title_short Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator
title_full Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator
title_fullStr Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator
title_full_unstemmed Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator
title_sort stabilization of delta operator systems with actuator saturation via an anti-windup compensator
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2019-08-01
description The design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employing the scaled small-gain theorem, the Lyapunov−Krasovskii functional, and Wirtinger’s integral inequality, sufficient conditions for the synthesis of an anti-windup compensator are presented in the form of linear matrix inequalities (LMIs). The estimated domain of attraction is maximized by an optimization algorithm. Numerical examples are studied to show the merits of the proposed technique.
topic delta operator system
actuator saturation
anti-windup compensator
scaled small gain theorem
url https://www.mdpi.com/2073-8994/11/9/1084
work_keys_str_mv AT hafsaarachid stabilizationofdeltaoperatorsystemswithactuatorsaturationviaanantiwindupcompensator
AT ouardalamrabet stabilizationofdeltaoperatorsystemswithactuatorsaturationviaanantiwindupcompensator
AT elhoussainetissir stabilizationofdeltaoperatorsystemswithactuatorsaturationviaanantiwindupcompensator
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