Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach

This paper designs an observer-based controller for switched systems (SSs) with nonlinear dynamics, exogenous disturbances, parametric uncertainties, and time-delay. Based on the multiple Lyapunov–Krasovskii and average dwell time (DT) approaches, some conditions are presented to ensure the robustne...

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Autores principales:	Amin Taghieh, Ardashir Mohammadzadeh, Jafar Tavoosi, Saleh Mobayen, Thaned Rojsiraphisal, Jihad H. Asad, Anton Zhilenkov
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	observer-based controller time-delay parametric uncertainties multiple Lyapunov–Krasovskii average dwell time method LMI Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/32203cb3cda7486cb1b1fa340f450e6a
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spelling	oai:doaj.org-article:32203cb3cda7486cb1b1fa340f450e6a2021-11-25T18:17:40ZObserver-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach10.3390/math92229682227-7390https://doaj.org/article/32203cb3cda7486cb1b1fa340f450e6a2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2968https://doaj.org/toc/2227-7390This paper designs an observer-based controller for switched systems (SSs) with nonlinear dynamics, exogenous disturbances, parametric uncertainties, and time-delay. Based on the multiple Lyapunov–Krasovskii and average dwell time (DT) approaches, some conditions are presented to ensure the robustness and investigate the effect of time-delay, uncertainties, and lag issues between switching times. The control parameters are determined through solving the established linear matrix inequalities (LMIs) under asynchronous switching. A novel LMI-based conditions are suggested to guarantee the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> performance. Finally, the accuracy of the designed observer-based controller is examined by simulations on practical case-study plants.Amin TaghiehArdashir MohammadzadehJafar TavoosiSaleh MobayenThaned RojsiraphisalJihad H. AsadAnton ZhilenkovMDPI AGarticleobserver-based controllertime-delayparametric uncertaintiesmultiple Lyapunov–Krasovskiiaverage dwell time methodLMIMathematicsQA1-939ENMathematics, Vol 9, Iss 2968, p 2968 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	observer-based controller time-delay parametric uncertainties multiple Lyapunov–Krasovskii average dwell time method LMI Mathematics QA1-939
spellingShingle	observer-based controller time-delay parametric uncertainties multiple Lyapunov–Krasovskii average dwell time method LMI Mathematics QA1-939 Amin Taghieh Ardashir Mohammadzadeh Jafar Tavoosi Saleh Mobayen Thaned Rojsiraphisal Jihad H. Asad Anton Zhilenkov Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach
description	This paper designs an observer-based controller for switched systems (SSs) with nonlinear dynamics, exogenous disturbances, parametric uncertainties, and time-delay. Based on the multiple Lyapunov–Krasovskii and average dwell time (DT) approaches, some conditions are presented to ensure the robustness and investigate the effect of time-delay, uncertainties, and lag issues between switching times. The control parameters are determined through solving the established linear matrix inequalities (LMIs) under asynchronous switching. A novel LMI-based conditions are suggested to guarantee the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> performance. Finally, the accuracy of the designed observer-based controller is examined by simulations on practical case-study plants.
format	article
author	Amin Taghieh Ardashir Mohammadzadeh Jafar Tavoosi Saleh Mobayen Thaned Rojsiraphisal Jihad H. Asad Anton Zhilenkov
author_facet	Amin Taghieh Ardashir Mohammadzadeh Jafar Tavoosi Saleh Mobayen Thaned Rojsiraphisal Jihad H. Asad Anton Zhilenkov
author_sort	Amin Taghieh
title	Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach
title_short	Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach
title_full	Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach
title_fullStr	Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach
title_full_unstemmed	Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach
title_sort	observer-based control for nonlinear time-delayed asynchronously switching systems: a new lmi approach
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/32203cb3cda7486cb1b1fa340f450e6a
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Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach

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