Applying the Simplex Method to Design the Optimal Parameters of a Sliding Mode Controller for a System With Input Saturation and Unknown Disturbance Bound

Sliding mode controllers have wide practical applications due to their simple structure and robustness to disturbance. Although various sliding mode controllers have been proposed, most relevant studies have only investigated the conditions required to stabilize the system. For example, system stabi...

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Autores principales:	Chyun-Chau Fuh, Hsun-Heng Tsai
Formato:	article
Lenguaje:	EN
Publicado:	IEEE 2021
Materias:	Integral sliding mode controller magnetic levitation system optimal control optimization method saturation simplex method Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/ee509954ca8648a4a87d1306dcc418f5
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id	oai:doaj.org-article:ee509954ca8648a4a87d1306dcc418f5
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spelling	oai:doaj.org-article:ee509954ca8648a4a87d1306dcc418f52021-11-18T00:10:09ZApplying the Simplex Method to Design the Optimal Parameters of a Sliding Mode Controller for a System With Input Saturation and Unknown Disturbance Bound2169-353610.1109/ACCESS.2021.3117030https://doaj.org/article/ee509954ca8648a4a87d1306dcc418f52021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9555584/https://doaj.org/toc/2169-3536Sliding mode controllers have wide practical applications due to their simple structure and robustness to disturbance. Although various sliding mode controllers have been proposed, most relevant studies have only investigated the conditions required to stabilize the system. For example, system stability can be guaranteed if the parameters in the control law satisfy specific inequalities or boundary conditions. However, the control power of a real system has a saturation limit, which increases the complexity of the system. Moreover, even if a stable controller is identified, the response performance of the system may not achieve the expected results. Therefore, the determination of the optimal parameters is a key step in designing a sliding mode controller. This paper proposes an error-integral-type sliding mode controller whose main characteristic is that irrespective of the system order, it only needs to determine three key parameters. We used the Nelder–Mead simplex method to assist designers in searching for optimal controller parameters more efficiently, even when the real system has the limitation of input saturation and the disturbance bound is unknown. Finally, we performed numerical simulations on a magnetic levitation system to demonstrate the feasibility and effectiveness of the proposed method.Chyun-Chau FuhHsun-Heng TsaiIEEEarticleIntegral sliding mode controllermagnetic levitation systemoptimal controloptimization methodsaturationsimplex methodElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 149100-149109 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Integral sliding mode controller magnetic levitation system optimal control optimization method saturation simplex method Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Integral sliding mode controller magnetic levitation system optimal control optimization method saturation simplex method Electrical engineering. Electronics. Nuclear engineering TK1-9971 Chyun-Chau Fuh Hsun-Heng Tsai Applying the Simplex Method to Design the Optimal Parameters of a Sliding Mode Controller for a System With Input Saturation and Unknown Disturbance Bound
description	Sliding mode controllers have wide practical applications due to their simple structure and robustness to disturbance. Although various sliding mode controllers have been proposed, most relevant studies have only investigated the conditions required to stabilize the system. For example, system stability can be guaranteed if the parameters in the control law satisfy specific inequalities or boundary conditions. However, the control power of a real system has a saturation limit, which increases the complexity of the system. Moreover, even if a stable controller is identified, the response performance of the system may not achieve the expected results. Therefore, the determination of the optimal parameters is a key step in designing a sliding mode controller. This paper proposes an error-integral-type sliding mode controller whose main characteristic is that irrespective of the system order, it only needs to determine three key parameters. We used the Nelder–Mead simplex method to assist designers in searching for optimal controller parameters more efficiently, even when the real system has the limitation of input saturation and the disturbance bound is unknown. Finally, we performed numerical simulations on a magnetic levitation system to demonstrate the feasibility and effectiveness of the proposed method.
format	article
author	Chyun-Chau Fuh Hsun-Heng Tsai
author_facet	Chyun-Chau Fuh Hsun-Heng Tsai
author_sort	Chyun-Chau Fuh
title	Applying the Simplex Method to Design the Optimal Parameters of a Sliding Mode Controller for a System With Input Saturation and Unknown Disturbance Bound
title_short	Applying the Simplex Method to Design the Optimal Parameters of a Sliding Mode Controller for a System With Input Saturation and Unknown Disturbance Bound
title_full	Applying the Simplex Method to Design the Optimal Parameters of a Sliding Mode Controller for a System With Input Saturation and Unknown Disturbance Bound
title_fullStr	Applying the Simplex Method to Design the Optimal Parameters of a Sliding Mode Controller for a System With Input Saturation and Unknown Disturbance Bound
title_full_unstemmed	Applying the Simplex Method to Design the Optimal Parameters of a Sliding Mode Controller for a System With Input Saturation and Unknown Disturbance Bound
title_sort	applying the simplex method to design the optimal parameters of a sliding mode controller for a system with input saturation and unknown disturbance bound
publisher	IEEE
publishDate	2021
url	https://doaj.org/article/ee509954ca8648a4a87d1306dcc418f5
work_keys_str_mv	AT chyunchaufuh applyingthesimplexmethodtodesigntheoptimalparametersofaslidingmodecontrollerforasystemwithinputsaturationandunknowndisturbancebound AT hsunhengtsai applyingthesimplexmethodtodesigntheoptimalparametersofaslidingmodecontrollerforasystemwithinputsaturationandunknowndisturbancebound
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Applying the Simplex Method to Design the Optimal Parameters of a Sliding Mode Controller for a System With Input Saturation and Unknown Disturbance Bound

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