Reset Control of Parallel MISO Systems

The proportional–integral plus Clegg integrator (PI + CI) controller is a hybrid extension of the proportional–integral (PI) controller that is able to overcome fundamental limitations of the linear and time-invariant control systems, potentially obtaining faster responses without increasing oversho...

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Main Authors: José Francisco Sáez, Alfonso Baños
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/15/1823
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author José Francisco Sáez
Alfonso Baños
author_facet José Francisco Sáez
Alfonso Baños
author_sort José Francisco Sáez
collection DOAJ
description The proportional–integral plus Clegg integrator (PI + CI) controller is a hybrid extension of the proportional–integral (PI) controller that is able to overcome fundamental limitations of the linear and time-invariant control systems, potentially obtaining faster responses without increasing overshooting. This work focused on the analysis and design of PI + CI controllers and reset controllers in general, for the case of parallel multiple-input single-output (MISO) systems, extending previous design methods developed for the single-input single-output (SISO) case. Several design strategies were developed: one for first-order MISO plants achieving a flat response with a finite settling time, and for second-order MISO plants obtaining a fast response with a reduced overshoot and settling time in comparison with non-hybrid strategies. Several case studies were also developed to illustrate the potential of the proposed methods.
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spelling doaj.art-5906eb71bb62429692fa1fb48f8f19df2023-11-22T05:57:13ZengMDPI AGMathematics2227-73902021-08-01915182310.3390/math9151823Reset Control of Parallel MISO SystemsJosé Francisco Sáez0Alfonso Baños1Departamento de Informática y Sistemas, Universidad de Murcia, 30100 Murcia, SpainDepartamento de Informática y Sistemas, Universidad de Murcia, 30100 Murcia, SpainThe proportional–integral plus Clegg integrator (PI + CI) controller is a hybrid extension of the proportional–integral (PI) controller that is able to overcome fundamental limitations of the linear and time-invariant control systems, potentially obtaining faster responses without increasing overshooting. This work focused on the analysis and design of PI + CI controllers and reset controllers in general, for the case of parallel multiple-input single-output (MISO) systems, extending previous design methods developed for the single-input single-output (SISO) case. Several design strategies were developed: one for first-order MISO plants achieving a flat response with a finite settling time, and for second-order MISO plants obtaining a fast response with a reduced overshoot and settling time in comparison with non-hybrid strategies. Several case studies were also developed to illustrate the potential of the proposed methods.https://www.mdpi.com/2227-7390/9/15/1823reset controlhybrid control systemscontrol designPI controlnonlinear control systemsMIMO
spellingShingle José Francisco Sáez
Alfonso Baños
Reset Control of Parallel MISO Systems
Mathematics
reset control
hybrid control systems
control design
PI control
nonlinear control systems
MIMO
title Reset Control of Parallel MISO Systems
title_full Reset Control of Parallel MISO Systems
title_fullStr Reset Control of Parallel MISO Systems
title_full_unstemmed Reset Control of Parallel MISO Systems
title_short Reset Control of Parallel MISO Systems
title_sort reset control of parallel miso systems
topic reset control
hybrid control systems
control design
PI control
nonlinear control systems
MIMO
url https://www.mdpi.com/2227-7390/9/15/1823
work_keys_str_mv AT josefranciscosaez resetcontrolofparallelmisosystems
AT alfonsobanos resetcontrolofparallelmisosystems