PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting

Simple adaptive control (SAC) is a control method that maintains control performance despite perturbations of a plant. However, there is a problem in that the vibratory output occurs in the transient response when SAC is applied to a vibration system which includes anti-resonance modes. The occurren...

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Autores principales:	Masaya TANEMURA, Yuichi CHIDA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2015
Materias:	simple adaptive control parallel feedforward compensator frequency response fitting descriptor system lmi vibration system Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/fb97821d7bff4be49c373ebb8ea7d744
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spelling	oai:doaj.org-article:fb97821d7bff4be49c373ebb8ea7d7442021-11-26T06:25:42ZPFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting2187-974510.1299/mej.14-00547https://doaj.org/article/fb97821d7bff4be49c373ebb8ea7d7442015-05-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/2/3/2_14-00547/_pdf/-char/enhttps://doaj.org/toc/2187-9745Simple adaptive control (SAC) is a control method that maintains control performance despite perturbations of a plant. However, there is a problem in that the vibratory output occurs in the transient response when SAC is applied to a vibration system which includes anti-resonance modes. The occurrence of the output depends on the structure of SAC and the output is caused by the vibratory input corresponding to the anti-resonance frequency. In order to overcome the problem, a method using an appropriate parallel feedforward compensator (PFC) is proposed. In the proposed method, an effective PFC is designed such that the gain of an augmented system is matched to that of a desired model under the ASPR condition of the augmented system. A design problem is described by LMI/BMI conditions. The problem using LMI/BMI conditions is solved by an iterative procedure. However, the leading coefficient of the PFC must be given a priori in order to guarantee the ASPR property, which provides some restrictions for applications of the proposed method. In the present paper, an improved method to overcome the abovementioned restrictions is proposed using the stability theorem of the descriptor system. The effectiveness of the proposed method is verified through numerical simulations and experiments.Masaya TANEMURAYuichi CHIDAThe Japan Society of Mechanical Engineersarticlesimple adaptive controlparallel feedforward compensatorfrequency response fittingdescriptor systemlmivibration systemMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 2, Iss 3, Pp 14-00547-14-00547 (2015)
institution	DOAJ
collection	DOAJ
language	EN
topic	simple adaptive control parallel feedforward compensator frequency response fitting descriptor system lmi vibration system Mechanical engineering and machinery TJ1-1570
spellingShingle	simple adaptive control parallel feedforward compensator frequency response fitting descriptor system lmi vibration system Mechanical engineering and machinery TJ1-1570 Masaya TANEMURA Yuichi CHIDA PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting
description	Simple adaptive control (SAC) is a control method that maintains control performance despite perturbations of a plant. However, there is a problem in that the vibratory output occurs in the transient response when SAC is applied to a vibration system which includes anti-resonance modes. The occurrence of the output depends on the structure of SAC and the output is caused by the vibratory input corresponding to the anti-resonance frequency. In order to overcome the problem, a method using an appropriate parallel feedforward compensator (PFC) is proposed. In the proposed method, an effective PFC is designed such that the gain of an augmented system is matched to that of a desired model under the ASPR condition of the augmented system. A design problem is described by LMI/BMI conditions. The problem using LMI/BMI conditions is solved by an iterative procedure. However, the leading coefficient of the PFC must be given a priori in order to guarantee the ASPR property, which provides some restrictions for applications of the proposed method. In the present paper, an improved method to overcome the abovementioned restrictions is proposed using the stability theorem of the descriptor system. The effectiveness of the proposed method is verified through numerical simulations and experiments.
format	article
author	Masaya TANEMURA Yuichi CHIDA
author_facet	Masaya TANEMURA Yuichi CHIDA
author_sort	Masaya TANEMURA
title	PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting
title_short	PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting
title_full	PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting
title_fullStr	PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting
title_full_unstemmed	PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting
title_sort	pfc design method for sac based on the stability theorem of the descriptor system and frequency response fitting
publisher	The Japan Society of Mechanical Engineers
publishDate	2015
url	https://doaj.org/article/fb97821d7bff4be49c373ebb8ea7d744
work_keys_str_mv	AT masayatanemura pfcdesignmethodforsacbasedonthestabilitytheoremofthedescriptorsystemandfrequencyresponsefitting AT yuichichida pfcdesignmethodforsacbasedonthestabilitytheoremofthedescriptorsystemandfrequencyresponsefitting
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PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting

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