Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output Systems

The regulation of a disturbed output can be improved when several manipulated inputs are available. A popular choice in these cases is the series control scheme, characterized by (1) a sequential intervention of loops and (2) faster loops being reset by slower loops, to keep their control action aro...

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Main Authors:	Montserrat Gil-Martínez, Javier Rico-Azagra, Jorge Elso
Format:	Article
Language:	English
Published:	Hindawi Limited 2018-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2018/7531260

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spelling	doaj-049413c082a0440995aee9640b8d6b802020-11-24T21:29:57ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/75312607531260Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output SystemsMontserrat Gil-Martínez0Javier Rico-Azagra1Jorge Elso2Electrical Engineering Department, University of La Rioja, San José de Calasanz 31, 26004 Logroño, SpainElectrical Engineering Department, University of La Rioja, San José de Calasanz 31, 26004 Logroño, SpainDepartment of Engineering, Universidad Pública de Navarra, 31006 Pamplona, SpainThe regulation of a disturbed output can be improved when several manipulated inputs are available. A popular choice in these cases is the series control scheme, characterized by (1) a sequential intervention of loops and (2) faster loops being reset by slower loops, to keep their control action around convenient values. This paper tackles the problem from the frequency-domain perspective. First, the working frequencies for each loop are determined and closed-loop specifications are defined. Then, Quantitative Feedback Theory (QFT) bounds are computed for each loop, and a sequential loop-shaping of controllers takes place. The obtained controllers are placed in a new series architecture, which unlike the classical series architecture only requires one controller with integral action. The benefits of the method are greater as the number of control inputs grow. A continuous stirred tank reactor (CSTR) is presented as an application example.http://dx.doi.org/10.1155/2018/7531260
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Montserrat Gil-Martínez Javier Rico-Azagra Jorge Elso
spellingShingle	Montserrat Gil-Martínez Javier Rico-Azagra Jorge Elso Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output Systems Mathematical Problems in Engineering
author_facet	Montserrat Gil-Martínez Javier Rico-Azagra Jorge Elso
author_sort	Montserrat Gil-Martínez
title	Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output Systems
title_short	Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output Systems
title_full	Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output Systems
title_fullStr	Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output Systems
title_full_unstemmed	Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output Systems
title_sort	frequency domain design of a series structure of robust controllers for multi-input single-output systems
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2018-01-01
description	The regulation of a disturbed output can be improved when several manipulated inputs are available. A popular choice in these cases is the series control scheme, characterized by (1) a sequential intervention of loops and (2) faster loops being reset by slower loops, to keep their control action around convenient values. This paper tackles the problem from the frequency-domain perspective. First, the working frequencies for each loop are determined and closed-loop specifications are defined. Then, Quantitative Feedback Theory (QFT) bounds are computed for each loop, and a sequential loop-shaping of controllers takes place. The obtained controllers are placed in a new series architecture, which unlike the classical series architecture only requires one controller with integral action. The benefits of the method are greater as the number of control inputs grow. A continuous stirred tank reactor (CSTR) is presented as an application example.
url	http://dx.doi.org/10.1155/2018/7531260
work_keys_str_mv	AT montserratgilmartinez frequencydomaindesignofaseriesstructureofrobustcontrollersformultiinputsingleoutputsystems AT javierricoazagra frequencydomaindesignofaseriesstructureofrobustcontrollersformultiinputsingleoutputsystems AT jorgeelso frequencydomaindesignofaseriesstructureofrobustcontrollersformultiinputsingleoutputsystems
_version_	1725964750139949056

Frequency Domain Design of a Series Structure of Robust Controllers for Multi-Input Single-Output Systems

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