An algorithmic method for control structure selection based on the RGA and RIA interaction measures

Kookos, IK; Lygeros, AI

dc.contributor.author	Kookos, IK	en
dc.contributor.author	Lygeros, AI	en
dc.date.accessioned	2014-03-01T01:13:34Z
dc.date.available	2014-03-01T01:13:34Z
dc.date.issued	1998	en
dc.identifier.issn	0263-8762	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12566
dc.subject	Control structure selection	en
dc.subject	Decentralized controllers	en
dc.subject	RGA matrix	en
dc.subject	RIA matrix	en
dc.subject.classification	Engineering, Chemical	en
dc.subject.other	Algorithms	en
dc.subject.other	Constraint theory	en
dc.subject.other	Control system analysis	en
dc.subject.other	Control system synthesis	en
dc.subject.other	Integer programming	en
dc.subject.other	Linear programming	en
dc.subject.other	Matrix algebra	en
dc.subject.other	System stability	en
dc.subject.other	Mixed integer linear programming (MILP)	en
dc.subject.other	Multi input multi output (MIMO) systems	en
dc.subject.other	Relative gain array (RGA) matrix	en
dc.subject.other	Relative interaction array (RIA) matrix	en
dc.subject.other	Decentralized control	en
dc.title	An algorithmic method for control structure selection based on the RGA and RIA interaction measures	en
heal.type	journalArticle	en
heal.identifier.primary	10.1205/026387698525072	en
heal.identifier.secondary	http://dx.doi.org/10.1205/026387698525072	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	A systematic framework for the generation of the most promising control structures for large dimensional systems is proposed in this paper. The new algorithm is based on the main properties of the RGA (Relative Gain Array) and RIA (Relative Interaction Array) matrices and the concepts of interaction, integrity and stability. It is shown that the minimization of the overall interaction in terms of the RIA matrix for multiinput-multioutput systems under several stability and structural constraints can be formulated as a mixed integer linear programming (MILP) problem. In order to demonstrate the usefulness of the proposed algorithm as a rigorous and systematic solution to the problem of the automatic generation of promising control structures, two large scale industrial problems are considered. © Institution of Chemical Engineers.	en
heal.publisher	INST CHEMICAL ENGINEERS	en
heal.journalName	Chemical Engineering Research and Design	en
dc.identifier.doi	10.1205/026387698525072	en
dc.identifier.isi	ISI:000074288100004	en
dc.identifier.volume	76	en
dc.identifier.issue	A4	en
dc.identifier.spage	458	en
dc.identifier.epage	464	en