Truncated Chebyshev series approximation of fuzzy systems for control and nonlinear system identification

Siettos, CI; Bafas, GV; Boudouvis, AG

dc.contributor.author	Siettos, CI	en
dc.contributor.author	Bafas, GV	en
dc.contributor.author	Boudouvis, AG	en
dc.date.accessioned	2014-03-01T01:18:27Z
dc.date.available	2014-03-01T01:18:27Z
dc.date.issued	2002	en
dc.identifier.issn	0165-0114	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15020
dc.subject	Approximation of fuzzy systems	en
dc.subject	Chebyshev series	en
dc.subject	Fuzzy control	en
dc.subject	Nonlinear systems identification	en
dc.subject	Process control	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	Chebyshev approximation	en
dc.subject.other	Fuzzy sets	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear control systems	en
dc.subject.other	Polynomial approximation	en
dc.subject.other	Process control	en
dc.subject.other	Fuzzy controllers	en
dc.subject.other	Fuzzy control	en
dc.title	Truncated Chebyshev series approximation of fuzzy systems for control and nonlinear system identification	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0165-0114(01)00124-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0165-0114(01)00124-5	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	The lack of mathematical models that pertains fuzzy control systems imposes a serious drawback regarding some important tasks such as stability analysis and system identification. For that purpose, the availability of analytical expressions for the fuzzy systems is very important. This paper provides a systematic practical way of approximating fuzzy systems by Chebyshev polynomials, which depend on a finite number of parameters. The proposed methodology is illustrated with two examples: (a) a control problem concerning a tabular reactor which, depending on the operating conditions, may exhibit multiple steady states and (b) the problem of identifying a continuous stirred tank reactor which, at certain values of structural parameters, exhibits stable or unstable steady states or limit cycles. (C) 2002 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Fuzzy Sets and Systems	en
dc.identifier.doi	10.1016/S0165-0114(01)00124-5	en
dc.identifier.isi	ISI:000173797500006	en
dc.identifier.volume	126	en
dc.identifier.issue	1	en
dc.identifier.spage	89	en
dc.identifier.epage	104	en