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Article: Stable model reference adaptive fuzzy control of a class of nonlinear systems

TitleStable model reference adaptive fuzzy control of a class of nonlinear systems
Authors
KeywordsFuzzy Control
Model Reference Adaptive Control
Persistent Excitation
Stability
Issue Date2001
Citation
Ieee Transactions On Fuzzy Systems, 2001, v. 9 n. 4, p. 624-636 How to Cite?
AbstractIn this paper, we propose a new adaptive fuzzy control scheme called model reference adaptive fuzzy control (MRAFC). The MRAFC scheme employs a reference model to provide closed-loop performance feedback for generating or modifying a fuzzy controller's knowledge base. The MRAFC scheme grew from ideas in conventional model reference adaptive control (MRAC). The MARFC scheme is developed to perform adaptive feedback linearization to a class of nonlinear systems. A class of fuzzy controllers, which can be expressed in an explicit form, is used as the primary controller. Based on Lyapunov's second method, we have developed MARFC schemes and derived fuzzy rule adaptive laws. Hence, not only the stability of the system can be assured but also the performance, such as the issues of robustness and parameter convergence, of the MRAFC system can he analyzed explicitly. We showed that in the case of no modeling error, the state error converges to zero asymptotically. In the case that persistent excitation is satisfied, we showed that the MRAFC system is asymptotically stable. By considering the periodic signal as reference input signal, we showed that the square wave can make the MRAFC system be persistently excited. The feasibility of applying these techniques has been demonstrated by considering the control of an inverted pendulum in following a reference model response.
Persistent Identifierhttp://hdl.handle.net/10722/188701
ISSN
2015 Impact Factor: 6.701
2015 SCImago Journal Rankings: 5.800
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorKoo, TJen_US
dc.date.accessioned2013-09-03T04:13:35Z-
dc.date.available2013-09-03T04:13:35Z-
dc.date.issued2001en_US
dc.identifier.citationIeee Transactions On Fuzzy Systems, 2001, v. 9 n. 4, p. 624-636en_US
dc.identifier.issn1063-6706en_US
dc.identifier.urihttp://hdl.handle.net/10722/188701-
dc.description.abstractIn this paper, we propose a new adaptive fuzzy control scheme called model reference adaptive fuzzy control (MRAFC). The MRAFC scheme employs a reference model to provide closed-loop performance feedback for generating or modifying a fuzzy controller's knowledge base. The MRAFC scheme grew from ideas in conventional model reference adaptive control (MRAC). The MARFC scheme is developed to perform adaptive feedback linearization to a class of nonlinear systems. A class of fuzzy controllers, which can be expressed in an explicit form, is used as the primary controller. Based on Lyapunov's second method, we have developed MARFC schemes and derived fuzzy rule adaptive laws. Hence, not only the stability of the system can be assured but also the performance, such as the issues of robustness and parameter convergence, of the MRAFC system can he analyzed explicitly. We showed that in the case of no modeling error, the state error converges to zero asymptotically. In the case that persistent excitation is satisfied, we showed that the MRAFC system is asymptotically stable. By considering the periodic signal as reference input signal, we showed that the square wave can make the MRAFC system be persistently excited. The feasibility of applying these techniques has been demonstrated by considering the control of an inverted pendulum in following a reference model response.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Fuzzy Systemsen_US
dc.subjectFuzzy Controlen_US
dc.subjectModel Reference Adaptive Controlen_US
dc.subjectPersistent Excitationen_US
dc.subjectStabilityen_US
dc.titleStable model reference adaptive fuzzy control of a class of nonlinear systemsen_US
dc.typeArticleen_US
dc.identifier.emailKoo, TJ: john.koo@siat.ac.cnen_US
dc.identifier.authorityKoo, TJ=rp01787en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/91.940973en_US
dc.identifier.scopuseid_2-s2.0-0035416246en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035416246&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume9en_US
dc.identifier.issue4en_US
dc.identifier.spage624en_US
dc.identifier.epage636en_US
dc.identifier.isiWOS:000170526400013-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridKoo, TJ=7005428590en_US

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