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Conference Paper: ANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS.

TitleANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS.
Authors
Issue Date1986
Citation
Proceedings Of The American Control Conference, 1986, p. 1699-1704 How to Cite?
AbstractA study of the pole-zero cancellations which occur in a class of H infinity control problems which may be embedded in a given configuration is presented. The class is characterized by the assumption that both P//1 //2 (s) and P//2 //1 (s) are square but not necessarily of the same size. A general bound is desired on the McMillan degree of all controllers which are stabilizing and lead to a closed loop which satisfies parallel R(s) parallel infinity less than equivalent to p (p need not be optimal in the L infinity -norm sense). If the McMillan degree of P(s) given is n it is shown that in the single-loop (SISO) case the corresponding (unique) H infinity -optimal controller never requires more than n-1 states. In the multivariable case, there is a continuum of optimal controllers whose McMillan degree satisfies this same bound, although other controllers with higher McMillan degree exist.
Persistent Identifierhttp://hdl.handle.net/10722/158003
ISSN

 

DC FieldValueLanguage
dc.contributor.authorLimebeer, DJNen_US
dc.contributor.authorHung, YSen_US
dc.date.accessioned2012-08-08T08:57:40Z-
dc.date.available2012-08-08T08:57:40Z-
dc.date.issued1986en_US
dc.identifier.citationProceedings Of The American Control Conference, 1986, p. 1699-1704en_US
dc.identifier.issn0743-1619en_US
dc.identifier.urihttp://hdl.handle.net/10722/158003-
dc.description.abstractA study of the pole-zero cancellations which occur in a class of H infinity control problems which may be embedded in a given configuration is presented. The class is characterized by the assumption that both P//1 //2 (s) and P//2 //1 (s) are square but not necessarily of the same size. A general bound is desired on the McMillan degree of all controllers which are stabilizing and lead to a closed loop which satisfies parallel R(s) parallel infinity less than equivalent to p (p need not be optimal in the L infinity -norm sense). If the McMillan degree of P(s) given is n it is shown that in the single-loop (SISO) case the corresponding (unique) H infinity -optimal controller never requires more than n-1 states. In the multivariable case, there is a continuum of optimal controllers whose McMillan degree satisfies this same bound, although other controllers with higher McMillan degree exist.en_US
dc.languageengen_US
dc.relation.ispartofProceedings of the American Control Conferenceen_US
dc.titleANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS.en_US
dc.typeConference_Paperen_US
dc.identifier.emailHung, YS:yshung@eee.hku.hken_US
dc.identifier.authorityHung, YS=rp00220en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0022576397en_US
dc.identifier.spage1699en_US
dc.identifier.epage1704en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLimebeer, DJN=7006316087en_US
dc.identifier.scopusauthoridHung, YS=8091656200en_US

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