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Conference Paper: ANALYSIS OF THE POLEZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS.
Title  ANALYSIS OF THE POLEZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS. 

Authors  
Issue Date  1986 
Citation  Proceedings Of The American Control Conference, 1986, p. 16991704 How to Cite? 
Abstract  A study of the polezero 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 singleloop (SISO) case the corresponding (unique) H infinity optimal controller never requires more than n1 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 Identifier  http://hdl.handle.net/10722/158003 
ISSN 
DC Field  Value  Language 

dc.contributor.author  Limebeer, DJN  en_US 
dc.contributor.author  Hung, YS  en_US 
dc.date.accessioned  20120808T08:57:40Z   
dc.date.available  20120808T08:57:40Z   
dc.date.issued  1986  en_US 
dc.identifier.citation  Proceedings Of The American Control Conference, 1986, p. 16991704  en_US 
dc.identifier.issn  07431619  en_US 
dc.identifier.uri  http://hdl.handle.net/10722/158003   
dc.description.abstract  A study of the polezero 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 singleloop (SISO) case the corresponding (unique) H infinity optimal controller never requires more than n1 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.language  eng  en_US 
dc.relation.ispartof  Proceedings of the American Control Conference  en_US 
dc.title  ANALYSIS OF THE POLEZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS.  en_US 
dc.type  Conference_Paper  en_US 
dc.identifier.email  Hung, YS:yshung@eee.hku.hk  en_US 
dc.identifier.authority  Hung, YS=rp00220  en_US 
dc.description.nature  link_to_subscribed_fulltext  en_US 
dc.identifier.scopus  eid_2s2.00022576397  en_US 
dc.identifier.spage  1699  en_US 
dc.identifier.epage  1704  en_US 
dc.publisher.place  United States  en_US 
dc.identifier.scopusauthorid  Limebeer, DJN=7006316087  en_US 
dc.identifier.scopusauthorid  Hung, YS=8091656200  en_US 