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Article: Robust impulse-eliminating control for descriptor systems

TitleRobust impulse-eliminating control for descriptor systems
Authors
KeywordsControllability
Descriptor Systems
Impulse
Optimization
Robust Control
Issue Date2002
Citation
Dynamics Of Continuous, Discrete And Impulsive Systems Series B: Application And Algorithm, 2002, v. 9 n. 1, p. 13-27 How to Cite?
AbstractIn this paper, problems concerning robust impulse elimination for descriptor systems are considered. First, the concept of impulse margin is studied and based on which an upper bound is provided for the size of unstructured perturbations such that the descriptor system is guaranteed to be impulse-free. It is established that an arbitrarily large impulse margin may be specified provided that the descriptor system is both controllable and observable at infinity in the sense of Rosenbrock. This gives a new interpretation on controllability (observability) at infinity for descriptor systems as a counterpart of the arbitrary finite pole assignment of R-controllable descriptor systems. Then an output-feedback controller is synthesized to eliminate the impulses. It is also shown that a stabilizing state feedback controller can be designed after the impulses are eliminated with a specified perturbation margin against impulsive behaviour. Numerical optimization procedures are provided for maximizing or achieving a certain impulse margin of a descriptor system. Finally, a numerical example is given to illustrate the methodology presented in the paper.
Persistent Identifierhttp://hdl.handle.net/10722/156710
ISSN
2006 Impact Factor: 0.193
2015 SCImago Journal Rankings: 0.563
References

 

DC FieldValueLanguage
dc.contributor.authorZhang, QLen_US
dc.contributor.authorLam, Jen_US
dc.date.accessioned2012-08-08T08:43:38Z-
dc.date.available2012-08-08T08:43:38Z-
dc.date.issued2002en_US
dc.identifier.citationDynamics Of Continuous, Discrete And Impulsive Systems Series B: Application And Algorithm, 2002, v. 9 n. 1, p. 13-27en_US
dc.identifier.issn1492-8760en_US
dc.identifier.urihttp://hdl.handle.net/10722/156710-
dc.description.abstractIn this paper, problems concerning robust impulse elimination for descriptor systems are considered. First, the concept of impulse margin is studied and based on which an upper bound is provided for the size of unstructured perturbations such that the descriptor system is guaranteed to be impulse-free. It is established that an arbitrarily large impulse margin may be specified provided that the descriptor system is both controllable and observable at infinity in the sense of Rosenbrock. This gives a new interpretation on controllability (observability) at infinity for descriptor systems as a counterpart of the arbitrary finite pole assignment of R-controllable descriptor systems. Then an output-feedback controller is synthesized to eliminate the impulses. It is also shown that a stabilizing state feedback controller can be designed after the impulses are eliminated with a specified perturbation margin against impulsive behaviour. Numerical optimization procedures are provided for maximizing or achieving a certain impulse margin of a descriptor system. Finally, a numerical example is given to illustrate the methodology presented in the paper.en_US
dc.languageengen_US
dc.relation.ispartofDynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithmen_US
dc.subjectControllabilityen_US
dc.subjectDescriptor Systemsen_US
dc.subjectImpulseen_US
dc.subjectOptimizationen_US
dc.subjectRobust Controlen_US
dc.titleRobust impulse-eliminating control for descriptor systemsen_US
dc.typeArticleen_US
dc.identifier.emailLam, J:james.lam@hku.hken_US
dc.identifier.authorityLam, J=rp00133en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0347305759en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0347305759&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume9en_US
dc.identifier.issue1en_US
dc.identifier.spage13en_US
dc.identifier.epage27en_US
dc.publisher.placeCanadaen_US
dc.identifier.scopusauthoridZhang, QL=7406719568en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US

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