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Article: Robust H∞ Control for Discrete Singular Systems with State Delay and Parameter Uncertainty

TitleRobust H∞ Control for Discrete Singular Systems with State Delay and Parameter Uncertainty
Authors
KeywordsDiscrete Singular Systems
Linear Matrix Inequality (Lmi)
Parameter Uncertainty
Robust H∞ Control
Robust Stabilization
State Delay
Issue Date2002
Citation
Dynamics Of Continuous, Discrete And Impulsive Systems Series B: Application And Algorithm, 2002, v. 9 n. 4, p. 539-554 How to Cite?
AbstractThis paper addresses the problems of robust stabilization and robust H∞ control for uncertain discrete singular systems with state delay and parameter uncertainties. The discrete singular delay system under consideration is not necessarily regular. The parameter uncertainties are assumed to be time invariant but norm-bounded. The purpose of the robust stabilization problem is the design of state feedback controllers such that, for all admissible uncertainties, the closed-loop system is regular, causal and stable, while for the robust H∞ control problem, in addition to the above requirements, a prescribed H∞ norm bound constraint is required to be enforced. In terms of non-strict LMIs, sufficient conditions for the solvability of the above problems are presented, and expressions of the desired state feedback controllers are also given. A numerical example is given to demonstrate the application of the proposed method.
Persistent Identifierhttp://hdl.handle.net/10722/156702
ISSN
2006 Impact Factor: 0.193
2015 SCImago Journal Rankings: 0.563
References

 

DC FieldValueLanguage
dc.contributor.authorXu, Sen_US
dc.contributor.authorLam, Jen_US
dc.contributor.authorYang, Cen_US
dc.date.accessioned2012-08-08T08:43:36Z-
dc.date.available2012-08-08T08:43:36Z-
dc.date.issued2002en_US
dc.identifier.citationDynamics Of Continuous, Discrete And Impulsive Systems Series B: Application And Algorithm, 2002, v. 9 n. 4, p. 539-554en_US
dc.identifier.issn1492-8760en_US
dc.identifier.urihttp://hdl.handle.net/10722/156702-
dc.description.abstractThis paper addresses the problems of robust stabilization and robust H∞ control for uncertain discrete singular systems with state delay and parameter uncertainties. The discrete singular delay system under consideration is not necessarily regular. The parameter uncertainties are assumed to be time invariant but norm-bounded. The purpose of the robust stabilization problem is the design of state feedback controllers such that, for all admissible uncertainties, the closed-loop system is regular, causal and stable, while for the robust H∞ control problem, in addition to the above requirements, a prescribed H∞ norm bound constraint is required to be enforced. In terms of non-strict LMIs, sufficient conditions for the solvability of the above problems are presented, and expressions of the desired state feedback controllers are also given. A numerical example is given to demonstrate the application of the proposed method.en_US
dc.languageengen_US
dc.relation.ispartofDynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithmen_US
dc.subjectDiscrete Singular Systemsen_US
dc.subjectLinear Matrix Inequality (Lmi)en_US
dc.subjectParameter Uncertaintyen_US
dc.subjectRobust H∞ Controlen_US
dc.subjectRobust Stabilizationen_US
dc.subjectState Delayen_US
dc.titleRobust H∞ Control for Discrete Singular Systems with State Delay and Parameter Uncertaintyen_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-s2.0-0345672463en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0345672463&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume9en_US
dc.identifier.issue4en_US
dc.identifier.spage539en_US
dc.identifier.epage554en_US
dc.publisher.placeCanadaen_US
dc.identifier.scopusauthoridXu, S=7404438591en_US
dc.identifier.scopusauthoridLam, J=7201973414en_US
dc.identifier.scopusauthoridYang, C=7407027260en_US

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