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Article: Positive real control for uncertain discrete singular systems with state delay
Title | Positive real control for uncertain discrete singular systems with state delay |
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Authors | |
Keywords | Discrete Singular Systems Linear Matrix Inequality Parameter Uncertainties Positive Real Control State Delay State Feedback |
Issue Date | 2002 |
Citation | Dynamics Of Continuous, Discrete And Impulsive Systems Series B: Application And Algorithm, 2002, v. 9 n. 3, p. 387-402 How to Cite? |
Abstract | This paper is concerned with the problem of positive real control for uncertain discrete singular systems with state delay. The discrete singular system under consideration involves state time delay and unstructured time-invariant norm-bounded parameter uncertainties in both the state and input matrices. The problem we address is the design of state feedback controllers such that, for all admissible uncertainties, the resulting closed-loop system is regular, causal and stable while the closed-loop transfer function is extended strictly positive real. A sufficient condition for the existence of the desired feedback controllers is given in terms of two LMIs. When these LMIs are feasible, the expected state feedback controller can be easily constructed via convex optimization. An illustrative example is given to demonstrate the applicability of the proposed approach. |
Persistent Identifier | http://hdl.handle.net/10722/156704 |
ISSN | 2023 SCImago Journal Rankings: 0.205 |
References |
DC Field | Value | Language |
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dc.contributor.author | Xu, S | en_US |
dc.contributor.author | Lam, J | en_US |
dc.date.accessioned | 2012-08-08T08:43:36Z | - |
dc.date.available | 2012-08-08T08:43:36Z | - |
dc.date.issued | 2002 | en_US |
dc.identifier.citation | Dynamics Of Continuous, Discrete And Impulsive Systems Series B: Application And Algorithm, 2002, v. 9 n. 3, p. 387-402 | en_US |
dc.identifier.issn | 1492-8760 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156704 | - |
dc.description.abstract | This paper is concerned with the problem of positive real control for uncertain discrete singular systems with state delay. The discrete singular system under consideration involves state time delay and unstructured time-invariant norm-bounded parameter uncertainties in both the state and input matrices. The problem we address is the design of state feedback controllers such that, for all admissible uncertainties, the resulting closed-loop system is regular, causal and stable while the closed-loop transfer function is extended strictly positive real. A sufficient condition for the existence of the desired feedback controllers is given in terms of two LMIs. When these LMIs are feasible, the expected state feedback controller can be easily constructed via convex optimization. An illustrative example is given to demonstrate the applicability of the proposed approach. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm | en_US |
dc.subject | Discrete Singular Systems | en_US |
dc.subject | Linear Matrix Inequality | en_US |
dc.subject | Parameter Uncertainties | en_US |
dc.subject | Positive Real Control | en_US |
dc.subject | State Delay | en_US |
dc.subject | State Feedback | en_US |
dc.title | Positive real control for uncertain discrete singular systems with state delay | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-0345982609 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0345982609&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 9 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.spage | 387 | en_US |
dc.identifier.epage | 402 | en_US |
dc.publisher.place | Canada | en_US |
dc.identifier.scopusauthorid | Xu, S=7404438591 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |