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Article: Variance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements
Title | Variance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements | ||||||||||||||
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Authors | |||||||||||||||
Keywords | Degraded measurements Dissipative control Nonlinear systems Stochastic systems Variance-constrained control | ||||||||||||||
Issue Date | 2011 | ||||||||||||||
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa | ||||||||||||||
Citation | Journal Of Mathematical Analysis And Applications, 2011, v. 377 n. 2, p. 645-658 How to Cite? | ||||||||||||||
Abstract | This paper is concerned with the variance-constrained dissipative control problem for a class of stochastic nonlinear systems with multiple degraded measurements, where the degraded probability for each sensor is governed by an individual random variable satisfying a certain probabilistic distribution over a given interval. The purpose of the problem is to design an observer-based controller such that, for all possible degraded measurements, the closed-loop system is exponentially mean-square stable and strictly dissipative, while the individual steady-state variance is not more than the pre-specified upper bound constraints. A general framework is established so that the required exponential mean-square stability, dissipativity as well as the variance constraints can be easily enforced. A sufficient condition is given for the solvability of the addressed multiobjective control problem, and the desired observer and controller gains are characterized in terms of the solution to a convex optimization problem that can be easily solved by using the semi-definite programming method. Finally, a numerical example is presented to show the effectiveness and applicability of the proposed algorithm. © 2010 Elsevier Inc. | ||||||||||||||
Persistent Identifier | http://hdl.handle.net/10722/139434 | ||||||||||||||
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.816 | ||||||||||||||
ISI Accession Number ID |
Funding Information: This work was supported in part by the Distinguished Visiting Fellowship of the Royal Academy of Engineering of the UK, the Royal Society of the UK, the GRF HKU 7137/09E, the National Natural Science Foundation of China under Grant 61028008, the International Science and Technology Cooperation Project of China under Grant 2009DFA32050, and the Alexander von Humboldt Foundation of Germany. | ||||||||||||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wang, Z | en_HK |
dc.contributor.author | Lam, J | en_HK |
dc.contributor.author | Ma, L | en_HK |
dc.contributor.author | Bo, Y | en_HK |
dc.contributor.author | Guo, Z | en_HK |
dc.date.accessioned | 2011-09-23T05:49:28Z | - |
dc.date.available | 2011-09-23T05:49:28Z | - |
dc.date.issued | 2011 | en_HK |
dc.identifier.citation | Journal Of Mathematical Analysis And Applications, 2011, v. 377 n. 2, p. 645-658 | en_HK |
dc.identifier.issn | 0022-247X | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/139434 | - |
dc.description.abstract | This paper is concerned with the variance-constrained dissipative control problem for a class of stochastic nonlinear systems with multiple degraded measurements, where the degraded probability for each sensor is governed by an individual random variable satisfying a certain probabilistic distribution over a given interval. The purpose of the problem is to design an observer-based controller such that, for all possible degraded measurements, the closed-loop system is exponentially mean-square stable and strictly dissipative, while the individual steady-state variance is not more than the pre-specified upper bound constraints. A general framework is established so that the required exponential mean-square stability, dissipativity as well as the variance constraints can be easily enforced. A sufficient condition is given for the solvability of the addressed multiobjective control problem, and the desired observer and controller gains are characterized in terms of the solution to a convex optimization problem that can be easily solved by using the semi-definite programming method. Finally, a numerical example is presented to show the effectiveness and applicability of the proposed algorithm. © 2010 Elsevier Inc. | en_HK |
dc.language | eng | en_US |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa | en_HK |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications | en_HK |
dc.subject | Degraded measurements | en_HK |
dc.subject | Dissipative control | en_HK |
dc.subject | Nonlinear systems | en_HK |
dc.subject | Stochastic systems | en_HK |
dc.subject | Variance-constrained control | en_HK |
dc.title | Variance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_HK |
dc.identifier.authority | Lam, J=rp00133 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jmaa.2010.11.038 | en_HK |
dc.identifier.scopus | eid_2-s2.0-79251622422 | en_HK |
dc.identifier.hkuros | 196477 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-79251622422&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 377 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 645 | en_HK |
dc.identifier.epage | 658 | en_HK |
dc.identifier.isi | WOS:000287223400018 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Wang, Z=35231712300 | en_HK |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_HK |
dc.identifier.scopusauthorid | Ma, L=8650414700 | en_HK |
dc.identifier.scopusauthorid | Bo, Y=14824533400 | en_HK |
dc.identifier.scopusauthorid | Guo, Z=7404657490 | en_HK |
dc.identifier.citeulike | 8298382 | - |
dc.identifier.issnl | 0022-247X | - |