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 | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Authors | Wang, Z2 Lam, J1 Ma, L3 Bo, Y3 Guo, Z3 | ||||||||||||||
| 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?] DOI: http://dx.doi.org/10.1016/j.jmaa.2010.11.038 | ||||||||||||||
| 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. | ||||||||||||||
| ISSN | 0022-247X 2011 Impact Factor: 1.001 2011 SCImago Journal Rankings: 0.055 | ||||||||||||||
| DOI | http://dx.doi.org/10.1016/j.jmaa.2010.11.038 | ||||||||||||||
| ISI Accession Number ID | WOS:000287223400018
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 | References in Scopus |
| dc.contributor.author | Wang, Z | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| dc.contributor.author | Lam, J | ||||||||||||||
| dc.contributor.author | Ma, L | ||||||||||||||
| dc.contributor.author | Bo, Y | ||||||||||||||
| dc.contributor.author | Guo, Z | ||||||||||||||
| dc.date.accessioned | 2011-09-23T05:49:28Z | ||||||||||||||
| dc.date.available | 2011-09-23T05:49:28Z | ||||||||||||||
| dc.date.issued | 2011 | ||||||||||||||
| 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. | ||||||||||||||
| dc.description.nature | Link_to_subscribed_fulltext | ||||||||||||||
| dc.identifier.citation | Journal Of Mathematical Analysis And Applications, 2011, v. 377 n. 2, p. 645-658 [How to Cite?] DOI: http://dx.doi.org/10.1016/j.jmaa.2010.11.038 | ||||||||||||||
| dc.identifier.citeulike | 8298382 | ||||||||||||||
| dc.identifier.doi | http://dx.doi.org/10.1016/j.jmaa.2010.11.038 | ||||||||||||||
| dc.identifier.epage | 658 | ||||||||||||||
| dc.identifier.hkuros | 196477 | ||||||||||||||
| dc.identifier.isi | WOS:000287223400018
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. | ||||||||||||||
| dc.identifier.issn | 0022-247X 2011 Impact Factor: 1.001 2011 SCImago Journal Rankings: 0.055 | ||||||||||||||
| dc.identifier.issue | 2 | ||||||||||||||
| dc.identifier.scopus | eid_2-s2.0-79251622422 | ||||||||||||||
| dc.identifier.spage | 645 | ||||||||||||||
| dc.identifier.uri | http://hdl.handle.net/10722/139434 | ||||||||||||||
| dc.identifier.volume | 377 | ||||||||||||||
| dc.language | eng | ||||||||||||||
| dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa | ||||||||||||||
| dc.publisher.place | United States | ||||||||||||||
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | ||||||||||||||
| dc.relation.references | References in Scopus | ||||||||||||||
| dc.subject | Degraded measurements | ||||||||||||||
| dc.subject | Dissipative control | ||||||||||||||
| dc.subject | Nonlinear systems | ||||||||||||||
| dc.subject | Stochastic systems | ||||||||||||||
| dc.subject | Variance-constrained control | ||||||||||||||
| dc.title | Variance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements | ||||||||||||||
| dc.type | Article |
Author Affiliations
- The University of Hong Kong
- Brunel University
- Nanjing University of Science and Technology