A parallel algorithm for optimum monitoring network design in parameter estimation of distributed systems
The design of a network of observation nodes in a spatial domain is addressed. The observations are to be used to estimate unknown parameters of a distributed parameter system. Given a finite number of possible sites at which to locate a sensor, the problem is formulated as the selection of the gaug...
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| Vydané v: | 2013 European Control Conference (ECC) s. 1609 - 1614 |
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| Hlavní autori: | , |
| Médium: | Konferenčný príspevok.. |
| Jazyk: | English |
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01.07.2013
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| Abstract | The design of a network of observation nodes in a spatial domain is addressed. The observations are to be used to estimate unknown parameters of a distributed parameter system. Given a finite number of possible sites at which to locate a sensor, the problem is formulated as the selection of the gauged sites so as to minimize a convex criterion defined on the Fisher information matrix associated with the estimated parameters. The search for an optimal solution to this binary optimization problem is performed through solving a relaxed problem in which a constrained discrete probability distribution on the set of all allowable sites is sought. The main contribution here consists in properly parallelizing this solution using the parallel variable distribution approach. As a result, each processor minimizes a convex function subject to linear constraints through the use of a simplicial decomposition algorithm. The resulting individual solutions are then synchronized by finding their optimal convex combination. |
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| AbstractList | The design of a network of observation nodes in a spatial domain is addressed. The observations are to be used to estimate unknown parameters of a distributed parameter system. Given a finite number of possible sites at which to locate a sensor, the problem is formulated as the selection of the gauged sites so as to minimize a convex criterion defined on the Fisher information matrix associated with the estimated parameters. The search for an optimal solution to this binary optimization problem is performed through solving a relaxed problem in which a constrained discrete probability distribution on the set of all allowable sites is sought. The main contribution here consists in properly parallelizing this solution using the parallel variable distribution approach. As a result, each processor minimizes a convex function subject to linear constraints through the use of a simplicial decomposition algorithm. The resulting individual solutions are then synchronized by finding their optimal convex combination. |
| Author | Baranowski, Przemyslaw Ucinski, Dariusz |
| Author_xml | – sequence: 1 givenname: Dariusz surname: Ucinski fullname: Ucinski, Dariusz email: d.ucinski@issi.uz.zgora.pl organization: Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Zielona Góra, Poland – sequence: 2 givenname: Przemyslaw surname: Baranowski fullname: Baranowski, Przemyslaw email: p.baranowski@ck.uz.zgora.pl organization: Comput. Centre, Univ. of Zielona Gora, Zielona Góra, Poland |
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| Snippet | The design of a network of observation nodes in a spatial domain is addressed. The observations are to be used to estimate unknown parameters of a distributed... |
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| StartPage | 1609 |
| SubjectTerms | Algorithm design and analysis Convex functions Linear programming Mathematical model Optimization Program processors Vectors |
| Title | A parallel algorithm for optimum monitoring network design in parameter estimation of distributed systems |
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