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An Algebraic Approach to the Control of Spatially Distributed Systems: (2+1)D Case with a Deformable Mirror Example
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SYSNO ASEP 0084178 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title An Algebraic Approach to the Control of Spatially Distributed Systems: (2+1)D Case with a Deformable Mirror Example Title Algebraický přístup k řízení systémů s rozprostřenými parametry: (2+1)D systémy, deformovatelné zrcadlo Author(s) Augusta, Petr (UTIA-B) RID
Hurák, Z. (CZ)
Rogers, E. (GB)Source Title Proceedings of the 2007 International Workshop on Multidimensional (nD) Systems. - Aveiro : Universidade de Aveiro, 2007 - ISBN 978-1-4244-1111-5 - ISBN 1-4244-1112-2 Pages s. 1-5 Number of pages 5 s. Publication form DVD rom - DVD rom Action nDS 2007 Event date 27.06.2007-29.06.2007 VEvent location Aveiro Country PT - Portugal Event type EUR Language eng - English Country PT - Portugal Keywords Distributed-parameter systems ; spatially distributed systems ; multidimensional systems ; multivariate polynomials Subject RIV BC - Control Systems Theory R&D Projects 1M0567 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10750506 - UTIA-B (2005-2011) Annotation In this paper we develop new results on control design for spatially distributed linear systems using n-D systems approach. As a possible application example, we consider a deformable mirror used as a wavefront corrector in adaptive optical system. The first new results consist of stability analysis plus stability tests. This is followed by control law design in a polynomial setting where a Youla-Kučera parametrization of all stabilizing controllers is specialized to the objective of reducing vibrations of the mirror based on minimization of the H_2 system norm. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2010
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