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On pole structure assignment in linear systems
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SYSNO ASEP 0324380 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title On pole structure assignment in linear systems Title O přiřazení struktury pólů lineárním systémům Author(s) Loiseau, J.-J. (FR)
Zagalak, Petr (UTIA-B) RIDSource Title International Journal of Control. - : Taylor & Francis - ISSN 0020-7179
Roč. 82, č. 7 (2009), s. 1179-1192Number of pages 14 s. Publication form www - www Language eng - English Country GB - United Kingdom Keywords linear systems ; linear state feedback ; pole structure assignment Subject RIV BC - Control Systems Theory R&D Projects GA102/07/1596 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) DOI 10.1080/00207170802400954 Annotation The problem of pole structure assignment (PSA) by state feedback in implicit, linear and uncontrollable systems is discussed in the article. It is shown that the problem is solvable if the system is regularisable. Then necessary and sufficient conditions for characteristic polynomial assignment are established. In the case of PSA (invariant polynomials assignment) just necessary conditions have been obtained. But it turns out that these conditions are also sufficient in some special cases. This happens, for example, when the system does not possess any non-proper controllability indexes. A possible application of the achieved results to modelling a constrained movement of a robot arm is outlined, too. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2009
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