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Control of linear systems subject to time-domain constraints with polynomial pole placement and LMIs
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SYSNO ASEP 0411512 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Control of linear systems subject to time-domain constraints with polynomial pole placement and LMIs Title Řízení lineárních systémů s omezeními v časové oblasti pomocí polynomiálního umístění pólů a LMI Author(s) Henrion, D. (FR)
Tarbouriech, S. (FR)
Kučera, Vladimír (UTIA-B) RID, ORCIDSource Title IEEE Transactions on Automatic Control. - : Institute of Electrical and Electronics Engineers - ISSN 0018-9286
Roč. 50, č. 9 (2005), s. 1360-1364Number of pages 5 s. Language eng - English Country US - United States Keywords linear matrix inequality (LMI) ; linear systems ; pole placement ; polynomials ; time-domain constraints Subject RIV BC - Control Systems Theory R&D Projects 1M0567 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA102/05/0011 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) Annotation This note focuses on the control of continuous-time linear systems subject to time-domain constraints (input amplitude limitation, outputs overshoot)on closed-loop signals. Using recent results on positive polynomials, it is shown that finding a Youla-Kučera polynomial parameter of fixed degree (hence, a controller of fixed order) such that time-domain constraints are satisfied ammounts to solving a convex linear matrix inequality (LMI)optimization problem. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2006
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