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A comparison of two Fem-based methods for the solution of the nonlinear output regulation problem
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SYSNO ASEP 0326913 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A comparison of two Fem-based methods for the solution of the nonlinear output regulation problem Title Porovnání dvou metod pro řešení problému nelineární regulace výstupu, které jsou založené na konečných prvcích Author(s) Rehák, Branislav (UTIA-B) RID, ORCID
Čelikovský, Sergej (UTIA-B) RID, ORCID
Ruiz-León, J. (MX)
Orozco-Mora, J. (MX)Number of authors 4 Source Title Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954
Roč. 45, č. 3 (2009), s. 427-444Number of pages 17 s. Publication form sever UTIA - sever UTIA Language eng - English Country CZ - Czech Republic Keywords nonlinear output regulation ; singularly perturbed equation ; byroscope Subject RIV BC - Control Systems Theory R&D Projects GP102/07/P413 GA ČR - Czech Science Foundation (CSF) GA102/08/0186 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000267932600005 Annotation The regulator equation is the fundamental equation whose solution must be found in order to solve the output regulation problem. It is a system of first-order partial differential equations (PDE) combined with an algebraic equation. The classical approach to its solution is to use the Taylor series with undetermined coe±cients. In this contribution, another path is followed: the equation is solved using the finite-element method which is, nevertheless, suitable to solve PDE part only. This paper presents two methods to handle the algebraic condition: the first one is based on iterative minimization of a cost functional defined as the integral of the square of the algebraic expression to be equal to zero. 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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