FEM-Based Solution of the Regulator Equation Arising from the Nonlinear Output-Regulation Problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F05%3A03111146" target="_blank" >RIV/68407700:21230/05:03111146 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
FEM-Based Solution of the Regulator Equation Arising from the Nonlinear Output-Regulation Problem
Original language description
The merit of the output-regulation problem is to find a feedforward control so that asymptotic tracking of a trajectory generated by an external system (exosystem) is achieved. Then the resulting control consists of the sum of this feedforward and a stabilizing feedback. The crucial point is solution of the regulator equation. It consists of a system of partial differential equations and an algebraic condition. In the proposed article the regulator equation is solved via the finiteelement method. To achieve solvability the system was stabilized at the first stage. Then the regulator equation was built for this stabilized system. The solution of the regulator equation was divided into two parts that were repeated iteratively. First the feedforward control was chosen and the partial differential equations was solved. Then the error was evaluated and a change of the proposed feedforward was carried out so that this error decreases. The results are demonstrated on an example.
Czech name
Není k dispozici
Czech description
Není k dispozici

Project
<a href="/en/project/GA102%2F02%2F0709" target="_blank" >GA102/02/0709: Modern numerical methods for systems, signals and control</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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