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Power Series Solution of the Hamilton-Jacobi-Bellman Equation for DAE Models with a Discounted Cost
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2008 (English)Report (Other academic)
Abstract [en]

This paper considers infinite horizon optimal feedback control of nonlinear models with discounted cost. The paper includes two extensions of existing results about optimal feedback control. First, it is proven that for real analytic statespace models, a time-invariant real analytic feedback solution exists, even when the cost function includes a discount factor, provided certain regularity conditions. Second, the result is generalized to nonlinear DAE models. The feedback solution is valid in a neighborhood of the origin. In both cases, explicit formulas for the series expansions of the cost function and control law are given.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2008.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2850
Keyword [en]
Optimal control, Series solution, Discounted cost, DAE
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-56169ISRN: LiTH-ISY-R-2850OAI: oai:DiVA.org:liu-56169DiVA: diva2:316927
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-10-02Bibliographically approved

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Sjöberg, JohanGlad, Torkel

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