Power Series Solution of the Hamilton-Jacobi-Bellman Equation for DAE Models with a Discounted Cost
2008 (English)In: Proceedings of the 47th IEEE Conference on Decision and Control, 2008, 4761-4766 p.Conference paper (Refereed)
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
2008. 4761-4766 p.
Optimal control, Series solution, Discounted cost, DAE
Engineering and Technology Control Engineering
IdentifiersURN: urn:nbn:se:liu:diva-44426DOI: 10.1109/CDC.2008.4739422Local ID: 76608ISBN: 978-1-4244-3124-3ISBN: 978-1-4244-3123-6OAI: oai:DiVA.org:liu-44426DiVA: diva2:265288
47th IEEE Conference on Decision and Control, Cancun, Mexico, December, 2008