Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005547
URN to cite this document: urn:nbn:de:bvb:703-epub-5547-4

Title data

Grüne, Lars ; Junge, Oliver:
Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property.
Bayreuth , 2007

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Abstract

We present an approximate optimization approach to the computation of stabilizing feedback laws using a partitioning of the state space and a corresponding approximation of the optimal value function of the problem. By including the discretization errors into the optimal control formulation we are able to compute approximate optimal value functions which preserve the Lyapunov function property and corresponding optimally stabilizing feedback laws which are constant on each partition element. The actual computation uses efficient graph theoretic algorithms.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erscheint in: 46th IEEE Conference on Decision and Control. - Piscataway, NJ, USA : IEEE Service Center , 2007 . - S. 702-707 DOI: https://doi.org/10.1109/CDC.2007.4434428
DDC Subjects:	500 Science 500 Science > 510 Mathematics
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-5547-4
Date Deposited:	19 May 2021 06:33
Last Modified:	11 Jun 2021 08:45
URI:	https://epub.uni-bayreuth.de/id/eprint/5547

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