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A set oriented approach to optimal feedback stabilization

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005518
URN to cite this document: urn:nbn:de:bvb:703-epub-5518-4

Title data

Grüne, Lars ; Junge, Oliver:
A set oriented approach to optimal feedback stabilization.
Bayreuth , 2004

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Abstract

We present a numerical construction of an optimal control based feedback law for the stabilization of discrete time nonlinear control systems. The feedback is based on a recently developed numerical solution method for optimal control problems using set oriented and graph theoretic algorithms. We show how this method can be used to construct approximately optimal and stabilizing feedback laws and present an a posteriori error estimation technique for the adaptive generation of the underlying set oriented space discretization.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Erscheint in: Systems & Control Letters. Bd. 54 (Februar 2005) Heft 2 . - S. 169-180; https://doi.org/10.1016/j.sysconle.2004.08.005
Keywords: Feedback stabilization; Nonlinear control system; Optimal control; Set oriented numerics; Shortest path
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-5518-4
Date Deposited: 17 May 2021 10:33
Last Modified: 21 Jun 2021 08:34
URI: https://epub.uni-bayreuth.de/id/eprint/5518
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