A set oriented approach to optimal feedback stabilization

Titelangaben

Grüne, Lars ; Junge, Oliver:
A set oriented approach to optimal feedback stabilization.
In: Systems & Control Letters. Bd. 54 (2005) Heft 2 . - S. 169-180.
ISSN 1872-7956
DOI: https://doi.org/10.1016/j.sysconle.2004.08.005

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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.