A set oriented approach to optimal feedback stabilization

Lars Grüne; Oliver Junge

doi:10.1016/j.sysconle.2004.08.005

A set oriented approach to optimal feedback stabilization

Lars Grüne, Oliver Junge

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

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.

Original language	English
Pages (from-to)	169-180
Number of pages	12
Journal	Systems and Control Letters
Volume	54
Issue number	2
DOIs	https://doi.org/10.1016/j.sysconle.2004.08.005
State	Published - Feb 2005
Externally published	Yes

Keywords

Feedback stabilization
Nonlinear control system
Optimal control
Set oriented numerics
Shortest path

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10.1016/j.sysconle.2004.08.005

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title = "A set oriented approach to optimal feedback stabilization",

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.",

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AB - 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.

KW - Feedback stabilization

KW - Nonlinear control system

KW - Optimal control

KW - Set oriented numerics

KW - Shortest path

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VL - 54

SP - 169

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JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

A set oriented approach to optimal feedback stabilization

Abstract

Keywords

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