Optimal control of nonlinear systems with input constraints using linear time varying approximations

We propose a new method to solve input constrained optimal control problems for autonomous nonlinear systems affine in control. We then extend the method to compute the bang-bang control solutions under the symmetric control constraints. The most attractive aspect of the proposed technique is that...

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Bibliographic Details
Main Author:	Mehmet Itik
Format:	Article
Language:	English
Published:	Vilnius University Press 2016-05-01
Series:	Nonlinear Analysis
Subjects:	nonlinear systems input constraints bang-bang control time-varying approximations optimal control
Online Access:	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13477

id	doaj-bc02ce7131c94facbe6ffa58a0eadb2a
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spelling	doaj-bc02ce7131c94facbe6ffa58a0eadb2a2020-11-25T02:04:07ZengVilnius University PressNonlinear Analysis1392-51132335-89632016-05-0121310.15388/NA.2016.3.7Optimal control of nonlinear systems with input constraints using linear time varying approximationsMehmet Itik0Karadeniz Technical University, Turkey We propose a new method to solve input constrained optimal control problems for autonomous nonlinear systems affine in control. We then extend the method to compute the bang-bang control solutions under the symmetric control constraints. The most attractive aspect of the proposed technique is that it enables the use of linear quadratic control theory on the input constrained linear and nonlinear systems. We illustrate the effectiveness of our technique both on linear and nonlinear examples and compare our results with those of the literature. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13477nonlinear systemsinput constraintsbang-bang controltime-varying approximationsoptimal control
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mehmet Itik
spellingShingle	Mehmet Itik Optimal control of nonlinear systems with input constraints using linear time varying approximations Nonlinear Analysis nonlinear systems input constraints bang-bang control time-varying approximations optimal control
author_facet	Mehmet Itik
author_sort	Mehmet Itik
title	Optimal control of nonlinear systems with input constraints using linear time varying approximations
title_short	Optimal control of nonlinear systems with input constraints using linear time varying approximations
title_full	Optimal control of nonlinear systems with input constraints using linear time varying approximations
title_fullStr	Optimal control of nonlinear systems with input constraints using linear time varying approximations
title_full_unstemmed	Optimal control of nonlinear systems with input constraints using linear time varying approximations
title_sort	optimal control of nonlinear systems with input constraints using linear time varying approximations
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2016-05-01
description	We propose a new method to solve input constrained optimal control problems for autonomous nonlinear systems affine in control. We then extend the method to compute the bang-bang control solutions under the symmetric control constraints. The most attractive aspect of the proposed technique is that it enables the use of linear quadratic control theory on the input constrained linear and nonlinear systems. We illustrate the effectiveness of our technique both on linear and nonlinear examples and compare our results with those of the literature.
topic	nonlinear systems input constraints bang-bang control time-varying approximations optimal control
url	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13477
work_keys_str_mv	AT mehmetitik optimalcontrolofnonlinearsystemswithinputconstraintsusinglineartimevaryingapproximations
_version_	1724944572095660032

Optimal control of nonlinear systems with input constraints using linear time varying approximations

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