Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor

Unfortunately, the major group of the systems in industry has nonlinear behavior and control of such processes with conventional control approaches with fixed parameters causes problems and suboptimal or unstable control results. An adaptive control is one way to how we can cope with nonlinearity of...

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Main Authors: Jiri Vojtesek, Petr Dostal
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2015/389273
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author Jiri Vojtesek
Petr Dostal
author_facet Jiri Vojtesek
Petr Dostal
author_sort Jiri Vojtesek
collection DOAJ
description Unfortunately, the major group of the systems in industry has nonlinear behavior and control of such processes with conventional control approaches with fixed parameters causes problems and suboptimal or unstable control results. An adaptive control is one way to how we can cope with nonlinearity of the system. This contribution compares classic adaptive control and its modification with Wiener system. This configuration divides nonlinear controller into the dynamic linear part and the static nonlinear part. The dynamic linear part is constructed with the use of polynomial synthesis together with the pole-placement method and the spectral factorization. The static nonlinear part uses static analysis of the controlled plant for introducing the mathematical nonlinear description of the relation between the controlled output and the change of the control input. Proposed controller is tested by the simulations on the mathematical model of the continuous stirred-tank reactor with cooling in the jacket as a typical nonlinear system.
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record_format Article
series The Scientific World Journal
spelling doaj-art-25069139141b4a2c8883be2a2f4857112025-02-03T01:32:50ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/389273389273Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank ReactorJiri Vojtesek0Petr Dostal1Faculty of Applied Informatics, Tomas Bata University in Zlin, Nam. T.G. Masaryka 5555, 760 01 Zlin, Czech RepublicFaculty of Applied Informatics, Tomas Bata University in Zlin, Nam. T.G. Masaryka 5555, 760 01 Zlin, Czech RepublicUnfortunately, the major group of the systems in industry has nonlinear behavior and control of such processes with conventional control approaches with fixed parameters causes problems and suboptimal or unstable control results. An adaptive control is one way to how we can cope with nonlinearity of the system. This contribution compares classic adaptive control and its modification with Wiener system. This configuration divides nonlinear controller into the dynamic linear part and the static nonlinear part. The dynamic linear part is constructed with the use of polynomial synthesis together with the pole-placement method and the spectral factorization. The static nonlinear part uses static analysis of the controlled plant for introducing the mathematical nonlinear description of the relation between the controlled output and the change of the control input. Proposed controller is tested by the simulations on the mathematical model of the continuous stirred-tank reactor with cooling in the jacket as a typical nonlinear system.http://dx.doi.org/10.1155/2015/389273
spellingShingle Jiri Vojtesek
Petr Dostal
Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor
The Scientific World Journal
title Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor
title_full Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor
title_fullStr Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor
title_full_unstemmed Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor
title_short Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor
title_sort nonlinear versus ordinary adaptive control of continuous stirred tank reactor
url http://dx.doi.org/10.1155/2015/389273
work_keys_str_mv AT jirivojtesek nonlinearversusordinaryadaptivecontrolofcontinuousstirredtankreactor
AT petrdostal nonlinearversusordinaryadaptivecontrolofcontinuousstirredtankreactor