Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems

Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems

This paper investigates the problem of adaptive robust simultaneous stabilization (ARSS) of two dissipative Hamiltonian systems (DHSs), and proposes a number of results on the controller parameterization design. Firstly, an adaptive H∞ control design approach is presented by using the dissipative Ha...

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Main Authors: Cao Zhong, Hou Xiaorong, Zhao Wenjing
Format: Article
Language:English
Published: Polish Academy of Sciences 2017-12-01
Series:Archives of Control Sciences
Subjects:
ARSS control
DHSs
symbolic computation
controller parameterization
tuning parameters
Online Access:http://www.degruyter.com/view/j/acsc.2017.27.issue-4/acsc-2017-0030/acsc-2017-0030.xml?format=INT
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spelling doaj-c662edac2efe4738b8297af69d64535d2020-11-25T03:23:48ZengPolish Academy of SciencesArchives of Control Sciences2300-26112017-12-0127450552510.1515/acsc-2017-0030acsc-2017-0030Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systemsCao Zhong0Hou Xiaorong1Zhao Wenjing2School of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, China and also with Guangdong Provincial Engineering and Technology Research Center for Mathematical Education Software, Guangzhou, 510006, ChinaSchool of Energy Science and Engineering, University of Electronic Science and Technology of China611731, Chengdu, ChinaLab Center, Guangzhou University, Guangzhou510006, ChinaThis paper investigates the problem of adaptive robust simultaneous stabilization (ARSS) of two dissipative Hamiltonian systems (DHSs), and proposes a number of results on the controller parameterization design. Firstly, an adaptive H∞ control design approach is presented by using the dissipative Hamiltonian structural for the case that there are both external disturbances and parametric uncertainties in two DHSs. Secondly, an algorithm for solving tuning parameters of the controller is proposed using symbolic computation. The proposed controller parameterization method avoids solving Hamilton-Jacobi-Issacs (HJI) equations and the obtained controller is easier as compared to some existing ones. Finally, an illustrative example is presented to show that the ARSS controller obtained in this paper works very well.http://www.degruyter.com/view/j/acsc.2017.27.issue-4/acsc-2017-0030/acsc-2017-0030.xml?format=INTARSS controlDHSssymbolic computationcontroller parameterizationtuning parameters
collection DOAJ
language English
format Article
sources DOAJ
author Cao Zhong
Hou Xiaorong
Zhao Wenjing
spellingShingle Cao Zhong
Hou Xiaorong
Zhao Wenjing
Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems
Archives of Control Sciences
ARSS control
DHSs
symbolic computation
controller parameterization
tuning parameters
author_facet Cao Zhong
Hou Xiaorong
Zhao Wenjing
author_sort Cao Zhong
title Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems
title_short Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems
title_full Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems
title_fullStr Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems
title_full_unstemmed Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems
title_sort adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative hamiltonian systems
publisher Polish Academy of Sciences
series Archives of Control Sciences
issn 2300-2611
publishDate 2017-12-01
description This paper investigates the problem of adaptive robust simultaneous stabilization (ARSS) of two dissipative Hamiltonian systems (DHSs), and proposes a number of results on the controller parameterization design. Firstly, an adaptive H∞ control design approach is presented by using the dissipative Hamiltonian structural for the case that there are both external disturbances and parametric uncertainties in two DHSs. Secondly, an algorithm for solving tuning parameters of the controller is proposed using symbolic computation. The proposed controller parameterization method avoids solving Hamilton-Jacobi-Issacs (HJI) equations and the obtained controller is easier as compared to some existing ones. Finally, an illustrative example is presented to show that the ARSS controller obtained in this paper works very well.
topic ARSS control
DHSs
symbolic computation
controller parameterization
tuning parameters
url http://www.degruyter.com/view/j/acsc.2017.27.issue-4/acsc-2017-0030/acsc-2017-0030.xml?format=INT
work_keys_str_mv AT caozhong adaptiverobustsimultaneousstabilizationcontrollerwithtuningparametersdesignfortwodissipativehamiltoniansystems
AT houxiaorong adaptiverobustsimultaneousstabilizationcontrollerwithtuningparametersdesignfortwodissipativehamiltoniansystems
AT zhaowenjing adaptiverobustsimultaneousstabilizationcontrollerwithtuningparametersdesignfortwodissipativehamiltoniansystems
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