On estimation of attraction domain for port-controlled Hamiltonian systems subject to actuator saturation
This paper investigates the estimation of domain of attraction for nonlinear port controlled Hamiltonian （PCH） systems with actuator saturation （AS）. Several conditions are established under which an ellipsoid is contractively invariant, and thus can be employed to find the biggest ellipsoid contain...
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| Published in | Journal of control theory and applications Vol. 10; no. 2; pp. 195 - 200 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
South China University of Technology and Academy of Mathematics and Systems Science, CAS
01.05.2012
School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1672-6340 1993-0623 |
| DOI | 10.1007/s11768-012-9296-6 |
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| Abstract | This paper investigates the estimation of domain of attraction for nonlinear port controlled Hamiltonian （PCH） systems with actuator saturation （AS）. Several conditions are established under which an ellipsoid is contractively invariant, and thus can be employed to find the biggest ellipsoid contained in the domain of attraction. It is shown that the proposed conditions can be expressed in the form of the linear matrix inequalities （LMIs） optimization problem with constraints. Study of an illustrative example shows that the proposed method works very well in estimating the domain of attraction for some classes of nonlinear PCH systems with AS. |
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| AbstractList | This paper investigates the estimation of domain of attraction for nonlinear port-controlled Hamiltonian (PCH) systems with actuator saturation (AS). Several conditions are established under which an ellipsoid is contractively invariant, and thus can be employed to find the biggest ellipsoid contained in the domain of attraction. It is shown that the proposed conditions can be expressed in the form of the linear matrix inequalities (LMIs) optimization problem with constraints. Study of an illustrative example shows that the proposed method works very well in estimating the domain of attraction for some classes of nonlinear PCH systems with AS. This paper investigates the estimation of domain of attraction for nonlinear port controlled Hamiltonian （PCH） systems with actuator saturation （AS）. Several conditions are established under which an ellipsoid is contractively invariant, and thus can be employed to find the biggest ellipsoid contained in the domain of attraction. It is shown that the proposed conditions can be expressed in the form of the linear matrix inequalities （LMIs） optimization problem with constraints. Study of an illustrative example shows that the proposed method works very well in estimating the domain of attraction for some classes of nonlinear PCH systems with AS. O231; This paper investigates the estimation of domain of attraction for nonlinear port-controlled Hamiltonian (PCH) systems with actuator saturation (AS).Several conditions are established under which an ellipsoid is contractively invadant,and thus can be employed to find the biggest ellipsoid contained in the domain of attraction.It is shown that the proposed conditions can be expressed in the form of the linear matrix inequalities (LMIs) optimization problem with constraints.Study of an illustrative example shows that the proposed method works very well in estimating the domain of attraction for some classes of nonlinear PCH systems with AS. |
| Author | Wang, Yuzhen Wei, Airong |
| AuthorAffiliation | School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China |
| AuthorAffiliation_xml | – name: School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China |
| Author_xml | – sequence: 1 givenname: Airong surname: Wei fullname: Wei, Airong email: weiairong@sdu.edu.cn organization: School of Control Science and Engineering, Shandong University – sequence: 2 givenname: Yuzhen surname: Wang fullname: Wang, Yuzhen organization: School of Control Science and Engineering, Shandong University |
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| Cites_doi | 10.1016/S0005-1098(02)00193-0 10.1109/CDC.1997.649683 10.1109/TFUZZ.2002.806317 10.1137/1.9781611970777 10.1016/j.automatica.2003.07.005 10.1109/9.272351 10.1016/j.automatica.2006.03.014 10.1109/ACC.2007.4282430 10.1016/S0005-1098(01)00209-6 10.1080/00207170050201762 10.1109/9.486638 10.1016/S0167-6911(00)00002-5 10.1016/j.sysconle.2005.02.005 10.1016/S0005-1098(01)00278-3 10.1109/CDC.2001.914715 |
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| Copyright | South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2012 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | Domain of attraction PCH system Actuator saturation Set invariance |
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| Notes | This paper investigates the estimation of domain of attraction for nonlinear port controlled Hamiltonian （PCH） systems with actuator saturation （AS）. Several conditions are established under which an ellipsoid is contractively invariant, and thus can be employed to find the biggest ellipsoid contained in the domain of attraction. It is shown that the proposed conditions can be expressed in the form of the linear matrix inequalities （LMIs） optimization problem with constraints. Study of an illustrative example shows that the proposed method works very well in estimating the domain of attraction for some classes of nonlinear PCH systems with AS. 44-1600/TP PCH system; Actuator saturation; Domain of attraction; Set invariance Airong WEI, Yuzhen WANG School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
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| SubjectTerms | Actuators AS系统 Attraction Complexity Computational Intelligence Control Control and Systems Theory Control theory Ellipsoids Engineering Invariants Mechatronics Nonlinearity Optimization Robotics Saturation Systems Theory 估计 吸引域 哈密顿系统 端口控制 约束优化问题 线性矩阵不等式 饱和执行器 |
| Title | On estimation of attraction domain for port-controlled Hamiltonian systems subject to actuator saturation |
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