On estimation of attraction domain for port-controlled Hamiltonian systems subject to actuator saturation

作     者：Airong Wei Yuzhen Wang 

作者机构：School of Control Science and Engineering Shandong University Jinan Shandong 250061 China 

出 版 物：《控制理论与应用（英文版）》 (Journal of Control Theory and Applications)

年 卷 期：2012年第10卷第2期

页      面：195-200页

核心收录：

学科分类：0808[工学-电气工程] 07[理学] 08[工学] 070104[理学-应用数学] 0835[工学-软件工程] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 080201[工学-机械制造及其自动化] 

基　　金：supported by the National Nature Science Foundation of China (Nos. 61174036, 61074068, 61034007) the Independent Innovation Foundation of Shandong University (No. 2010TS078) the Research Fund for the Taishan Scholar Project of Shandong Province 

主　　题：PCH system Actuator saturation Domain of attraction Set invariance 

摘      要：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.