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

作　　者：Airong Wei Yuzhen Wang 

机构地区：[1] School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China

出　　处：《控制理论与应用（英文版）》2012年第2期195-200,共6页

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

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.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.

关 键 词：PCH system Actuator saturation Domain of attraction Set invariance 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] O175.1[自动化与计算机技术—控制科学与工程]