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| Received:December 15, 2009Revised:March 07, 2011 |
| 基金项目:This work was supported by the National Nature Science Foundation of China (Nos. 61174036, 61074068, 61034007), the Independent Innovation Foundation of Shandong University (No. 2010TS078), and the Research Fund for the Taishan Scholar Project of Shandong Province. |
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| On estimation of attraction domain for port-controlled Hamiltonian systems subject to actuator saturation |
| Airong WEI,Yuzhen WANG |
| (School of Control Science and Engineering, Shandong University) |
| 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. |
| Key words: PCH system Actuator saturation Domain of attraction Set invariance |
