非线性哈密顿控制系统输出反馈同时镇定(英文)

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Simultaneous stabilization of nonlinear portcontrolled Hamiltonian systems via output feedback

WANG Yuzhen1, LIU Yuchang2, FENG Gang3

1. School of Control Science and Engineering, Shandong University, Jinan 250061, China;
2. Department of Mathematics and System Sciences, Taishan University, Tai’an 271021, China;
3. Department of Manufacturing Engineering and Engineering Management, City University of
Hong Kong, Kowloon Tong, Hong Kong， China

Received:2009-03-08 Revised:1900-01-01 Online:2009-04-16 Published:2009-04-16

Abstract

Abstract:

The simultaneous stabilization of a finite collection of nonlinear PortControlled Hamiltonian (PCH) systems is investigated in this paper, and a number of new results on the control design are proposed via output feedback. First, using the PCH systems’ structural properties and the systems’ zerostate detectability, a new control design method is developed. Then, in the case of external disturbances and／or parametric uncertainties in the PCH systems three kinds of simultaneous stabilization laws are proposed. The first one is a robust simultaneous stabilizer, the second is an adaptive simultaneous stabilizer, and the last is a robust adaptive H∞ simultaneous stabilizer. Study of an illustrative example with simulations shows that the control design methods obtained in this paper work very well.

Key words: simultaneous stabilization, robust／adaptive simultaneous stabilizer, output feedback, dissipative structure, zerostate detectability

CLC Number:

TP273

WANG Yuzhen1, LIU Yuchang2, FENG Gang3. Simultaneous stabilization of nonlinear portcontrolled Hamiltonian systems via output feedback[J].JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 52-63.

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