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		Pengnian CHEN,Huashu QIN,Shengwei MEI.[en_title][J].Control Theory and Technology,2005,3(4):334~340.[Copy]

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PengnianCHEN,HuashuQIN,ShengweiMEI
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Received:March 17, 2005Revised:December 28, 2005

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Bifurcation suppression of nonlinear systems via dynamic output feedback and its applications to rotating stall control

Pengnian CHEN, Huashu QIN, Shengwei MEI

(Department of Mathematics,China Institute of Metrology,Hangzhou Zhejiang 310034,China;Institute of Systems Science,The Chinese Academy of Sciences,Beijing 100080,China;Department of Electrical Engineering, Tsinghua University, Beijing 100084,China)

Abstract:

This paper deals with the problems of bifurcation suppression and bifurcation suppression with stability of nonlinear systems. Necessary conditions and sufficient conditions for bifurcation suppression via dynamic output feedback are presented; Sufficient conditions for bifurcation suppression with stability via dynamic output feedback are obtained. As an application, a dynamic compensator, which guarantees that the bifurcation point of rotating stall in axial flow compressors is stably suppressed, is constructed.

Key words: Nonlinear system Bifurcation control Stability Dynamic output feedback