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

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, China Institute of Metrology, 310034, Hangzhou, Zhejiang, China

    Pengnian Chen

  2. Institute of Systems Science, The Chinese Academy of Sciences, 100080, Beijing, China

    Huashu Qin

  3. Department of Electrical Engineering, Tsinghua University, 100084, Beijing, China

    Shengwei Mei

Authors
  1. Pengnian Chen
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  2. Huashu Qin
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  3. Shengwei Mei
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Additional information

This work was supported by the National Natural Science Foundation of China(No.60274008,10472194).

Pengnian CHEN is currently a professor of mathematics at China Institute of Metrology. He received his M. S. degree in operational research and control from Xiamen University, China, in 1982 and Ph.D. degree in control theory from Shanghai Jiaotong University, China, in 1994. His research interests include nonlinear systems control and stability of differential equations. E-mail: pnchen@mail.hz.zj.cn.

Huashu QIN graduated from the Department of Mathematics, Nankai University, Tianjin, China, in 1956, and received her Ph.D.degree in mathematics from Jagiellonian University in Cracow, Poland in 1961. She worked in the Institute of Mathematics and in the Systems Science respectively, Chinese Academy of Sciences. In the 1960s and 1970s, Qin worked in the field of control theory and applications including guidance and control of missiles and satellites, temperature control of industrial processes. After 1980, Qin’s research interests cover many topics in systems control including bifurcations in nonlinear control systems, stabilization and tracking control of rigid robot arms, chaos control and stabilization via output feedback for nonlinear systems.

Shengwei MEI (IEEE Member, 2000) received the Math B. S. degree from Xinjiang University in 1984, and the Math M.S. from Tsinghua University in 1989, and the Cybernetics Ph. D. from Chinese Sciences of Academy in 1996, respectively. From 1984 to 1987, he worked with Department of Mathematics of Xinjiang University on functional analysis. From 1990 to 1993, he worked on Probability and Statistics, at the same university. From 19% to 1998, he completed his post-doctoral research on Electrical Engineering, in Tsinghua University and joined the faculty of the same university.

He was a visiting scholar and a visiting professor in Sophia University, Japan and Brunei University and National University of Singapore respectively, in 1999, 2001 and 2002.

He is now a professor in Tsinghua University, and a vice director of Institute of Power System, Tsinghua University. He had published more than 70 papers in journals and conferences. In 2001, his co-authored monograph “Nonlinear Control System and Power System Dynamics” was published by Kluwer Academic Publishers.

Now he is engaged in power system collapse prevention, economic operation and digital power systems.

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Chen, P., Qin, H. & Mei, S. Bifurcation suppression of nonlinear systems via dynamic output feedback and its applications to rotating stall control. J. Control Theory Appl. 3, 334–340 (2005). https://doi.org/10.1007/s11768-005-0021-6

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  • DOI: https://doi.org/10.1007/s11768-005-0021-6

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