中国物理B ›› 2005, Vol. 14 ›› Issue (7): 1347-1351.doi: 10.1088/1009-1963/14/7/014

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H∞ tracking control of coupled spatiotemporal chaos based on fuzzy models

窦春霞   

  1. College of Electrical Engineering, Yanshan University, Qinghuangdao 066004, China
  • 收稿日期:2004-12-22 修回日期:2005-03-25 出版日期:2005-06-20 发布日期:2005-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60102002) and by the Fok Ying-Tong Education Foundation, China (Grant No 81057).

H∞ tracking control of coupled spatiotemporal chaos based on fuzzy models

Dou Chun-Xia (窦春霞)   

  1. College of Electrical Engineering, Yanshan University, Qinghuangdao 066004, China
  • Received:2004-12-22 Revised:2005-03-25 Online:2005-06-20 Published:2005-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60102002) and by the Fok Ying-Tong Education Foundation, China (Grant No 81057).

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摘要： Due to the interactions among coupled spatiotemporal subsystems, it is difficult to achieve the tracking control of the coupled spatiotemporal chaos. However, every subsystem of the coupled spatiotemporal chaos can be approximated by a set of fuzzy models, of which each represents a linearized model of the subsystem corresponding to the operating point of the controlled system. Based on these fuzzy models, an $H_\infty$ fuzzy tracking control scheme is suggested, where a linear matrix inequalities (LMI) is employed to represent the feedback controller. The parameters of controller are obtained by using convex optimization techniques of LMI. The model reference tracking control of the coupled spatiotemporal chaos is achieved,and the stability of the system is also guaranteed. The tracking performance is tested by simulation as an example.

关键词: fuzzy model, coupled spatiotemporal chaos, $H_\infty$ fuzzy tracking control, linear matrix inequalities (LMI)

Abstract: Due to the interactions among coupled spatiotemporal subsystems, it is difficult to achieve the tracking control of the coupled spatiotemporal chaos. However, every subsystem of the coupled spatiotemporal chaos can be approximated by a set of fuzzy models, of which each represents a linearized model of the subsystem corresponding to the operating point of the controlled system. Based on these fuzzy models, an $H_\infty$ fuzzy tracking control scheme is suggested, where a linear matrix inequalities (LMI) is employed to represent the feedback controller. The parameters of controller are obtained by using convex optimization techniques of LMI. The model reference tracking control of the coupled spatiotemporal chaos is achieved,and the stability of the system is also guaranteed. The tracking performance is tested by simulation as an example.

Key words: fuzzy model, coupled spatiotemporal chaos, $H_\infty$ fuzzy tracking control, linear matrix inequalities (LMI)

中图分类号:  (Control of chaos, applications of chaos)

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