中国物理B ›› 2005, Vol. 14 ›› Issue (5): 902-907.doi: 10.1088/1009-1963/14/5/008

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H∞ tracking control of coupled spatiotemporal chaos with parametric uncertainties based on fuzzy observers　　　　　　

窦春霞, 张淑清   

  1. College of Electrical Engineering, Yanshan University, Qinghuangdao 066004, China
  • 收稿日期:2004-04-14 修回日期:2004-11-26 出版日期:2005-05-19 发布日期:2005-05-19
  • 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)

$H_{\infty}$ tracking control of coupled spatiotemporal chaos with parametric uncertainties based on fuzzy observers

Dou Chun-Xia (窦春霞), Zhang Shu-Qing (张淑清)   

  1. College of Electrical Engineering, Yanshan University, Qinghuangdao 066004, China
  • Received:2004-04-14 Revised:2004-11-26 Online:2005-05-19 Published:2005-05-19
  • 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 spatio-temporal subsystems and the parametric uncertainties, it is difficult to achieve the tracking control of the coupled spatio-temporal chaos with parametric uncertainties. However every subsystem of the coupled spatio-temporal chaos can be approximated by a set of fuzzy models. Considering that all states of the subsystem are not available, fuzzy observers are suggested to estimate these states. Based on these fuzzy models and observers, and the consideration of the parametric uncertainties, a newfuzzy tracking control scheme is proposed, where a linear matrix inequalities (LMI) is employed to represent the feedback controller. The parameters of the controller are obtained by using convex optimization techniques of LMI. The robust stability of the controlled system is guaranteed in this scheme. The tracking performances are tested by simulation as an example.

关键词: spatio-temporal chaos, fuzzy observers, fuzzy tracking control, linear matrix inequalities (LMI)

Abstract: Due to the interactions among coupled spatio-temporal subsystems and the parametric uncertainties, it is difficult to achieve the tracking control of the coupled spatio-temporal chaos with parametric uncertainties. However every subsystem of the coupled spatio-temporal chaos can be approximated by a set of fuzzy models. Considering that all states of the subsystem are not available, fuzzy observers are suggested to estimate these states. Based on these fuzzy models and observers, and the consideration of the parametric uncertainties, a new $H_{\infty}$ fuzzy tracking control scheme is proposed, where a linear matrix inequalities (LMI) is employed to represent the feedback controller. The parameters of the controller are obtained by using convex optimization techniques of LMI. The robust stability of the controlled system is guaranteed in this scheme. The tracking performances are tested by simulation as an example.

Key words: spatio-temporal chaos, fuzzy observers, fuzzy tracking control, linear matrix inequalities (LMI)

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  • 0545