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.
Received: 22 December 2004
Revised: 25 March 2005
Accepted manuscript online:
PACS:
05.45.Gg
(Control of chaos, applications of chaos)
Fund: 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).
Cite this article:
Dou Chun-Xia (窦春霞) H∞ tracking control of coupled spatiotemporal chaos based on fuzzy models 2005 Chinese Physics 14 1347
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