Abstract
Due to the interactions among coupled spatio-temporal subsystems and the constant bias term of affine chaos, it is difficult to achieve tracking control for the affine coupled spatio-temporal chaos. However, every subsystem of the affine coupled spatio-temporal chaos can be approximated by a set of fuzzy models; every fuzzy model represents a linearized model of the subsystem corresponding to the operating point of the controlled system. Because the consequent parts of the fuzzy models have a constant bias term, it is very difficult to achieve tracking control for the affine system. Based on these fuzzy models, considering the affine constant bias term, an H ∞ fuzzy tracking control scheme is proposed. A linear matrix inequality is employed to represent the feedback controller, and parameters of the controller are achieved by convex optimization techniques. The tracking control for the affine coupled spatio-temporal chaos is achieved, and the stability of the system is also guaranteed. The tracking performances are testified by simulation examples.
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Supported by the National Natural Science Foundation of China (No.60102002) and Foundation of Huo Yingdong (No.81057)
Communication author: Dou Chunxia, born in 1967, female, associate professor. College of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China.
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Dou, C., Zhang, S. An H ∞ fuzzy tracking control scheme for affine coupled spatio-temporal chaosfuzzy tracking control scheme for affine coupled spatio-temporal chaos. J. of Electron.(China) 22, 59–65 (2005). https://doi.org/10.1007/BF02687952
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DOI: https://doi.org/10.1007/BF02687952