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Synchronization of discrete-time spatiotemporal chaos via adaptive fuzzy control. (English) Zbl 1045.93029
Summary: A discrete-time adaptive fuzzy control scheme is presented to synchronize model-unknown coupled Henon-map lattices (CHMLs). The proposed method is robust to approximate errors, parameter mismatches and disturbances, because it integrates the merits of the adaptive fuzzy systems and the variable structure control with a sector. The simulation results of synchronization of CHMLs show that it not only can synchronize model-unknown CHMLs but also is robust against parameter mismatches and noise of the systems. These merits are advantageous for engineering realization.

MSC:
93C42Fuzzy control systems
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References:
[1] Zhang, Y.; Dai, M.; Hua, Y.; Ni, W.; Du, G.: Digital communication by active-passive-decomposition synchronization in hyperchaotic systems. Phys. rev. E 58, No. 3, 3022-3027 (1998)
[2] Liu, J.; Dong, D.; Song, W.; Zhang, S.; Zhou, Q.: The synchronization without biased error in spatiotemporal chaos. 2001 IEEE Pacific rim conference on communications, computers and signal processing 1, 14-16 (2001)
[3] Grassberger, P.: Synchronization of coupled systems with spatiotemporal chaos. Phys. rev. E 59, No. 3, R2520-R2522 (1999)
[4] Yin, X.; Ren, Y.; Shan, X.: Synchronization of discrete spatiotemporal chaos by using variable structure control. Chaos, solitons & fractals 14, No. 7, 1077-1082 (2002) · Zbl 1038.37506
[5] Lai, Y. -C.; Winslow, R. L.: Extreme sensitive dependence on parameters and initial conditions in spatio-temporal chaotic dynamical systems. Physica D 74, 353-371 (1994) · Zbl 0814.58029
[6] Han, H.; Su, C. -Y.; Murakami, S.: Adaptive control of a class of nonlinear discrete-time systems with fuzzy logic. Proc. of the 3rd world congress on intelligent control and automation 3, 1785-1789 (2000)
[7] Shaocheng, T.; Tianyou, C.: Fuzzy indirect adaptive control for a class of decentralized nonlinear systems. Int. J. Syst. sci. 29, No. 2, 149-157 (1998) · Zbl 1126.93366
[8] Fuchun, S.; Zengqi, S.; Peng-Yung, W.: Stable neural-network-based adaptive control for sampled-data nonlinear systems. IEEE trans. Neural networks 9, No. 5, 956-968 (1998)
[9] Sugeno, M.; Tanaka, K.: Successive identification of a fuzzy model and its applications to prediction of a complex system. Fuzzy sets syst. 42, No. 3, 315-334 (1991) · Zbl 0741.93052