Synchronization and parameter estimation of multiple-response chaotic systems with unknown parameters

Abstract

Abstract: Abstract: In this paper, the synchronization and parameter estimation of an uncertain chaotic system with single-drive and multiple-response is studied. By using Lorenz system to drive both Yang system and Liu system simultaneously (all parameters of the three systems are unknown), an uncertain heterogeneous chaotic system with single-drive and multiple-response is constructed. Then based on Lyapunov stability theory and adaptive control method, we consider the scaling factor and give the expression of adaptive controller and the updating rule of parameters, then study two different forms of mixed synchronization of the chaotic system with single-drive and multiple-response, and estimate the unknown parameters at the same time. The method is proved to be feasible in theory. The simulation results show that the uncertain heterogeneous chaotic system with single-drive and multiple-response can be synchronous well and accurately estimate the values of all unknown parameters in the system.

CLC Number:

0415.5

LI Xiaoxia1，2, LI Yanyu1，2, FENG Zhixin1，2, ZHANG Qiyu1，2. Synchronization and parameter estimation of multiple-response chaotic systems with unknown parameters[J]. Chinese Journal of Quantum Electronics, 2019, 36(4): 483-489.

References

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