Abstract
The new chaos control method presented in this paper is useful for taking advantage of chaos. Based on sliding mode control theory, this paper provides a switching manifold controlling strategy of chaotic system, and also gives a kind of adaptive parameters estimated method to estimate the unknown systems' parameters by which chaotic dynamical system can be synchronized. Taking the Lorenz system as example, and with the help of this controlling strategy, we can synchronize chaotic systems with unknown parameters and different initial conditions.
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Project supported by Doctoral Subject Research Fund of Ministry of Education of China (1999033512) and Science and Technology Plan Fund of Zhejiang Province (991110412)
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Qi, Dl., Zhao, Gz. Control uncertain continuous-time chaotic dynamical system. J. Zhejiang Univ. Sci. A 4, 437–440 (2003). https://doi.org/10.1631/jzus.2003.0437
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DOI: https://doi.org/10.1631/jzus.2003.0437