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Finite-time modified projective synchronization between two different chaotic systems with parameter and model uncertainties and external disturbances via sliding control

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Abstract

In this paper, a sliding model control approach is introduced to realize modified projective synchronization between two different chaotic systems in a finite time. The effects of parameter and model uncertainties and external disturbances are fully taken into account. First, a novel sliding surface is proposed and its finite-time convergence to zero is analytically proved. Then, an appropriate robust sliding mode control law is given to ensure occurrence of sliding motion in a finite time. Illustrative examples are presented to show efficiency and applicability of the proposed finite-time control strategy.

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Acknowledgments

We are grateful to anonymous reviewers for their valuable comments and suggestions, which has led to better presentation of this paper. This work was supported by the National Natural Science Foundation of China under Grant Nos. 11361043 and 61304161; the Natural Science Foundation of Jiangxi Province under Grant No. 20122BAB201005.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, 330031, People’s Republic of China

    R Z Luo & Y L Wang

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  1. R Z Luo
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  2. Y L Wang
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Correspondence to R Z Luo.

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Luo, R.Z., Wang, Y.L. Finite-time modified projective synchronization between two different chaotic systems with parameter and model uncertainties and external disturbances via sliding control. Indian J Phys 88, 301–309 (2014). https://doi.org/10.1007/s12648-013-0410-5

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  • DOI: https://doi.org/10.1007/s12648-013-0410-5

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