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Finite-time synchronization control for a class of perturbed nonlinear systems with fixed convergence time and hysteresis quantizer: applied to Genesio–Tesi chaotic system

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Abstract

In the present article, a terminal sliding mode control strategy has been proposed in order to address the synchronization problem for a class of perturbed nonlinear systems with fixed convergence time and input quantization. The proposed protocol guarantees the fixed-time convergence of the sliding manifold to the origin, which means that the convergence time of the proposed sliding manifold does not change on the variations of initial values, different from typical control methods. Here, the hysteresis quantizer, as a specific type of quantizer with nonlinear sector-bounded, is applied in order to quantize the input signal. The proposed quantized control scheme vigorously prevents the potential adverse chattering phenomenon which is experienced in the common quantization methods. The proposed controller does not need the limiting criteria related to considered parameters of quantization compared to recent control approaches. Finally, the designed controller is implemented on the perturbed Genesio–Tesi (G–T) chaotic systems to verify effectiveness and strength of the proposed method.

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Authors and Affiliations

  1. Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Mohammad Javad Mirzaei, Ehsan Aslmostafa, Mostafa Asadollahi & Mohammad Ali Badamchizadeh

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  1. Mohammad Javad Mirzaei
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  2. Ehsan Aslmostafa
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  3. Mostafa Asadollahi
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  4. Mohammad Ali Badamchizadeh
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Correspondence to Mostafa Asadollahi.

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Mirzaei, M.J., Aslmostafa, E., Asadollahi, M. et al. Finite-time synchronization control for a class of perturbed nonlinear systems with fixed convergence time and hysteresis quantizer: applied to Genesio–Tesi chaotic system. Nonlinear Dyn 107, 2327–2343 (2022). https://doi.org/10.1007/s11071-021-07051-5

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  • DOI: https://doi.org/10.1007/s11071-021-07051-5

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