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Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity

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  • Pai, Ming-Chang

Abstract

This paper presents a novel robust chaotic controller for stabilizing uncertain time-delay chaotic systems with input nonlinearity. Based on dynamic output sliding mode control (SMC), Lyapunov theory and linear matrix inequality (LMI) technique, the stability of overall uncertain time-delay chaotic system with input nonlinearity under the proposed control scheme is guaranteed without the state predictor. The selection of sliding surface and the design of control law are two important issues, which have been addressed. A priori knowledge of upper bounds of uncertainties is not required. Furthermore, the proposed scheme ensures robustness against input nonlinearity, time-delays, nonlinear real-valued functions, parameter uncertainties and disturbances simultaneously. Finally, simulation results demonstrate the validity of the proposed control methodology.

Suggested Citation

  • Pai, Ming-Chang, 2015. "Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 757-767.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:757-767
    DOI: 10.1016/j.amc.2015.09.058
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    References listed on IDEAS

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    1. Chiang, Tsung-Ying & Hung, Meei-Ling & Yan, Jun-Juh & Yang, Yi-Sung & Chang, Jen-Fuh, 2007. "Sliding mode control for uncertain unified chaotic systems with input nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 437-442.
    2. Aguirre-Hernández, B. & Campos-Cantón, E. & López-Renteria, J.A. & Díaz González, E.C., 2015. "A polynomial approach for generating a monoparametric family of chaotic attractors via switched linear systems," Chaos, Solitons & Fractals, Elsevier, vol. 71(C), pages 100-106.
    3. Yan, Jun-Juh & Yang, Yi-Sung & Chiang, Tsung-Ying & Chen, Ching-Yuan, 2007. "Robust synchronization of unified chaotic systems via sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 947-954.
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    Cited by:

    1. Xikui Liu & Yingying Ge & Yan Li, 2018. "Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance," Complexity, Hindawi, vol. 2018, pages 1-11, November.
    2. Lee, S.H. & Park, M.J. & Kwon, O.M. & Sakthivel, R., 2016. "Master-slave synchronization for nonlinear systems via reliable control with gaussian stochastic process," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 439-459.
    3. Chen, Xiangyong & Park, Ju H. & Cao, Jinde & Qiu, Jianlong, 2017. "Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 161-173.

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