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Second-order sliding mode control for nonlinear fractional-order systems

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  • Mathiyalagan, Kalidass
  • Sangeetha, G.

Abstract

Novel results on nonlinear fractional-order systems (FOSs) with second-order sliding mode control (SMC) is presented. The controller is designed by proposing a fractional switching surface and it is useful to achieve the finite-time reachability condition. The main objective is to adapt the linear quadratic regulator (LQR) performance in the analysis to improve the transient performance of the FOSs. Further, some unique conditions are derived by using Lyapunov theory and linear matrix inequalities (LMIs). Finally, the results are verified with a Chua's circuit model to illustrate the usefulness.

Suggested Citation

  • Mathiyalagan, Kalidass & Sangeetha, G., 2020. "Second-order sliding mode control for nonlinear fractional-order systems," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    • Handle: RePEc:eee:apmaco:v:383:y:2020:i:c:s0096300320302332
    DOI: 10.1016/j.amc.2020.125264
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    References listed on IDEAS

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    Cited by:

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    4. Majid Roohi & Saeed Mirzajani & Andreas Basse-O’Connor, 2023. "A No-Chatter Single-Input Finite-Time PID Sliding Mode Control Technique for Stabilization of a Class of 4D Chaotic Fractional-Order Laser Systems," Mathematics, MDPI, vol. 11(21), pages 1-22, October.
    5. Wang, Haitao & Chen, Xiangyong & Wang, Jing, 2022. "H∞ sliding mode control for PDT-switched nonlinear systems under the dynamic event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    6. Mousavi, Yashar & Bevan, Geraint & Kucukdemiral, Ibrahim Beklan & Fekih, Afef, 2022. "Sliding mode control of wind energy conversion systems: Trends and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 167(C).
    7. Li, Hui & Kao, YongGui & Stamova, Ivanka & Shao, Chuntao, 2021. "Global asymptotic stability and S-asymptotic ω-periodicity of impulsive non-autonomous fractional-order neural networks," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    8. Mei-Qi, Wang & Wen-Li, Ma & En-Li, Chen & Yu-Jian, Chang & Cui-Yan, Wang, 2022. "Principal resonance analysis of piecewise nonlinear oscillator with fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    9. Arthi, G. & Suganya, K., 2021. "Controllability of higher order stochastic fractional control delay systems involving damping behavior," Applied Mathematics and Computation, Elsevier, vol. 410(C).

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