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Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control

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  • Kening Li
  • Jianyong Cao
  • Fan Yu

Abstract

An improved type of control strategy combining the fractional calculus with nonsingular terminal sliding mode control named non-singular fractional terminal sliding mode control (NFOTSM) is proposed for the nonlinear tire-road friction control system of vehicle in this paper. A fractional-order switching manifold is proposed, and the corresponding control law is formulated based on the Lyapunov stability theory to guarantee the sliding condition. The proposed controller ensures the finite time stability of the closed-loop system. Then, a terminal attractor is introduced to solve the singularity problem of fractional terminal sliding mode control (FOTSM). Finally, the performance of the NFOTSM is fully investigated compared with other related algorithms to find the effectiveness for the tire-road friction system. The results show that the NFOTSM has better performance than other related algorithms.

Suggested Citation

  • Kening Li & Jianyong Cao & Fan Yu, 2013. "Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, August.
    • Handle: RePEc:hin:jnlmpe:523251
    DOI: 10.1155/2013/523251
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    Cited by:

    1. Aslmostafa, Ehsan & Mirzaei, Mohammad Javad & Asadollahi, Mostafa & Badamchizadeh, Mohammad Ali, 2021. "Synchronization problem for a class of multi-input multi-output systems with terminal sliding mode control based on finite-time disturbance observer: Application to Chameleon chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Bin Li & Jiahao Zhu & Ranran Zhou & Guoxing Wen, 2022. "Adaptive Neural Network Sliding Mode Control for a Class of SISO Nonlinear Systems," Mathematics, MDPI, vol. 10(7), pages 1-12, April.
    3. Habib Benbouhenni & Nicu Bizon, 2021. "Third-Order Sliding Mode Applied to the Direct Field-Oriented Control of the Asynchronous Generator for Variable-Speed Contra-Rotating Wind Turbine Generation Systems," Energies, MDPI, vol. 14(18), pages 1-20, September.
    4. Baoyu Huo & Mingjun Du & Zhiguo Yan, 2023. "Adaptive Sliding Mode Attitude Tracking Control for Rigid Spacecraft Considering the Unwinding Problem," Mathematics, MDPI, vol. 11(20), pages 1-16, October.

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