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Adaptive Sliding Mode Attitude-Tracking Control of Spacecraft with Prescribed Time Performance

Author

Listed:
  • Runze Chen

    (The Institute of Complexity Science, College of Automation, Qingdao University, Qingdao 266071, China
    These authors contributed equally to this work.)

  • Zhenling Wang

    (The Institute of Complexity Science, College of Automation, Qingdao University, Qingdao 266071, China
    These authors contributed equally to this work.)

  • Weiwei Che

    (The Institute of Complexity Science, College of Automation, Qingdao University, Qingdao 266071, China
    These authors contributed equally to this work.)

Abstract

In this article, a novel finite-time attitude-tracking control scheme is proposed by using the prescribed performance control (PPC) method for the spacecraft system under the external disturbance and an uncertain inertia matrix. First, a novel polynomial finite-time performance function (FTPF) was used to avoid the complex calculation of exponential function from conventional FTPF. Then, a simpler error transformation was introduced to guarantee that the attitude-tracking error converges to a preselected region in prescribed time. Subsequently, a robust adaptive controller was proposed by using the backstepping method and the sliding mode control (SMC) technique. Unlike the existing attitude-tracking control results, the proposed PPC scheme guarantees the performance of spacecraft system under the static and transient conditions. Meanwhile, the state trajectory of system can be completely drawn into the designed sliding surface. The stability of the control scheme is proven rigorously by the Lyapunov’s theory of stability. Finally, the simulations show that the convergence rate and the convergence accuracy are better for the tracking errors of spacecraft system under the proposed control scheme.

Suggested Citation

  • Runze Chen & Zhenling Wang & Weiwei Che, 2022. "Adaptive Sliding Mode Attitude-Tracking Control of Spacecraft with Prescribed Time Performance," Mathematics, MDPI, vol. 10(3), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:401-:d:736199
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    References listed on IDEAS

    as
    1. Ben Niu & Jun Zhao, 2013. "Tracking control for output-constrained nonlinear switched systems with a barrier Lyapunov function," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 978-985.
    2. Zongyu Zuo & Lin Tie, 2016. "Distributed robust finite-time nonlinear consensus protocols for multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1366-1375, April.
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    Cited by:

    1. Nguyen Xuan-Mung & Mehdi Golestani, 2022. "Smooth, Singularity-Free, Finite-Time Tracking Control for Euler–Lagrange Systems," Mathematics, MDPI, vol. 10(20), pages 1-18, October.
    2. Zahra Mokhtare & Mai The Vu & Saleh Mobayen & Afef Fekih, 2022. "Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems," Mathematics, MDPI, vol. 10(8), pages 1-12, April.
    3. Nguyen Xuan-Mung & Mehdi Golestani & Sung-Kyung Hong, 2022. "Tan-Type BLF-Based Attitude Tracking Control Design for Rigid Spacecraft with Arbitrary Disturbances," Mathematics, MDPI, vol. 10(23), pages 1-21, December.

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