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Delayed reset control design for uncertain fractional-order systems with actuator faults via dynamic output feedback scheme

Author

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  • Sakthivel, R.
  • Sweetha, S.
  • Tatar, N.E.
  • Panneerselvam, V.

Abstract

In this work, the stabilization of uncertain fractional-order dynamical control system with actuator faults and external disturbances will be addressed. Specifically, a fractional-order reset control system consisting of two sub-systems namely flow and jump subsystems will be designed. Based on the triggering conditions of reset law, a particular subsystem of the control system will be invoked. Meanwhile, the uncertainty and time-delay will be incorporated in the reset control system. Then the output of the reset control system, that is the control input of the system is designed to be fault-tolerant due to the presence of actuator faults. Further, the fractional-order dependent linear matrix inequalities (LMIs) will be derived by an appropriate choice of a Lyapunov function and other matrix inequalities. Thus, by solving the obtained LMIs, the gain values can be obtained guaranteeing the stabilization of the closed loop system with prescribed disturbance attenuation level. Later, the theoretical results are authenticated by providing numerical simulation results.

Suggested Citation

  • Sakthivel, R. & Sweetha, S. & Tatar, N.E. & Panneerselvam, V., 2023. "Delayed reset control design for uncertain fractional-order systems with actuator faults via dynamic output feedback scheme," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
  • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s096007792300214x
    DOI: 10.1016/j.chaos.2023.113313
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    References listed on IDEAS

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    1. You, Xingxing & Shi, Mingyang & Guo, Bin & Zhu, Yuqi & Lai, Wuxing & Dian, Songyi & Liu, Kai, 2022. "Event-triggered adaptive fuzzy tracking control for a class of fractional-order uncertain nonlinear systems with external disturbance," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Lin, Tsung-Chih & Lee, Tun-Yuan & Balas, Valentina E., 2011. "Adaptive fuzzy sliding mode control for synchronization of uncertain fractional order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 791-801.
    3. Chen, Boshan & Chen, Jiejie, 2015. "Razumikhin-type stability theorems for functional fractional-order differential systems and applications," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 63-69.
    4. He Li & Guang-Hong Yang, 2019. "Dynamic observer-based control for fractional-order uncertain linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(6), pages 1107-1120, April.
    5. Zhu, Zhen & Lu, Jun-Guo, 2021. "Robust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: An LMI approach," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    6. Pishro, Aboozar & Shahrokhi, Mohammad & Sadeghi, Hamed, 2022. "Fault-tolerant adaptive fractional controller design for incommensurate fractional-order nonlinear dynamic systems subject to input and output restrictions," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
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