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Observer and boundary output feedback control for coupled ODE-transport PDE

Author

Listed:
  • Mathiyalagan, K.
  • Nidhi, A. Shree
  • Su, H.
  • Renugadevi, T.

Abstract

This work focuses on the observer design for a first order ODE-transport PDE coupled at the boundary points. A novel anti-collocated observer and an output feedback boundary control law are designed for an under-actuated coupled system using the backstepping method. The homo-directional hyperbolic type PDE is considered with in-domain coupling between the states. The stabilization of the coupled systems are discussed by Lyapunov theory and linear matrix inequality (LMI) approach is implemented to design the gains. The obtained results show that the observer value coincides with the actual ones and it has been demonstrated through numerical examples. The effectiveness of the output feedback controller is also illustrated.

Suggested Citation

  • Mathiyalagan, K. & Nidhi, A. Shree & Su, H. & Renugadevi, T., 2022. "Observer and boundary output feedback control for coupled ODE-transport PDE," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    • Handle: RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322001801
    DOI: 10.1016/j.amc.2022.127096
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    References listed on IDEAS

    as
    1. Yin, Qitian & Wang, Mao & Jing, He, 2020. "Stabilizing backstepping controller design for arbitrarily switched complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    2. Chang, Xiao-Heng & Jin, Xue, 2022. "Observer-based fuzzy feedback control for nonlinear systems subject to transmission signal quantization," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    3. Mlayeh, Rhouma & Toumi, Samir & Beji, Lotfi, 2018. "Backstepping boundary observer based-control for hyperbolic PDE in rotary drilling system," Applied Mathematics and Computation, Elsevier, vol. 322(C), pages 66-78.
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