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

K. Mathiyalagan, A. Shree Nidhi, H. Su and T. Renugadevi

Applied Mathematics and Computation, 2022, vol. 426, issue C

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.

Keywords: Coupled system; Backstepping; Boundary control; Lyapunov stability; Hyperbolic PDE (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322001801

DOI: 10.1016/j.amc.2022.127096

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