首页|Observer and boundary output feedback control for coupled ODE-transport PDE
Observer and boundary output feedback control for coupled ODE-transport PDE
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NSTL
Elsevier
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 feed-back controller is also illustrated. (c) 2022 Elsevier Inc. All rights reserved.
NSTL
Elsevier
