Summary
The stabilization problem for a nonlinear Ordinary Differential Equation (ODE) coupled with a system of hyperbolic Partial Differential Equations (PDEs) in the actuating path is investigated. Herein, a general prediction-based control law is proposed. It is mathematically proved that the proposed control law can stabilize the system. Compared to the previous related studies, firstly, this approach is applicable for nonlinear systems and, secondly, distributed states along the spatial domain do not need to be measured and only boundary state measurement suffices for the feedback law.
