Boundary Control for a Kind of Coupled PDE-ODE System

الملخص EN

A coupled system of an ordinary differential equation (ODE) and a heat partial differential equation (PDE) with spatially varying coefficients is discussed.

By using the PDE backstepping method,the state-feedback stabilizing controller is explicitly constructed with the assumptions λ ( x ) ∈ P [ x ] n and λ ( x ) ∈ C [ 0 , l ] ∞ , respectively.

The closed-loop system is proved to be exponentially stable by this controller.

A simulation example is presented to illustrate the effectiveness of the proposed method.