Boundary Control for a Kind of Coupled PDE-ODE System

Yuanting Wang, Fucheng Liao, Yonglong Liao, Zhengwei Shen
2014 Journal of Control Science and Engineering  
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 assumptionsλ(x)∈P[x]nandλ(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.
doi:10.1155/2014/946736 fatcat:uhxyhkbcj5ep3opzwvms7cirtu