Stabilization of an Ode-Heat Cascaded System with Integral Term

Abstract

This paper considers the stabilization of an ODE (ordinary differential equation)-heat cascaded system with integral term. A two-step backstepping method is proposed to obtain the control law via selecting an intermediate control system. Then, the stability of the closed-loop system is proved by using Lyapunov function and the boundedness of the invertible backstepping transformation. Finally, a simulation experiment to illustrate the effectiveness of the controller.