Finite-time Stability of Heating Furnace Temperature Control System

Abstract

A finite-time stabilization controller for the heating furnace temperature control system is proposed. Based on the ex-tended Lyapunov finite-time stability theory and power integral method, a finite-time stable condition of the heating furnace temperature control system is given. The temperature of the heating furnace is directed by the finite-time sta-bilization controller to make it stable in finite time. And the quality and quantity of slabs is improved. The simulation example is presented to illustrate the applicability of the developed results.