Finite-time Stability of Heating Furnace Temperature Control System

A finite-time stabilization controller for the heating furnace temperature control system is proposed.Based on the extended 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 stabilization 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.

加热炉温度控制系统的有限时间镇定

本文针对加热炉温度控制系统,研究其加幂积分有限时间镇定控制器的设计问题。基于扩展Lyapunov有限时间稳定定理和加幂积分方法,构造合适的Lyapunov函数,并设计加幂积分有限时间镇定控制器。在该控制器的作用下,加热炉温度控制系统在有限时间内镇定,同时加热板坯可以在有限时间内达到预定温度,从而提高板坯的质量和减少能量的损耗。最后,仿真算例验证了控制方法的有效性。