加热炉温度控制系统的有限时间镇定

Finite-time Stabilization of Heating Furnace Temperature Control System

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。

In this paper,the design problem of power integral finite-time stabilization controller for heating furnace temperature control system was studied.Based on the extended Lyapunov finite-time stability theorem and power integral method,Lyapunov function was constructed and power integral finite-time stabilization controller for the heating furnace temperature control system was proposed.Under the control of the power integral finite-time stabilization controller,the heating furnace temperature control system can reach stabilization in finite time,and the slab temperature can reach the predetermined temperature in finite time,which improves the slab quality and reduce the energy loss.By using a simulation example,the efficiency of the designing scheme was demonstrated.