Optimal control for spatial-temporal distributed nonlinear autoregressive with exogenous inputs correlation model of steel rolling reheating furnace: a coordinated time-sharing control approach

Accurate control of slab temperature and heating rate is an important significance to improve product performance and reduce carbon emissions for steel rolling reheating furnace (SRRF). Firstly, a spatial temporal distributed–nonlinear autoregressive with exogenous inputs correlation model (STD-NARXCM) to spatial temporal distributed–autoregressive with exogenous inputs correlation model (STD-ARXCM) in working point is established. Secondly, a new coordinated time-sharing control architecture in different time periods is proposed, which is along the length of the SRRF to improve the control performance. Thirdly, a hybrid control algorithm of expert-fuzzy is proposed to improve the dynamic of the temperature and the heating rate during time period 0 to t 1 . A hybrid control algorithm of expert-fuzzy-PID is proposed to enhance the control accuracy and the heating rate during time period t 1 to t 2 . A hybrid control algorithm of expert-active disturbance rejection control (ADRC) is proposed to boost the anti-interference and the heating rate during time period t 2 to t 3 . Finally, the experimental results show that the coordinated time-sharing algorithm can meet the process requirements, the maximum deviation of temperature value is 8–13.5 ∘ C.