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电弧炉是具有三相强耦合、高度非线性和不确定性的复杂被控对象,并且目前对电弧炉的控制要求越来越严格,为此将反步控制与自适应模糊控制相结合,应用于电弧炉电极调节系统中。给出了反步自适应模糊控制系统的详细设计过程。用递推法设计反步控制量,用自适应模糊控制逼近反步控制量中的不确定项,设计出自适应模糊控制律。通过李亚普诺夫函数推导了模糊规则参数调整的自适应律。最后引入监督控制以减少模糊逼近误差。仿真结果表明:所提出的控制算法能有效地抑制弧长的扰动,具有较强的鲁棒性,从而使电弧炉电极调节系统拥有较好的动静态性能。
Electric arc furnace is a complex controlled object with three-phase strong coupling, high degree of nonlinearity and uncertainty. At present, the control of arc furnace is more and more strict. For this purpose, the backstepping control is combined with adaptive fuzzy control. In the EAF electrode conditioning system. The detailed design process of backstepping adaptive fuzzy control system is given. Recursive method is used to design backstepping control, adaptive fuzzy control is used to approximate the uncertainties in backstepping control, and adaptive fuzzy control law is designed. The adaptive law of parameter adjustment of fuzzy rules is deduced by Lyapunov function. Finally, the introduction of supervisory control to reduce the fuzzy approximation error. The simulation results show that the proposed control algorithm can effectively restrain the disturbance of arc length and has strong robustness, so that the EAF electrode control system has good dynamic and static performance.