中文摘要：

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，从而使电孤炉电搬调节系鳙．拥有较好的动静态性能．

英文摘要：

Arc furnace is the typical complex controlled system with three-phase strong coupling , high nonlinearity and uncertainty. The control requirement of arc furnace is also more and more strict. The backsteeping control is combined with the adaptive fuzzy con- trol. It is applied to electrode regulator systems of arc furnace, and the detailed design procedure of the backstepping adaptive fuzzy control system is presented. The backstepping controlhr is designed by recurring. The adaptive fuzzy control is utilized to approach the uncertain term of baCkstepping control. The law of the adaptive fuzzy control is presented, the adaptive law of the fuzzy rulers parame- ters is derived by Lyapunov functionl The supervisory control is utilized for restraining the fuzzy approximate error. The results of simu- lation show that this proposed arithmetic of control can restrain the disturbance of arc length effectively, and has a stronger robustness, accordingly obtains more better dynamic characteristics in the electrode regulator systems.