电熔镁砂熔炼过程电极电流饱和约束一步最优控制  

Saturation Constraint One-step Optimal Control of Electrode Current for the Fused Magnesia Smelting Process

作　　者：富月 李宝 FU Yue;LI Bao(State Key Laboratory of Synthetical Automation for Process Industries,Shenyang 110819)

机构地区：[1]东北大学流程工业综合自动化国家重点实验室,沈阳110819

出　　处：《自动化学报》2022年第1期239-248,共10页Acta Automatica Sinica

基　　金：国家自然科学基金(61991403,61991400);辽宁省教育厅创新人才项目(ZX20200070);辽宁省重大科技专项(2020JH1/10100008)资助~~。

摘　　要：电熔镁砂熔炼过程通过电极电流熔化物料,采用埋弧方式,边熔化边加料,其被控对象是以转动方向与频率为输入,以电极电流为输出的三相电机.本文通过引入中间变量并转化控制目标,将电熔镁砂熔炼过程三相电极电流的复杂非线性控制问题简化为线性控制问题,提出了一种简化的电极电流饱和约束一步最优控制方法,并通过引入拉格朗日乘子向量和松弛向量验证了该方法的最优性.理论分析和仿真对比实验结果表明本文所提简化控制方法的有效性和优越性.此外,当考虑电熔镁砂熔炼过程中存在的不可测外部干扰时,在上述简化的电极电流饱和约束算法的基础上设计了高阶干扰观测器,理论分析和仿真结果验证了具有高阶干扰观测器的简化算法的优越性.The fused magnesia smelting process melts the material through the electrode current,and uses the submerged arc method to feed the material while melting.The controlled object is a three-phase motor with the rotation direction and frequency as the inputs and the electrode current as the outputs.In this paper,by introducing an intermediate variable and transforming the control objective,the complex nonlinear control problem of the threephase electrode current for the fused magnesia smelting process is simplified into a linear control problem,and a saturation constraint one-step optimal controller is proposed.The optimality of the method is verified by introducing Lagrangian multiplier vectors and relaxation vectors.Theoretical analysis and simulation results show the effectiveness and superiority of the simplified control method.Furthermore,when unmeasurable external disturbances are considered in the fused magnesia smelting process,a high-order disturbance observer is designed on the basis of the simplified electrode current saturation constraint algorithm.Theoretical analysis and simulation results verify the superiority of the simplified algorithm with the high-order disturbance observer.

关 键 词：电熔镁砂 饱和约束 离散时间非线性系统 一步最优控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]