H∞ control based on LMI for electromechanical vibration of a rolling mill main drive system
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摘要: 为了抑制机电振动,保证对干扰有良好的动态抑制作用且无静态扰动误差,针对轧机主传动系统,建立了基于模型匹配二自由度系统的状态空间模型,并将轧机主传动系统机电振动控制设计问题归结为标准的H∞控制问题；用线性矩阵不等式法得到输出反馈H∞控制器,以保证系统的鲁棒性．仿真研究结果表明,该方法有效改善了轧机主传动系统的跟踪性能,抑制了系统的机电振动现象,同时减小了轧制负荷扰动引起的动态速降．Abstract: In order to suppress electromechanical vibration, to dynamically restrain the disturbance ot a main drive system and not to induce static error by the disturbance, a state space model of two-degree-of-freedom systems was built based on model matching techniques for the main drive system of a roiling mill. The design of an electromechanical vibration controller was converted into a standard H∞ control problem. Then an output feedback H∞ controller was obtained by using LMI approach so as to guarantee the robustness of the main drive system of a roiling mill. Simulated results showed that the controller effectively improved the performance of command following, suppressed electromechanical vibration, and reduced the dynamic speed fall caused by load disturbance.
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