滚珠丝杠副的增益模糊自适应双幂次趋近律滑模控制
Gain Fuzzy Adaptive Double Power Reaching Law for Sliding Mode Control of Ball Screw Pair
作者:汤亮(湖北工业大学 机械工程学院,湖北 武汉 430068;湖北省制造业创新方法与应用工程技术研究中心,湖北 武汉 430068);卢文政(湖北工业大学 机械工程学院,湖北 武汉 430068;湖北省制造业创新方法与应用工程技术研究中心,湖北 武汉 430068);龚发云(湖北工业大学 机械工程学院,湖北 武汉 430068;湖北省制造业创新方法与应用工程技术研究中心,湖北 武汉 430068);张董洁(湖北工业大学 机械工程学院,湖北 武汉 430068;湖北省制造业创新方法与应用工程技术研究中心,湖北 武汉 430068);徐光辉(湖北工业大学 电气与电子工程学院,湖北 武汉,430068)
Author:TANG Liang(School of Mechanical Eng., Hubei Univ. of Technol., Wuhan 430068, China;Hubei Eng. Research Center for Manufacturing Innovation Method, Wuhan 430068, China);LU Wenzheng(School of Mechanical Eng., Hubei Univ. of Technol., Wuhan 430068, China;Hubei Eng. Research Center for Manufacturing Innovation Method, Wuhan 430068, China);GONG Fayun(School of Mechanical Eng., Hubei Univ. of Technol., Wuhan 430068, China;Hubei Eng. Research Center for Manufacturing Innovation Method, Wuhan 430068, China);ZHANG Dongjie(School of Mechanical Eng., Hubei Univ. of Technol., Wuhan 430068, China;Hubei Eng. Research Center for Manufacturing Innovation Method, Wuhan 430068, China);XU Guanghui(School of Electrical and Electronic Eng., Hubei Univ. of Technol., Wuhan 430068, China)
收稿日期:2018-11-14 年卷(期)页码:2020,52(1):143-152
期刊名称:工程科学与技术
Journal Name:Advanced Engineering Sciences
关键字:PI控制器;滑模控制;增益;双幂次趋近律;模糊控制;激光切割
Key words:PI controller;sliding mode control;gain;double power reaching law;fuzzy control;laser cutting
基金项目:国家自然科学基金项目(61976083;61603127);湖北省自然科学基金项目(2016CFB513)
中文摘要
为了提高滚珠丝杠副激光切割平台的切割速度控制性能,基于双幂次趋近律滑模和模糊控制原理,提出了一种增益模糊自适应双幂次趋近律滑模控制方法。考虑到滚珠丝杠副存在各种轴向振动与扭转振动,采用集中参数方法建立了滚珠丝杠副运动系统的拉格朗日动力学模型,同时摩擦力的高度非线性对高精度的控制系统存在较大的影响,因此引入了Stribeck摩擦模型估计摩擦力;由于传统双幂次趋近律滑模控制存在抖振,引入饱和函数代替符号函数,在一定程度上抑制了控制系统的抖振;针对传统双幂次趋近律滑模控制的控制增益的动态调整性能不足,即固定增益很难保证激光切割的最佳动态控制效果,分析并建立了激光切割深度、速度与双幂次趋近律滑模控制增益之间的模糊关系,以激光切割深度作为自适应参考依据,采用基于模糊规则表的模糊控制方法自适应调整控制增益,增强了系统的鲁棒性和自适应性;经过与PI控制方法和传统双幂次趋近律滑模控制方法进行仿真实验比较,结果表明本文所提出的控制方法不仅解决了控制系统超调问题,而且提高了系统的响应速度和鲁棒性,有效地削弱了系统的抖振;同时搭建激光切割实验平台,通过在滚珠丝杠副激光切割平台上的激光切割实验,发现最佳的激光切割深度范围为电池片厚度的1/2~2/3,最佳的激光切割速度为200 mm/s。在此基础上,采用PI控制方法、传统双幂次趋近律滑模控制方法和本文所提出的控制方法进行电池片激光切割,实验结果表明,通过对比分析由金相显微镜获得的切割后电池片切缝图像,由本文所提出控制方法所得的电池片切缝平整,验证了本文所提控制方法在激光切割速度控制性能上的优越性。
英文摘要
In order to improve the cutting speed control performance of the ball screw sub-laser cutting platform, based on the principle of double power reaching law and fuzzy control,a controller of gain fuzzy adaptive double power reaching law was designed. The Lagrangian dynamic model of the ball screw pair motion system was established by lumped parameter method for considering the various axial and torsional vibrations of ball screw pair. Meanwhile, the Stribeck friction model was introduced to estimate the friction that high-precision control systems were greatly affected by the high nonlinearity of friction. Due to the chattering of the traditional double power reaching law, the saturation function was introduced instead of the symbol function, which inhibited the chattering of control system to some extent. The fuzzy relationship between the laser cutting depth, velocity and gain was analyzed and established.The fixed gain was difficult to ensure the optimal dynamic control effect of the laser cutting, based on the laser cutting depth as the adaptive reference, the fuzzy controller based on the fuzzy rule table adaptively adjusted the control gain, which enhanced the robustness and adaptability of the system. Simulation and experimental results showed that it was not only solved the overshoot problem of the control system, but also improved the response speed and robustness of the system, effectively weakened the chattering of the system compared with the PI controller and the traditional double power reaching law controller. Meanwhile, the laser cutting laboratory platform was built. It was found that the best laser cutting depth range was 1/2~2/3 the thickness of the cell, and the best laser cutting speed was 200 m/s by the laser cutting experiment on the ball screw sub-laser cutting platform. On this basis, the PI controller, the traditional double power reaching law controller and the control method proposed in this paper were used for laser cutting. By comparing and analyzing the slit image of battery obtained by the metallographic microscope, it was showed that the slit of the cell obtained by the control method proposed in this paper is flat, which verifies the superiority of the control method proposed in the laser cutting speed control performance.
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