用模型参数恢复法合成一种参数不变伺服驱动器

N. A. Malev
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Corrective devices synthesized by classical methods of automatic control theory cannot cope with providing the specified accuracy of reproduction of the input signal and the required quality of transients.   THE PURPOSE. In this regard, an important and urgent task is the synthesis of an active correction system with a non-stationary controller that provides the required quality and accuracy of the control process due to the coefficient self-tuning algorithm.   METHODS. When solving this problem, methods for identifying parameters based on the gradient algorithm and numerical integration of the object of study dynamics equations, implemented by means of the MatLab software environment, were used.   RESULTS. The paper solves the problem of synthesizing the self-tuning algorithm for the coefficients of the servo drive corrective device based on the identification approach. The parameters are identified by a searchless gradient algorithm while minimizing the discrepancy between the object of study and its inverse model, as well as restoring the coefficients of differential equations using integration and the corresponding computational procedures. An servo drive with negative position feedback is tuned to the modular optimum with a proportional controller whose coefficients are completely determined by the parameters to be identified. The self-tuning algorithm consists in calculating the correction factor of the non-stationary P-controller and forming a multiplicative channel of the active correction closed loop.   CONCLUSION. The simulation of the electric drive in the MatLab software environment showed high accuracy and quickness of the process identifying parameters in a wide range of their change. When forming an active correction contour, a necessary requirement is to distinguish between the identification cycle and the self-tuning cycle. 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引用次数: 0

摘要

的相关性。伺服驱动器以事先未知的设定动作的变化规律运行,并通过输出坐标提供该规律的再现。伺服驱动器在机器人和机电系统、机床、自动控制和远程信息传输系统、雷达站、制导单元等方面都有应用。伺服驱动器的运行往往是在电驱动参数和特性元件不稳定的情况下进行的。用经典的自动控制理论方法合成的校正装置不能满足输入信号的再现精度和瞬态质量的要求。的目的。在这方面,一个重要而紧迫的任务是合成一个具有非平稳控制器的主动校正系统,该控制器由于系数自整定算法而提供所需的控制过程质量和精度。方法。在求解该问题时,采用了基于梯度算法和研究对象动力学方程数值积分的参数辨识方法,并在MatLab软件环境下实现。结果。本文解决了基于辨识方法的伺服驱动校正装置系数自整定算法的综合问题。通过无搜索梯度算法对参数进行识别,同时最小化研究对象与其逆模型之间的差异,并利用积分和相应的计算程序恢复微分方程的系数。利用比例控制器将带负反馈的伺服驱动器调至模块化最优,比例控制器的系数完全由待辨识的参数决定。自整定算法包括计算非平稳p -控制器的校正因子,并形成主动校正闭环的乘法通道。结论。在MatLab软件环境下对电传动系统进行了仿真,结果表明,在大范围参数变化范围内识别参数的过程具有较高的准确性和快速性。在形成主动校正轮廓时,一个必要的要求是区分识别周期和自整定周期。这使得在参数不变电驱动运行过程中避免奇异扰动和减少谐振现象成为可能。所开发的主动校正方法先验已知且研究对象模型结构不变,使得在精度和质量指标允许偏差的参数扰动条件下,保持所需的电力驱动运行精度和质量成为可能。该方法的实施不需要额外的设备,不需要组织特殊的测试信号,计算成本显著。综合参数不变电驱动的方法可用于开发非平稳对象的鲁棒控制系统,包括当准平稳假设不满足时。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Synthesis of a parametrically invariant servo drive using the model parameters recovery method
   RELEVANCE. Servo drives operate with a law of change of the setting action unknown in advance and provide reproduction of this law by the output coordinate. Servo drives find application in robotic and mechatronic systems, machine tools, systems of automatic control and remote transmission of information, radar stations, guidance units, etc. The operation of servodrives often proceeds in conditions of instability parameters and characteristics elements of the electric drive. Corrective devices synthesized by classical methods of automatic control theory cannot cope with providing the specified accuracy of reproduction of the input signal and the required quality of transients.   THE PURPOSE. In this regard, an important and urgent task is the synthesis of an active correction system with a non-stationary controller that provides the required quality and accuracy of the control process due to the coefficient self-tuning algorithm.   METHODS. When solving this problem, methods for identifying parameters based on the gradient algorithm and numerical integration of the object of study dynamics equations, implemented by means of the MatLab software environment, were used.   RESULTS. The paper solves the problem of synthesizing the self-tuning algorithm for the coefficients of the servo drive corrective device based on the identification approach. The parameters are identified by a searchless gradient algorithm while minimizing the discrepancy between the object of study and its inverse model, as well as restoring the coefficients of differential equations using integration and the corresponding computational procedures. An servo drive with negative position feedback is tuned to the modular optimum with a proportional controller whose coefficients are completely determined by the parameters to be identified. The self-tuning algorithm consists in calculating the correction factor of the non-stationary P-controller and forming a multiplicative channel of the active correction closed loop.   CONCLUSION. The simulation of the electric drive in the MatLab software environment showed high accuracy and quickness of the process identifying parameters in a wide range of their change. When forming an active correction contour, a necessary requirement is to distinguish between the identification cycle and the self-tuning cycle. This makes it possible to avoid singular perturbations and reduce resonant facts during the operation of a parametrically invariant electric drive. The developed method of active correction with a priori known and unchanged structure of the object model of study makes it possible to maintain the required accuracy and quality of the operation of the electric drive under conditions of parametric disturbances with permissible deviations of accuracy and quality indicators. Implementation of the method does not require additional equipment, organization of special test signals, significant computational costs. The method of synthesizing a parametrically invariant electric drive can be used to develop robust control systems for non-stationary objects, including when the hypothesis of quasi-stationarity is not fulfilled.
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