面向开环与闭环复位控制的高阶正弦输入描述函数及其在机电系统中的应用
Higher-Order Sinusoidal Input Describing Functions for Open-Loop and Closed-Loop Reset Control with Application to Mechatronics Systems
AI总结：
针对复位控制系统频域分析不足的问题，本文提出通用复位反馈控制结构，推导开环与闭环高阶正弦输入描述函数，开发MATLAB工具，经实验验证整形复位控制器性能更优，为机电系统复位控制设计提供有效方法。
摘要：
复位控制可提升高精度机电系统的性能。本文提出了一种通用化复位反馈控制结构，该结构集成了单复位状态复位控制器、用于调整复位动作的整形滤波器，以及与复位控制器呈串联和并联配置的线性补偿器。该结构为优化复位控制性能提供了更高的调整灵活性。然而，此类系统的频域分析仍不完善。为填补这一空白，本研究做出了三项关键贡献：（1）为开环复位控制系统推导了高阶正弦输入描述函数（HOSIDFs）；（2）推导了闭环复位控制系统的HOSIDFs，并建立了其与开环分析的关联；（3）开发了一款基于MATLAB的应用程序以实现这些方法，为机电工程师提供了复位控制系统设计与分析的实用工具。所提方法的准确性通过仿真与实验得到了验证。最后，通过案例研究展示了所提方法的实用性：在精密运动平台上分析并对比了三种控制器的性能，分别为PID控制器、复位控制器和整形复位控制器。分析与实验结果均表明，整形复位控制器在降低驱动力的同时实现了更高的跟踪精度，性能优于复位控制器和PID控制器。这些研究结果凸显了所提频域方法在分析和优化复位控制机电系统性能方面的有效性。
英文摘要：
Reset control enhances the performance of high-precision mechatronics systems. This paper introduces a generalized reset feedback control structure that integrates a single reset-state reset controller, a shaping filter for tuning reset actions, and linear compensators arranged in series and parallel configurations with the reset controller. This structure offers greater tuning flexibility to optimize reset control performance. However, frequency-domain analysis for such systems remains underdeveloped. To address this gap, this study makes three key contributions: (1) developing Higher-Order Sinusoidal Input Describing Functions (HOSIDFs) for open-loop reset control systems; (2) deriving HOSIDFs for closed-loop reset control systems and establishing a connection with open-loop analysis; and (3) creating a MATLAB-based App to implement these methods, providing mechatronics engineers with a practical tool for reset control system design and analysis. The accuracy of the proposed methods is validated through simulations and experiments. Finally, the utility of the proposed methods is demonstrated through case studies that analyze and compare the performance of three controllers: a PID controller, a reset controller, and a shaped reset controller on a precision motion stage. Both analytical and experimental results demonstrate that the shaped reset controller provides higher tracking precision while reducing actuation forces, outperforming both the reset and PID controllers. These findings highlight the effectiveness of the proposed frequency-domain methods in analyzing and optimizing the performance of reset-controlled mechatronics systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
