基于积分滑模观测器的直线振荡电机谐振频率跟踪控制

doi:10.19595/j.cnki.1000-6753.tces.230781

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摘要现有直线振荡电机（LOM）无位置传感器谐振频率跟踪控制方法存在行程观测精度低、抗干扰能力差等问题,容易导致谐振频率跟踪精度低、频率振荡严重。为提高谐振频率跟踪控制性能,该文研究了一种基于积分滑模观测器（ISMO）的新型谐振频率跟踪控制方法。首先,基于LOM工作在系统谐振频率点时行程-电流相位差为90°的特点,提出一种双互相关函数比值方法,消除了行程变化对谐振频率跟踪控制的影响。其次,采用积分滑模面及新型趋近律设计ISMO,并利用二阶广义积分器获取行程估算信号,大大提高了行程估算精度。最后,对比实验结果表明,所提方法能够有效提高谐振频率跟踪精度、稳定时间及抗干扰能力。

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关键词 ：直线振荡电机（LOM）, 谐振频率跟踪控制, 积分滑模观测器（ISMO）, 双互相关函数比值（DCFR）方法, 二阶广义积分器（SOGI）

Abstract：In order to improve the safety and reliability of the system and achieve maximum output efficiency, it is necessary to simultaneously implement position sensorless piston stroke closed-loop control and resonant frequency tracking control for the linear oscillatory machine (LOM). Existing control methods for position sensorless resonance frequency tracking have low stroke estimation accuracy and poor anti-interference ability, which causes low resonant frequency tracking accuracy and severe frequency oscillation. This paper investigates a new resonant frequency tracking control method based on the integrated sliding mode observer (ISMO).
When the LOM operates at the system resonant frequency point, the phase difference between stroke and current is exactly 90°. Accordingly, a double cross-correlation function ratio (DCFR) method is proposed to track the system resonant frequency. A second-order generalized integrator (SOGI) generates the current orthogonal signal. This method can eliminate the influence of stroke on resonance frequency tracking control, thereby improving the anti-interference ability of the control system. An integrated sliding mode surface and a new reaching law are used to design an ISMO to reconstruct the information of back electromotive force (EMF). Since the back EMF is positively proportional to the velocity signal, the piston velocity can be calculated. The piston stroke can be obtained by integrating the velocity signal. However, specific DC components exist in the measured voltage and current, and a pure integrator can cause the integral saturation problem. Therefore, an SOGI is used to filter the estimated back EMF signal to obtain the accurate stroke estimation signal. Finally, due to the strong parameter robustness of ISMO and the anti-interference ability of DCFR, the combination of ISMO and DCFR is used to achieve the position sensorless resonant frequency tracking control. Experimental results show that the proposed method effectively improves the tracking accuracy, settling time, and anti-interference ability.
The following conclusions can be drawn from the experiment analysis. (1) The constructed ISMO has higher stroke estimation accuracy than the back electromotive force integration method. (2) The position sensorless resonant frequency tracking control can be achieved using the estimated stroke signals of ISMO. (3) By constructing the ratio of two DC components, the proposed DCFR method eliminates the influence of stroke variation and obtains steady and accurate resonant frequency tracking results. (4) Based on the DCFR method, the ISMO and back EMF integration methods are used to track the resonant frequency. The results show that ISMO achieves higher tracking accuracy by providing more accurate stroke signals than the conventional back EMF.

Key words： Linear oscillatory machine (LOM) resonance frequency tracking control integral sliding mode observer (ISMO) double cross-correlation function ratio (DCFR) method second-order generalized integrator (SOGI)

收稿日期: 2023-05-29

PACS:

TM32

基金资助:国家自然科学基金面上项目（52277050）、深圳市协同创新计划国际科技合作项目（GJHZ20210705142539007）资助

通讯作者: 徐伟, 男,1980年生,教授,博士生导师,研究方向为直线电机设计及控制。E-mail: weixu@hust.edu.com

作者简介: 廖凯举, 男,1991年生,博士,研究方向为直线振荡电机高性能控制算法及无位置传感器方法。E-mail: kaijuliao@mail.iee.ac.cn

引用本文:

廖凯举, 徐伟, 葛健, 李东一, 苏诗湖, 邓江明. 基于积分滑模观测器的直线振荡电机谐振频率跟踪控制[J]. 电工技术学报, 2024, 39(14): 4366-4376. Liao Kaiju, Xu Wei, Ge Jian, Li Dongyi, Su Shihu, Deng Jiangming. Resonant Frequency Tracking Control of Linear Oscillatory Machine Based on Integral Sliding Mode Observer. Transactions of China Electrotechnical Society, 2024, 39(14): 4366-4376.

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