首页|期刊导航|光学精密工程|压电快速反射镜μ综合优化的高增益回路整形控制方法

压电快速反射镜μ综合优化的高增益回路整形控制方法OA

High-gain loop shaping control method based on μ-synthesis optimization for piezoelectric fast steering mirrors

中文摘要英文摘要

为了提高压电快速反射镜(Fast Steering Mirror,FSM)的跟踪性能与抗扰性能,本文提出了一种基于μ综合优化的高增益回路整形(μ-synthesis-Optimized High-Gain Loop Shaping,Oμ-HGLS)方法.首先,在迟滞逆补偿基础上辨识压电快速反射镜的动态特性,并将建模误差视作模型不确定性.然后,利用μ综合方法对滤波器Q进行鲁棒性能优化,在考虑模型不确定性的基础上提高回路增益,从而在保证系统鲁棒稳定性的同时提升跟踪及抗干扰性能.最后,在压电快速反射镜上进行对比实验,验证了所提Oμ-HGLS方法的有效性.实验结果表明,在跟踪100 Hz正弦轨迹时,Oμ-HGLS方法的均方根误差相较于传统的HGLS方法降低了约53.4%,相较于H∞优化的高增益回路整形(H∞-Opti-mized High-Gain Loop Shaping,Oh-HGLS)方法降低了约18.7%.在单频率扰动下,Oμ-HGLS方法的均方根误差相较于HGLS方法下降了约54.8%,相较于Oh-HGLS方法下降了约17.6%.上述结果表明提出的方法在提升压电快速反射镜控制性能方面具有显著优势,为高精度运动控制提供了一种有效的控制策略.

To enhance the tracking performance and disturbance rejection capability of a piezoelectric Fast Steering Mirror(FSM),this paper proposed a u-synthesis-optimized high-gain loop shaping(Oμ-HGLS)method.First,based on hysteresis inverse compensation,the dynamic characteristics of the piezoelectric FSM were identified,and the modeling errors were treated as model uncertainties.Then,the μ-synthesis method was employed to perform robust performance optimization of the Q filter,increasing the loop gain while accounting for model uncertainties,thereby improving tracking accuracy and disturbance rejection without compromising system robustness.Finally,comparative experiments were conducted on the piezo-electric FSM to validate the effectiveness of the proposed Oμ-HGLS method.Experimental results demon-strate that when tracking a 100 Hz sinusoidal trajectory,the root mean square error of the Oμ-HGLS meth-od is reduced by approximately 53.4%compared to the conventional HGLS method,and by approximate-ly 18.7%compared to the H∞-optimized high-gain loop shaping(Oh-HGLS)method.Under a single-fre-quency disturbance,the root mean square error of the Oμ-HGLS method is reduced by approximately 54.8%relative to the HGLS method and by approximately 17.6%relative to the Oh-HGLS method.The above results demonstrate that the proposed method has significant advantages in improving the control performance of piezoelectric fast steering mirrors,providing an effective control strategy for high-precision motion control.

张桂林;王伟佳;刘浩天

山东科技大学 电气与自动化工程学院,山东青岛 266590山东科技大学 电气与自动化工程学院,山东青岛 266590山东科技大学 电气与自动化工程学院,山东青岛 266590

信息技术与安全科学

压电快速反射镜高增益回路整形μ综合优化高精度运动控制

piezoelectric fast steering mirrorμ-synthesis optimizationhigh-gain loop shapinghigh-pre-cision motion control

《光学精密工程》 2026 (16)

2484-2497,14

国家自然科学基金项目(No.U23A20336,No.61933006)

10.37188/OPE.20263416.2484

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