Adaptive control of piezoelectric fast steering mirror for high precision tracking application

Adaptive control of piezoelectric fast steering mirror for high precision tracking application
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用于高精度跟踪应用的压电快速转向镜自适应控制

DOI:
10.1088/0964-1726/24/3/035019
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发表时间:
2015-02
影响因子:
4.1
通讯作者:
Changhui Rao
Changhui Rao
中科院分区:
材料科学3区
文献类型:
--
作者:
Geng Wang;Changhui Rao

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压电快速控制反射镜(PFSM)是一个集光、机、电、控制于一体的复杂、强耦合非线性系统。由于存在迟滞非线性、机械共振和各种干扰,PFSM的精确跟踪控制是一个具有挑战性的任务。本文提出了一个全面的研究建模,控制器设计和仿真评估的PFSM系统。首先提出了一种综合机械动力学、电气动力学和迟滞非线性的PFSM系统的一般模型,然后在未知迟滞非线性和参数不确定性的情况下设计了一种鲁棒自适应控制器。直接在制定的控制器所需的参数自适应估计。所提出的控制律保证了闭环系统中所有信号的一致有界性。此外,控制系统的稳定性分析进行,以确保输出跟踪误差渐近收敛到零。最后,通过不同运动轨迹的仿真实验,验证了该方法的有效性。
A piezoelectric fast steering mirror (PFSM) is a complex, strong coupling nonlinear system that integrates optics, mechanics, electrics, and control. Due to the existence of hysteresis nonlinearity, mechanical resonance, and all kinds of disturbances, precise tracking control of a PFSM is a challenging task. This paper presents a comprehensive study of modeling, controller design, and simulation evaluation for a PFSM system. First a general model of a PFSM system integrating mechanical dynamics, electrical dynamics, and hysteresis nonlinearity is proposed, and then a robust adaptive controller is developed under both unknown hysteresis nonlinearities and parameter uncertainties. The parameters needed directly in the formulation of the controller are adaptively estimated. The proposed control law ensures the uniform boundedness of all signals in the closed-loop system. Furthermore, a stability analysis of the control system is performed to guarantee that the output tracking error converges to zero asymptotically. Finally, simulation tests with different motion trajectories are conducted to verify the effectiveness of the proposed method.
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