红外技术, 2020, 42 (1): 40, 网络出版: 2020-02-24   

快速反射镜状态模型构建方法及其控制系统设计

State Model Construction Method for Fast Steering Mirror and Its Control System Design
作者单位
桂林航天工业学院,广西桂林 541004
摘要
为减少快速反射镜状态空间建模过程中所需的结构参数数量,提出了一种基于系统辨识的状态模型构建方法,采用该方法建立状态模型时只需使用音圈电阻和电感两个结构参数。基于状态模型,设计了一套由降阶观测器、状态反馈、内模和镇定补偿器构成的组合控制系统,利用状态反馈完成对内模和镇定补偿器的设计,通过设计降阶观测器实现对电流和角速度的获取,组合系统可同时实现对输入信号的渐进跟踪和干扰的抑制。在 SIMULINK中建立仿真模型,仿真结果显示,不考虑干扰作用时,相较于不完全微分 PID(Proportion Integration Differentiation)控制系统,组合系统的调节时间下降了 53.6%,超调量上升了 131.2%;加入干扰信号后,不完全微分 PID控制系统的动稳态性能有明显下降,而组合系统的输出性能基本不受影响。仿真结果验证了理论分析的正确性。
Abstract
To reduce structural parameters needed in the process of the state space modeling of a fast steering mirror (FSM), a modeling method based on system identification is proposed. Only two structural parameters, namely, coil resistance and inductance, are needed when using this modeling method. Based on the state model, a set of combined control systems consisting of a reduced-order observer, state feedback, an internal model, and a stabilization compensator were designed; the internal model and stabilization compensator were designed by using state feedback. Furthermore, current and angular velocity can be obtained using a reduced-order observer. The combined system can progressively track of input signals and suppress disturbances; the simulation model was built using SIMULINK. The simulation results show that, compared with the incomplete differential proportional integral derivative (PID) control system, the setting time decreases by 53.6% and the overshoot increases by 131.2% without considering the disturbance in the composite system. The dynamic and steady-state performance of the incomplete differential PID control system decreases significantly after adding the disturbance signal, while the composite system is maintained. The simulation results verify the correctness of the theoretical analysis.

艾志伟, 嵇建波, 李静, 黄书童. 快速反射镜状态模型构建方法及其控制系统设计[J]. 红外技术, 2020, 42(1): 40. AI Zhiwei, JI Jianbo, LI Jing, HUANG Shutong. State Model Construction Method for Fast Steering Mirror and Its Control System Design[J]. Infrared Technology, 2020, 42(1): 40.

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