System identification and balanced truncation of fast steering mirror for laser communication
The voice coil actuator fast steering mirror is an actuator for precise tracking of laser communication,its flexible structure and dual-axis coupling characteristics must lead to complex control problems with increasing resonant modes and higher model order.Traditional identification methods,such as recursive least squares,struggle to establish accurate models that meet the requirements for high-precision controller design.For this problem,this paper proposed a method to build a high-precision model for fast steering mirrors based on the Hankel matrix model solution and balanced truncation.Firstly,the Hankel matrix can be established according to the system excitation sequence and response sequence,the model order can be determined according to the singular value decomposition,and the model parameters are determined based on the observable and controllable matrix solution.Secondly,the system's balanced realization can be established,and the model order can be reduced based on the principle of balanced truncation;the identification accuracy of the system model was compared from the frequency characteristics.The results showed that compared to the classical identification method,the system model established in this paper had lower order and higher identification accuracy.This approach fully satisfies the design and application requirements of modern theoretical high-performance control systems.
laser communicationvoice coil actuator fast steering mirrorsystem identificationbalanced truncation
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