# Design and Analysis of the Composite Stability Control of the Reflective Optoelectronic Platform
###### Abstract
However, the simplicity of the theoretical model used in the research papers limits a comprehensive understanding of the error source and compensation principles. Additionally, researchers have investigated design challenges related to tracking differentiators and expansion observers for photoelectric stabilized platforms, using active disturbance rejection control (ADRC) methods and the transition process to address the conflict between PID's rapid response and overshoot [15; 16]. Nevertheless, the effectiveness of these research improvements is constrained by the low-frequency phase lag issue caused by filters lacking a zero point. Some other researchers have used adaptive algorithms to enhance the stability error compensation process for optoelectronic platforms and validated their approach through simulations [15; 17; 18; 19; 20]. However, developing an adaptive algorithm model requires extensive empirical data and can be challenging to implement, raising questions about its practical utility in solving engineering problems. In summary, previous research has only focused on single methods of using reflectors and has limited practical value. Therefore, this paper concentrates on how to utilize the advantages of overall stability combined with the reflector method to overcome complex and coupled interference. This approach will improve the overall performance and application prospects of the platform. Specifically, this paper offers a comprehensive showcase of the theoretical approach to composite controller design, including an evaluation of design impacts and a complete solution framework for the reliable implementation of high precision reflectors. Through an exploration of the composite model, this study provides a more profound comprehension of the design principles and the origins of error, facilitating more efficient compensation and superior stability control. Compared to the ADRC control method and adaptive compensation method, the method proposed in this paper can provide a more practical solution for two-axis four-frame structures with complex manufacturing processes. The main reason is that the theoretical modeling and analysis process of the method proposed is relatively clear,does not require a large amount of sample data accumulation, and has been experimentally verified by real products under typical disturbances. Furthermore, performance of the proposed method is compared with traditional reflector stabilization methods and other existing classic methods, such as methods of the disturbance observer combined with zero phase error tracker (ZPETC) [21], XPC real-time simulation [22], optimized adaptive Kalman filtering [23], high-speed target tracking [24], LuGre and ADRC [18], back-stepping control [19], and RBFNN and SMC [20]. The stability precision, calculated by measuring the error range under constant frequency disturbance, is used as the comparison index. The reasons for using the above methods as comparison objects are that their application background and parameters of validation experiments are similar to those of this paper, and the experimental data of these studies are available, which can serve as comparative references for the method proposed.