倾斜镜的变论域自适应模糊PID控制方法

An Adaptive Fuzzy PID Control Method of Variable Universefor Tip-tilt Mirror

自适应光学中倾斜镜能否精准稳定地跟踪目标取决于系统控制性能。根据控制系统性能指标的要求,提出一种变论域自适应模糊PID控制方法。根据辨识出的倾斜镜模型,建立倾斜镜的传递函数,并利用Simu⁃link建立系统模型,开展了变论域算法的仿真实验。仿真结果表明,与经典PID控制和模糊PID控制相比,变论域自适应模糊PID控制,无论在时域还是频域都有更小的系统跟踪误差,利用参数自整定的特性克服了系统参数变化对鲁棒性造成的不利影响,具有更好的动态性能。该方法既具有PID控制的鲁棒性,又具有模糊控制的调控能力,同时具备简单有效的参数整定与自适应作用。

The accuracy and stability of the tip-tilt mirror in adaptive optics depends on the control performance of the system.According to the requirement of the performance index of the control system,an adaptive fuzzy PID control method of variable universe is proposed.According to the identified tip-tilt mirror model,the transfer function of the tip-tilt mirror is established,and the system model is estab⁃lished by Simulink,and the simulation experiment of the variable universe algorithm is carried out.The simulation results show that compared with the classical PID control and the fuzzy PID control,the adap⁃tive fuzzy PID control of variable universe has smaller system tracking error in both time domain and fre⁃quency domain.At the same time,the adaptive fuzzy PID control has better dynamic performance by using the characteristics of parameter self-tuning to overcome the adverse effects of system parameter changes on the robustness.This method not only has the robustness of PID control,but also has the regula⁃tion ability of fuzzy control,and has simple and effective parameter tuning and adaptive function.