一种基于拟合目标函数随动系统的建模与仿真

A Modeling and Simulation of Servo System Based on Fitting Objective Function

随动系统主要用于跟踪空中飞行目标,目标的方位可以由水平方位角和高低角度确定,由于水平角和高低角随时间变化的函数往往很复杂,在求控制系统的稳态误差时,难以对目标输入函数进行拉普拉斯变换;采用一种用曲线来拟合逼近目标函数的方法,达到了很好的效果;进而根据系统精度要求可以确定控制系统的放大增益。通过对随动系统的控制和分析,建立控制系统的数学模型,得到随动系统跟随目标函数的响应曲线;随动系统要求有很好的稳定性和很高的精度,采用了一种滞后-引前的校正方法,用MATLAB仿真模拟,并进行时域和频域的综合分析,得到了理想的仿真结果。

The servo system is used to track air target, the target’s location can be determined by the horizontal azimuth angle and height angle, while the level angle and height angle changed over time are complex. In order to calculate steady-state error for the control system, it is difficult to achieve the Laplace transform. By using method of curve fitting approach, it can attain a good result. The amplifier gain of the control system can be determined based on the system accuracy. A mathematical model of the control system was created and the servo system’s response curve with the objective function was got by controlling and analysing the servo system. The servo system requires a good stability and high precision. A correction method was used and MATLAB was used to analyse the time domain and frequency domain. The system was simulated by using Simulink to create an ideal simulation result.