实用自控装置稳定性分析和PID校正理论设计

Stability Analysis and PID Correction Design of a Practical Automatic Control Device

通过拟合实用自动交流调压器的传递函数,在频域和时域两方面对其进行稳定性分析及PID校正理论设计,并据此设计了新的自动控制研究性自主性实验。根据自控理论对调压器在适当校正环节下的动态曲线进行二阶近似拟合,求出其无阻尼自然频率和阻尼比,进而求出调压器在无校正环节时的近似闭环传递函数。故可在调压器系统中加入各种校正环节,在频域中根据bode图分析调压器的稳定性和进行PID校正理论设计,还可在时域中直观地表现出频域的分析结果,并加以实验验证。该方法对于实用自控装置的工程设计有所裨益;作为研究性实验也较为理想。

Based on fitting the transfer function of a practical automatic alternating voltage regulator,the stability of the system was analyzed in the frequency domain and time domain, as well as the PID （proportion-integral-derivative） correction theoretical design. Furthermore, a new researching experiment on automatic control was designed. From the approximation to the dynamic response on the appropriate proportion correction with a second order curve＇, the nondamped natural frequency and damping ratio of the system are obtained, and the closed-loop transfer function without correction is derived. Therefore,a variety of the PID correction can be designed and the stability of the system can be analyzed with bode plot in frequency domain. Moreover, the analysis results can be demonstrated with the dynamic response curve in time domain and testified with experiments. The design method given above is of great benefit to engineering design and the researching experiment.