典型二阶系统的单纯形法PID参数优化设计

Optimal Design of PID Parameters of a Typical Second-Order System by Simplex Method

针对典型二阶系统,提出了一种基于单纯形法的PID参数优化设计方法。通过对目标函数进行建立和分析,将PID控制器引入系统中,再通过使用单纯形法对PID参数进行优化,得到最优的参数组合,以实现对系统的稳定性和性能的优化。实验结果表明,提出的单纯形法得到的最优参数能有效改善二阶系统的控制性能,并具有一定的实用价值。

Aiming at a typical second-order system,a PID parameter optimisation design method based on the simplex method is proposed.By establishing and analysing the objective function,the PID controller is introduced into the system,and then the PID parameters are optimized by using the simplex method to obtain the optimal parameter combinations to optimize the stability and performance of the system.The experimental results show that the optimal parameters obtained by the proposed simplex method can effectively improve the control performance of the second-order system and have certain practical value.