基于微分进化算法的二自由度PID控制器参数优化

针对二自由度PID控制器参数多、调节困难等问题,提出了一种基于微分进化算法参数调节优化方法。证明了微分进化算法能够收敛到平稳点,并具有概率全局收敛性。研究了二自由度PID控制器参数与抑制特性、跟踪特性的关系,并将微分算法与遗传算法、粒子群算法的参数优化结果进行了比较。仿真验证表明,微分算法能够更好地实现二自由度PID控制器参数的调节,具有优异的跟踪特性和抑制特性。

Optimization of 2D freedom PID controller parameters based on DE

With regard to the parameter regulation problem with 2D freedom PID controllers which have multiple parameters,a parameter regulation and optimization method is put forward based on differential evolution(DE) algorithm,which can converge to the equilibrium point with global convergence in probability.The relation between 2D freedom PID controller parameters and the suppression and tracking characteristics is studied,and parameter optimization results using the DE algorithm are compared with those using the genetic algorithm and the PSO algorithm respectively.Simulation shows that the DE algorithm can regulate 2D freedom PID controllers very well with excellent tracking and suppression characteristics.