基于改进粒子群算法的ITAE标准型参数寻优

A Method Based on Improved PSO for Calculating the Parameters of ITAE Standard Forms

提出一种适用于计算积分时间和绝对误差(ITAE)标准型参数的基于改进粒子群算法(PSO)的寻优方法,针对基本PSO的早熟收敛缺点,引入随机权重和自然选择原理进行改进.在MATLAB环境下采用该方法分别对位移无静差、匀速无静差、匀加速无静差的ITAE最佳传递函数标准型参数寻优,并将寻优结果运用到高阶伺服系统ITAE最优控制中.仿真结果表明了该方法的有效性和优越性.该方法的提出,为误差泛函积分评价指标标准型参数寻优提供了有益的新思路,并且可根据需要直接利用这些标准传递函数进行控制系统的设计,将被控对象设计为对应的最优控制系统.此设计方法过程简单,操作灵活.

A method based on improved PSO for calculating the parameters of ITAE standard forms was proposed.In the MATLAB environment,the method employed improved PSO to search for ITAE standard forms of zero-displacement-error systems,zero-velocity-error systems and zero-acceleration-error systems,respectively.Then,simulation examples were given to prove its effectiveness and superiority.This method is not only able to quickly and accurately calculate the parameters of ITAE standard forms,but also provides useful new ideas for standard parameters optimization of other errors functional integral evaluation.These standards transfer functions can be directly used to the design of control systems,this method is simple and flexible in operation.