复杂系统的分数阶内模控制器设计

针对高阶复杂系统提出一种分数阶内模控制器设计方法。利用微粒群算法(PSO)进行模型化简，基于内模控制(IMC)原理设计分数阶控制器，该控制器仅有一个可调参数，并根据鲁棒性能指标给出控制器参数整定的解析表达式。仿真结果表明，该方法可以使系统同时具有良好的目标值跟踪特性、扰动抑制特性以及克服参数变化的鲁棒性。

Design of Fractional Order Internal Model Controller for Complex System

A designing method of fractional order internal model controller is proposed for complex systems. Firstly, the model is reduced by using the particle swarm optimization(PSO) algorithm. Then a fractional order controller is designed based on the principles of internal model control(IMC). The controller has only one adjustable parameter. Moreover, according to a robustness index, the analytical expression of controller parameter tuning is given. The simulation results show that the fractional order internal model controller can provide a better dynamic performance of both the command tracking and disturbance rejection and a better robustness against the parameters perturbation of the system.