分数阶PI^λD^μ控制器阶数变化对控制性能的影响

Influence of Order Variation of Fractional-order PI^λD^μ Controller on Controller＇s Performance

与传统整数阶PID控制器相比,分数阶PIλDμ控制器增加了两个可调参数,微分阶数μ与积分阶数λ。调节μ与λ的值就可以调节控制器微分环节与积分环节的强弱,使得分数阶PIλDμ控制器的设计更加灵活,控制性能更加优良。通过仿真实验详细研究了分数阶PIλDμ控制器的微分阶数μ与积分阶数λ变化对控制器控制性能的影响。仿真结果表明,μ与λ分别主要影响系统的超调和系统的稳态精度。

Compared with traditional integer-order PID controller, Fractional-order PI^λD^μ controller has two more adjustable parameters, differential order μ and integral order λ. We can adjust the value of μ and λ to adjust the strength of differential and integral parts of the controller, so Fractionalorder PI^λD^μ controller can be designed flexibly and its control performance is better. In the paper, through simulation experiment, the influence of order variation of differential order μ and integral order λ of Fractional-order PI^λD^μ controller on controller＇s performance is studied in detail. The simulation results verify that, μ and λ affect the overshoot of the system and the steady precision respectively.