飞航导弹分数阶PID控制及其数字实现  

Using Fractional-order PID Controller for Control of Aerodynamic Missile

作　　者：张邦楚[1] 王少锋 韩子鹏[1] 李臣明[1] 

机构地区：[1]南京理工大学动力学院802教研室,南京210094 [2]洪都航空工业集团660所,南昌330024

出　　处：《宇航学报》2005年第5期653-656,共4页Journal of Astronautics

摘　　要：PID控制器在飞行控制中一直处在主导地位,因此有必要对它的控制品质和鲁棒性进行改进和提高。其中一种可能是将分数阶微积分原理把传统的PID控制器的阶次推广到分数领域,引出一种新的比例、积分、微分控制器—PIλDμ,它不但适合于分数阶系统,也适用于整数阶系统,并能够取得一些优于整数阶PID控制器的效果。最后给出了分数阶PIλDμ控制器的数字实现形式,并应用于某型飞航导弹。仿真结果表明该控制器不仅能提高系统的控制品质,而且该控制器对其本身参数和系统参数的变化并不敏感,具有更灵活的结构和更强的鲁棒性。Motivation on using the fractional-order PI^λD^μ controllers was that PID controllers belong to the dominating flight controllers and therefore there was a continuous effort to improve their quality and robustness. In this paper we presented a synthesis of the PI^λD^μ controllers, analysis of their behaviors and simulation methods. The mathematical description by the fractional differential equations and practical numerical algorithm for the new type of controllers were described. The PI^λD^μ controllers consisted in the extension of derivation and integration order from integer to non - integer numbers. This approach provided a more flexible tuning strategy and therefore an easier achieving of control requirements with respects to classical controllers. Flight dynamic model of an Aerodynamic missile had been taken into account to implement the PI^λD^μ Controllers. The simulation results showed that the PI^λD^μ controllers were not sensitive to the changes of control parameters and system parameters. At the same time, it had flexible structure and stronger robustness. Keyword Aerodynamic missile; fractional calculus; the PI^λD^μ controllers.

关 键 词：飞航导弹 分数阶微积分 分数阶PI^ΛD^Μ控制器 

分 类 号：V233.71[航空宇航科学与技术—航空宇航推进理论与工程]