飞机中性速度稳定性PI^λD^μ控制律设计

Neutral speed stability control law design of aircraft based on fractional order PI^λD^μ

针对现代战斗机中性速度稳定性控制律采用整数阶PID控制器而带来的诸多缺陷,利用分数阶PIλDμ控制器进行了重新设计。首先,介绍了分数阶微积分定义;然后,通过对比整数阶PID,分析了分数阶PIλDμ的优点,并在研究改进Oustaloup算法基础上,开发了分数阶拉普拉斯算子仿真模块,设计了分数阶PIλ控制器;最后,将分数阶PIλ控制器应用于飞机中性速度稳定性控制律的设计。仿真对比分析表明,所设计的分数阶PIλ控制器使飞机中性速度稳定性有明显改善。

With regard to defects of neutral speed stability control law owing to using PID controller in modern aircraft, the law is redesigned using fractional order PI^λD^μ controller. Firstly, fractional order calculous definition is introduced. Secondly, merits of PI^λD^μ controller are analysed via comparing with PID controller; based on Oustaloup approximation algorithm analysis and modification, fractional order Laplace operator module is developed and further fractional order PIA controller is designed. Finally, PI^λ controller is applied, to design of neutral speed stability control law. Simulation shows that the fractional order PI^λ controller proposed can apparently improve aircraft＇ s neutral speed stability performace.