针对新兴的分数阶控制理论,介绍了Caputo分数阶微分定义和分数阶控制系统描述形式。从拉氏反变换的角度推导了分数阶控制系统的时域运动公式;在研究改进Oustaloup算法的基础上,开发了分数阶La-place拉普拉斯算子仿真模块,设计了分数阶PIλDμ控制器,进而将其应用于飞机俯仰控制。仿真对比分析表明,所设计的分数阶控制器使飞机动态过程、控制精度、能量消耗及鲁棒性均有明显改善。 Aiming at the emerging fractional control theory, Caputo fractional differential definition and fractional order control system description are introduced. Based on the improved Oustaloup algorithm, a fractional La-place Laplacian simulation module is developed and a fractional order PIλDμ control is designed Then, it is applied to the aircraft pitch control. The simulation analysis shows that the designed fractional controller can significantly improve the aircraft dynamic process, control accuracy, energy consumption and robustness.