摘要
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。
With regard to newly-emerging fractional order control theory,Caputo fractional order differential definition and representation of fractional order control systems are introduced.Time-domain kinematical equations for fractional order control systems are derived in terms of inverse Laplace transformation.Based on Oustaloup approximation algorithm analysis and modification,fractional order Laplace operator module is developed and fractional order PIλDμ controller is designed which is further applied to aircraft longtitudinal control.The simulation shows that the fractional order controller proposed can apparently improve aircraft dynamics,control precision,energy consumption and robustness performaces.
出处
《飞行力学》
CSCD
北大核心
2011年第5期44-48,共5页
Flight Dynamics
