高速再入飞行器分数阶PI^(λ)D^(μ)稳定域分析

Hypersonic Reentry Vehicle Fractional-Order PI^(λ)D^(μ) Stability-Domain Analysis

高速飞行器再入过程中,具有参数大范围快速时变、强非线性的特性,对控制器的控制品质和稳定性提出了更高的要求。本文通过最优Oustaloup数字算法框图化实现分数阶PI^(λ)D^(μ)(Fractional-order PID,FOPID)控制器,建立高速飞行器参数时变的非线性模型,结合ITAE(Integrated Time and Absolute Error)指标利用遗传算法(Genetic Algorithm,GA)寻优整定分数阶PI^(λ)D^(μ)参数,然后针对选定的分数阶PI^(λ)D^(μ)控制器,利用D-分解法分析高速飞行器的马赫数及攻角稳定区域。最后结合跟踪微分器设计了改进的分数阶PI^(λ)D^(μ)控制器。仿真结果表明,分数阶PI^(λ)D^(μ)控制器在具有更好的控制品质的同时可以在大范围内实现高速飞行器的稳定飞行。

In the reentry process of high-speed aircraft, it has the characteristics of large range, fast time-varying and strong nonlinearity, which have higher requirements for the control quality and stability of the controller. Through deploying the optimal Oustaloup digital algorithm to achieve block diagram of fractional-order PI^(λ)D^(μ)(FOPID) controller, the time-varying parameters nonlinear model of hypersonic vehicle is established, ITAE index is combined with GA tuning parameters of fractional-order PI^(λ)D^(μ), and the D-decomposition is used to analyze the stability-domain of Mach number and angle of attack of the hypersonic vehicle for the selected fractional-order PI^(λ)D^(μ)controller. The simulation results show that fractional-order PID controller has better control quality and can achieve stable flight of the hypersonic vehicle within a wide range of Mach number and angle of attack.