基于切换多胞系统的高超声速飞行器鲁棒控制

Robust control of hypersonic vehicles based on switched polytopic systems

为了解决高超声速飞行器的包线跨度大和包线范围内模型参数时变系统的稳定与镇定问题,提出一种新的基于切换多胞系统的鲁棒控制方法.将飞行器包线范围内的飞行动态建模为切换多胞系统,采用基于参数依赖多胞Lyapunov函数与平均驻留时间方法,给出了系统在参数任意快变下渐近稳定的控制器综合方法.仿真结果表明:控制器具有良好的响应特性,可实现对指令的精确跟踪.该控制方法可克服传统切换控制的控制量输出跳跃现象,有助于降低系统分析与设计保守性.

To deal with the stability and stabilization problem of model parameter variation and the large-span maneuver flight of hypersonic vehicles, a robust stabilization control method was presented using switched polytopic systems. The dynamic variables of vehicle envelope were firstly divided into switched polytopic systems, and then the stability analysis was proved by employing switching parameter-dependent Lyapunov functions and the average dwell time method. Finally, the control synthesis was deduced for asymptotieal stability of the aircraft dynamics within the envelope. Simulation results demonstrate that the control scheme qualifies satisfactory response and provides satisfactory command tracking, and the proposed method avoids the state jumping in traditional switching controllers and it is with low analysis and design conservation.