北京航空航天大学学报 ›› 2013, Vol. 39 ›› Issue (8): 1106-1110.

• 论文 • 上一篇    下一篇

基于切换多胞的飞行器变增益输出反馈控制

李玮1, 王青1, 董朝阳2   

  1. 1. 北京航空航天大学 自动化科学与电气工程学院, 北京 100191;
    2. 北京航空航天大学 航空科学与工程学院, 北京 100191
  • 收稿日期:2012-09-06 修回日期:2012-12-06 出版日期:2013-08-30 发布日期:2013-09-03
  • 基金资助:
    国家自然科学基金资助项目(60974014)

Gain scheduled output-feedback control of aircraft using switched polytopic system approach

Li Wei1, Wang Qing1, Dong Chaoyang2   

  1. 1. School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;
    2. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2012-09-06 Revised:2012-12-06 Online:2013-08-30 Published:2013-09-03

摘要: 现代飞行器包线范围不断扩大,飞行器模型参数在飞行包线内呈现大范围变化的特点.针对包线范围参数时变飞行器的稳定性分析与输出反馈镇定问题,提出了基于切换多胞系统的飞行器模型描述方法.结合切换多胞Lyapunov函数与平均驻留时间方法,给出了保证飞行器包线范围渐近稳定的稳定性判据与静态输出反馈形式的变增益镇定控制器综合方法.将所提方法应用于高机动性飞行器的全包线飞行控制器设计,仿真结果表明:该设计方法可放宽对飞行器工作点的平均驻留时间约束,具备较低的设计保守性;所得变增益控制器可消除传统切换控制器的输出跳变现象,具有良好的瞬态响应特性.

Abstract: As the flight envelope becomes wider, modern aircraft are suffering from ever severer parameter variations over the operating envelope. To cope with the stability and output-feedback stabilization problem, a novel modeling technique was introduced first, which was based on the switched polytopic system approach. Employing switching polytopic Lyapunov functions and the average dwell time method, the criterion was deduced for asymptotical stability of the aircraft dynamics across the envelope. The control synthesis method was also provided, by which one obtained a static output-feedback stabilizing controller with varying gains. The proposed method was applied to the full-envelope control law synthesis of the highly maneuverable vehicle. Simulation results show that the design method features low design conservation in that it alleviates the average-dwell-time constraint on the aircraft flight conditions. The signal jumping in traditional switching controllers can be avoided and the satisfactory transient response can be achieved by the resultant gain-scheduled controller.

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