A time-varying feedback finite time control method for controlling a limited satellite formation flight system comprises the steps: step 1, establishing an orbital dynamics model for controlling the limited satellite formation flight system and obtaining a state-space equation, establishing a to-be-tracked signal model and obtaining the state-space equation; step 2, establishing a parameter Lyapunov equation and analyzing the property of the parameter Lyapunov equation, designing an explicit linear time-varying feedback control law through a positive definite solution of the parameter Lyapunovequation, establishing an output adjustment equation, and designing an explicit linear time-varying feedforward control law through a solution of the output adjustment equation; and designing a time-varying state controller for controlling the limited satellite formation flight system through a linear time-varying feedback control law and a linear time-varying feedforward control law; and step 3,constructing an explicit Lyapunov function, and designing controller parameters by utilizing the properties of a parameter Lyapunov equation and an adjustment equation solution to ensure that the accompanying satellite completes a tracking task within finite time. The invention aims to realize finite time control of the satellite formation flight system under the condition of limited control.
控制受限卫星编队飞行系统的时变反馈有限时间控制方法,方法包括,步骤一:建立控制受限卫星编队飞行系统的轨道动力学模型并得到状态空间方程,建立待跟踪信号模型并得到状态空间方程;步骤二:建立参量Lyapunov方程并分析其性质,通过参量Lyapunov方程的正定解,设计显式的线性时变反馈控制律,建立输出调节方程,通过输出调节方程的解,设计显式的线性时变前馈控制律,通过线性时变反馈控制律和线性时变前馈控制律设计控制受限卫星编队飞行系统的时变状态控制器;步骤三:通过构造显式的Lyapunov函数,利用参量Lyapunov方程和调节方程解的性质设计控制器参数,保证伴飞卫星在有限时间内完成跟踪任务。本发明为实现控制受限情形下卫星编队飞行系统的有限时间控制。
Time-varying feedback finite time control method for controlling limited satellite formation flight system
控制受限卫星编队飞行系统的时变反馈有限时间控制方法
2021-01-29
Patent
Elektronische Ressource
Chinesisch
Distributed finite-time configuration containment control for satellite formation
SAGE Publications | 2017
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