Active control of flexible spacecraft in orbit based on partial differential equations

Area of Science:

• Aerospace Engineering
• Control Systems Theory
• Applied Mathematics

Background:

• Flexible spacecraft require precise vibration suppression for mission success, especially during complex maneuvers or in the presence of external disturbances.
• Existing control methods often struggle with input constraints and unpredictable external forces, limiting performance in dynamic space environments.

Purpose of the Study:

• To develop and validate an advanced control strategy for effective vibration suppression in flexible spacecraft systems.
• To address challenges posed by external disturbances and input constraints in spacecraft attitude control and deep space exploration.

Main Methods:

• Derivation of spacecraft dynamics using Hamilton's principle, resulting in a partial differential equation (PDE).
• Design of a backstepping controller incorporating a Nassbaum function and a disturbance observer to handle input constraints and external disturbances.
• Utilization of Lyapunov stability theory to guarantee system stability and select optimal control parameters.

Main Results:

• Numerical simulations demonstrate a significant reduction in settling time (by [Formula: see text]) and peak overshoot (by [Formula: see text]) compared to conventional Proportional-Derivative (PD) control.
• The proposed controller effectively suppresses vibrations and enhances system stability under challenging conditions.
• Validation of the controller's superiority in improving the dynamic performance of flexible spacecraft.

Conclusions:

• The developed control scheme offers a robust and efficient solution for vibration suppression in flexible spacecraft.
• This method significantly improves spacecraft performance and stability, showing potential for advanced space missions.
• The controller's ability to handle disturbances and constraints makes it suitable for demanding applications like deep space exploration and satellite attitude control.