Tube-based model predictive attitude control and active vibration control for flexible spacecraft

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (16) : 261-270.

GUAN Ping, WU Xiyan, GE Xinsheng

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Abstract

Considering the large angle attitude maneuvering, a Tube-based model predictive control (Tube-MPC) scheme is applied to the attitude control of flexible spacecraft. The model predictive control law is designed for the nominal system without considering disturbance. The nominal trajectory of flight attitude angle is generated by a nominal optimal control problem. For the flexible spacecraft, the flexible appendage vibration and external disturbance are regarded as compound disturbances. The auxiliary controller is presented which can drive the system state into the Tube invariant set around nominal trajectory, steer the system state toward the nominal trajectory and finally converges to the origin along the nominal trajectory. The Tube-based model predictive attitude controller can effectively deal with disturbances and the control input constraints are satisfied. Thus, the attitude angle command can be tracked precisely. At the same time, considering the vibration of the flexible appendages caused by the attitude maneuvering process, a full-order sliding mode active vibration controller is designed based on piezoelectric smart materials. The full-order sliding mode controller can effectively reduce chattering, so that the flexible vibration mode can be rapidly attenuate in the finite time. The simulation results show that the designed Tube-based model predictive attitude controller and full-order sliding mode active vibration controller can successfully suppress the vibration of the flexible appendages, and have better tracking performance for the attitude angle command.
Key words: flexible spacecraft; model predictive control; sliding mode control; attitude control; active vibration control

Key words

flexible spacecraft / model predictive control / sliding mode control / attitude control / active vibration control

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GUAN Ping, WU Xiyan, GE Xinsheng. Tube-based model predictive attitude control and active vibration control for flexible spacecraft[J]. Journal of Vibration and Shock, 2022, 41(16): 261-270

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