Regular Papers

International Journal of Control, Automation and Systems 2022; 20(7): 2129-2147

Published online June 9, 2022

https://doi.org/10.1007/s12555-021-0366-8

© The International Journal of Control, Automation, and Systems

Fixed-time Coordinated Attitude Tracking Control for Spacecraft Formation Flying Considering Input Amplitude Constraint

Ming-Lei Zhuang and Shen-Min Song*

Harbin Institute of Technology

Abstract

This paper studies the fixed-time stability of coordinated attitude tracking control under consideration of an input amplitude constraint. The attitude dynamics is described by rotation matrix, which avoids the unwinding phenomenon. By designing and analyzing the proposed nonsingular terminal sliding mode surfaces (NTSMSs) step by step, a novel saturated NTSMS is finally established. This NTSMS has theoretical and practical advantages over other existing NTSMSs, such as its fixed-time convergence property and boundedness. Based on it, two fixed-time coordinated controllers are developed. The first one effectively decreases the amplitude of the control input, whereas the second prevents saturation. Both controllers keep the attitude synchronization task be finished in fixed-time and provide better performance than existing controllers. Specific expressions of the regions to which the system states to converge are obtained using Lyapunov stability theory. Simulation results testify the correctness of the proposed theorems.

Keywords Adaptive control, fixed-time stability, input saturation, sliding mode control, spacecraft attitude.

Article

Regular Papers

International Journal of Control, Automation and Systems 2022; 20(7): 2129-2147

Published online July 1, 2022 https://doi.org/10.1007/s12555-021-0366-8

Copyright © The International Journal of Control, Automation, and Systems.

Fixed-time Coordinated Attitude Tracking Control for Spacecraft Formation Flying Considering Input Amplitude Constraint

Ming-Lei Zhuang and Shen-Min Song*

Harbin Institute of Technology

Abstract

This paper studies the fixed-time stability of coordinated attitude tracking control under consideration of an input amplitude constraint. The attitude dynamics is described by rotation matrix, which avoids the unwinding phenomenon. By designing and analyzing the proposed nonsingular terminal sliding mode surfaces (NTSMSs) step by step, a novel saturated NTSMS is finally established. This NTSMS has theoretical and practical advantages over other existing NTSMSs, such as its fixed-time convergence property and boundedness. Based on it, two fixed-time coordinated controllers are developed. The first one effectively decreases the amplitude of the control input, whereas the second prevents saturation. Both controllers keep the attitude synchronization task be finished in fixed-time and provide better performance than existing controllers. Specific expressions of the regions to which the system states to converge are obtained using Lyapunov stability theory. Simulation results testify the correctness of the proposed theorems.

Keywords: Adaptive control, fixed-time stability, input saturation, sliding mode control, spacecraft attitude.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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eISSN 2005-4092
pISSN 1598-6446