Attitude tracking control of spacecraft with preset-time preset-bounded convergence
Corresponding Author
An-Min Zou
Department of Electronic and Information Engineering, College of Engineering, Shantou University, Shantou, China
State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China
Guangdong Provincial Key Laboratory of Digital Signal and Image Processing, Shantou, China
Key Laboratory of Intelligent Manufacturing Technology, Ministry of Education, Shantou University, Shantou, China
Correspondence
An-Min Zou, Department of Electronic and Information Engineering, College of Engineering, Shantou University, Shantou 515063, China.
Email: [email protected]
Search for more papers by this authorYangyang Liu
Department of Electronic and Information Engineering, College of Engineering, Shantou University, Shantou, China
Search for more papers by this authorCorresponding Author
An-Min Zou
Department of Electronic and Information Engineering, College of Engineering, Shantou University, Shantou, China
State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China
Guangdong Provincial Key Laboratory of Digital Signal and Image Processing, Shantou, China
Key Laboratory of Intelligent Manufacturing Technology, Ministry of Education, Shantou University, Shantou, China
Correspondence
An-Min Zou, Department of Electronic and Information Engineering, College of Engineering, Shantou University, Shantou 515063, China.
Email: [email protected]
Search for more papers by this authorYangyang Liu
Department of Electronic and Information Engineering, College of Engineering, Shantou University, Shantou, China
Search for more papers by this authorFunding information: Guangdong Basic and Applied Basic Research Foundation, Grant/Award Number: 2021A1515012016; Shantou University (STU) Scientific Research Foundation for Talents, Grant/Award Number: NTF18015
Abstract
This article addresses the issue of attitude tracking control of rigid spacecraft in the existence of bounded external disturbances. By introducing a smooth time-varying scaling function, a preset-time sliding mode surface is designed. Then, a nonsingular and continuous preset-time preset-bounded attitude tracking control scheme is developed. The distinctive feature of the present control law is that the size of the convergence region and the settling time can be prescribed a priori. In addition, the proposed control scheme exhibits superiority in reducing the magnitude of the applied control torques and saving energy. At last the feasibility of the derived control protocol is illustrated by numerical simulations including a comparative example.
CONFLICT OF INTEREST
The authors declare that they have no conflict of interest.
Open Research
DATA AVAILABILITY STATEMENT
Data sharing is not applicable to this article as no dataset was generated in the current study.
REFERENCES
- 1Du H, Li S, Qian C. Finite-time attitude tracking control of spacecraft with application to attitude synchronization. IEEE Trans Automat Contr. 2011; 56(11): 2711-2717.
- 2Zou AM. Finite-time output feedback attitude tracking control for rigid spacecraft. IEEE Trans Control Syst Technol. 2014; 22(1): 338-345.
- 3Zou AM, Kumar KD. Finite-time attitude control for rigid spacecraft subject to actuator saturation. Nonlinear Dyn. 2019; 96(2): 1017-1035.
- 4Gui H, Vukovich G. Finite-time angular velocity observers for rigid-body attitude tracking with bounded inputs. Int J Robust Nonlinear Control. 2017; 27(1): 15-38.
- 5Zou AM, Kumar KD, Hou ZG, Liu X. Finite-time attitude tracking control for spacecraft using terminal sliding mode and Chebyshev neural network. IEEE Trans Syst Man Cybern B Cybern. 2011; 41(4): 950-963.
- 6Lu K, Xia Y. Adaptive attitude tracking control for rigid spacecraft with finite-time convergence. Automatica. 2013; 49(12): 3591-3599.
- 7Andrieu V, Praly L, Astolfi A. Homogeneous approximation, recursive observer design, and output feedback. SIAM J Control Optim. 2008; 47(4): 1814-1850.
- 8Polyakov A. Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Automat Contr. 2012; 57(8): 2106-2110.
- 9Polyakov A, Efimov D, Perruquetti W. Finite-time and fixed-time stabilization: implicit Lyapunov function approach. Automatica. 2015; 51: 332-340.
- 10Jiang B, Hu Q, Friswell MI. Fixed-time attitude control for rigid spacecraft with actuator saturation and faults. IEEE Trans Control Syst Technol. 2016; 24(5): 1892-1898.
- 11Huang B, Li AJ, Guo Y, Wang CQ. Fixed-time attitude tracking control for spacecraft without unwinding. Acta Astronaut. 2018; 151: 818-827.
- 12Chen Q, Xie S, Sun M, He X. Adaptive non-singular fixed-time attitude stabilization of uncertain spacecraft. IEEE Trans Aerosp Electron Syst. 2018; 54(6): 2937-2950.
- 13Sun H, Hou L, Zong G, Yu X. Fixed-time attitude tracking control for spacecraft with input quantization. IEEE Trans Aerosp Electron Syst. 2019; 55(1): 124-134.
- 14Zou AM, Kumar KD, de Ruiter A. Fixed-time attitude tracking control for rigid spacecraft. Automatica. 2020; 113:108792. doi:10.1016/j.automatica.2019.108792
- 15Zou AM, Fan Z. Fixed-time attitude tracking control for rigid spacecraft without angular velocity measurements. IEEE Trans Ind Electron. 2020; 67(8): 6795-6805.
- 16Wang L, Chai T, Zhai L. Neural-network-based terminal sliding mode control of robotic manipulators including actuator dynamics. IEEE Trans Ind Electron. 2009; 56(9): 3296-3304.
- 17Zuo ZY. Non-singular fixed-time terminal sliding mode control of non-linear systems. IET Control Theory Appl. 2015; 9(4): 545-552.
- 18Bercerra HM, Vazquez CR, Arechavaleta G, Delfin J. Predefined-time convergence control for high-order integrator systems using time base generators. IEEE Trans Control Syst Technol. 2018; 26(5): 1866-1873.
- 19Munoz-Vazqez AJ, Sanchez-Torres JD, Jimenez-Rodriguez E, Loukianov AG. Predefined-time robust stabilization of robotic manipulators. IEEE Trans Mechatron. 2019; 24(3): 1033-1040.
- 20Wu C, Yan J, Shen J, Wu X, Xiao B. Predefined-time attitude stabilization of receiver aircraft in aerial refueling. IEEE Trans Circuits Syst II Exp Briefs. 2021; 68(10): 3321-3325.
- 21Wang F, Miao Y, Li C, Hwang I. Attitude control of rigid spacecraft with predefined-time stability. J Franklin Inst. 2020; 357(7): 4212-4221.
- 22Shi Z, Zhao FY, Wang X, Jin ZH. Satellite attitude tracking control of moving targets combining deep reinforcement learning and predefined-time stability considering energy optimization. Adv Space Res. 2022; 69(5): 2182-2196.
- 23Ye D, Zou AM, Sun Z. Predefined-time predefined-bounded attitude tracking control for rigid spacecraft. IEEE Trans Aerosp Electron Syst. 2022; 58(1): 464-472.
- 24Xie S, Chen Q. Adaptive nonsingular predefined-time control for attitude stabilization of rigid spacecrafts. IEEE Trans Circuits Syst II Exp Briefs. 2022; 69(1): 189-193.
- 25Liu C, Yue X, Zhang J, Shi K. Active disturbance rejection control for delayed electromagnetic docking of spacecraft in elliptical orbits. IEEE Trans Aerosp Electron Syst. 2022; 58(3): 2257-2268.
- 26Song Y, Wang Y, Holloway J, Kristic M. Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time. Automatica. 2017; 83: 243-251.
- 27Li K, Hua C, You X, Ahn CK. Output feedback predefined-time bipartite consensus control for high-order nonlinear multiagent systems. IEEE Trans Circuits Syst I Regul Pap. 2021; 68(7): 3069-3078.
- 28Ning B, Han QL, Zuo Z. Practical fixed-time consensus for integrator-type multi-agent systems: a time base generator approach. Automatica. 2019; 105: 406-414.
- 29Hughes PC. Spacecraft Attitude Dynamics. Wiley; 1986.
- 30Shuster MD. A survey of attitude representations. J Astronaut Sci. 1993; 41(4): 439-517.
- 31Xing GQ, Parvez SA. Nonlinear attitude state tracking control for spacecraft. AIAA J Guid Control Dyn. 2001; 24: 624-626.
- 32Rosier L. Homogeneous Lyapunov function for homogeneous continuous vector field. Syst Control Lett. 1992; 19(6): 467-473.
- 33 Zou AM, Liu Y, Hou ZG, Hu Z. Practical predefined-time output feedback consensus tracking control for multi-agent systems. IEEE Trans Cybern. 2022. doi:10.1109/TCYB.2022.3207325
- 34 Zhang H, Ye D, Xiao Y, Sun Z. Adaptive control on SE(3) for spacecraft pose tracking with Harmonic disturbance and input saturation. IEEE Trans Aerosp Electron Syst. 2022. doi:10.1109/TAES.2022.3165524
- 35Li Y, Ye D. Near time-optimal controller based on analytical trajectory planning algorithm for satellite attitude maneuver. Aerosp Sci Technol. 2019; 84: 497-509.
- 36Shi K, Liu C, Sun Z, Yue X. Coupled orbit-attitude dynamics and trajectory tracking control for spacecraft electromagnetic docking. Appl Math Model. 2022; 101: 553-572.
- 37Li Y, Li K, Tong S. Finite-time adaptive fuzzy output feedback dynamic surface control for MIMO nonstrict feedback systems. IEEE Trans Fuzzy Syst. 2019; 27(1): 96-110.
- 38Li Y, Li K, Tong S. Adaptive neural network finite-time control for multi-input and multi-output nonlinear systems with positive powers of odd rational numbers. IEEE Trans Neural Netw Learn Syst. 2020; 31(7): 2532-2543.
- 39Wen JT, Kreutz-Delgado K. The attitude control problem. IEEE Trans Automat Contr. 1991; 36(10): 1148-1162.
- 40Bialke B. High fidelity mathematical modeling of reaction wheel performance. Adv Astronaut Sci. 1998; 98: 483-496.
