Attitude Control of Multiple Rigid Bodies with Uncertainties and Disturbances

Yuanqing Xia; Ning Zhou; Kunfeng Lu; Yong Li

Volume 2 Issue 1

Jan. 2015

IEEE/CAA Journal of Automatica Sinica

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Yuanqing Xia, Ning Zhou, Kunfeng Lu and Yong Li, "Attitude Control of Multiple Rigid Bodies with Uncertainties and Disturbances," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 1, pp. 2-10, 2015.

Citation:

Yuanqing Xia, Ning Zhou, Kunfeng Lu and Yong Li, "Attitude Control of Multiple Rigid Bodies with Uncertainties and Disturbances," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 1, pp. 2-10, 2015.

Yuanqing Xia, Ning Zhou, Kunfeng Lu and Yong Li, "Attitude Control of Multiple Rigid Bodies with Uncertainties and Disturbances," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 1, pp. 2-10, 2015.

Citation:

Yuanqing Xia, Ning Zhou, Kunfeng Lu and Yong Li, "Attitude Control of Multiple Rigid Bodies with Uncertainties and Disturbances," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 1, pp. 2-10, 2015.

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Attitude Control of Multiple Rigid Bodies with Uncertainties and Disturbances

1. School of Automation, Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing Institute of Technology, Beijing 100081, China;
2. Qian Xuesen Laboratory of Space Technology, China Academy of Space Technology, Beijing 100094, China

Funds:

This work was supported by National Basic Research Program of China (973 Program) (2012CB720002), National High Technology Research and Development Program of China (863 Program) (2012AA120601), National Natural Science Foundation of China (61225015), the Ph. D. Programs Foundation of Ministry of Education of China (20111101110012), and China Academy of Space Technology (CAST) Foundation (CAST201210).

Abstract

Abstract

Decentralized attitude synchronization and tracking control for multiple rigid bodies are investigated in this paper. In the presence of inertia uncertainties and environmental disturbances, we propose a class of decentralized adaptive sliding mode control laws. An adaptive control strategy is adopted to reject the uncertainties and disturbances. Using the Lyapunov approach and graph theory, it is shown that the control laws can guarantee a group of rigid bodies to track the desired time-varying attitude and angular velocity while maintaining attitude synchronization with other rigid bodies in the formation. Simulation examples are provided to illustrate the feasibility and advantage of the control algorithm.
- Attitude control,
- attitude synchronization,
- sliding mode control (SMC),
- adaptive control

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References

[1]	Du H B, Li S H, Qian C J. Finite-time attitude tracking control of spacecraft with application to attitude synchronization. IEEE Transactions on Automatic Control, 2011, 56(11):2711-2717
[2]	Igarashi Y, Hatanaka T, Fujita M, Spong M W. Passivity-based attitude synchronization in SE(3). IEEE Transactions on Control Systems Technology, 2009, 17(5):1119-1134
[3]	Dong X G, Cao X B, Zhang J X, Shi L. A robust adaptive control law for satellite formation flying. Acta Automatica Sinica, 2013, 39(2):128-137
[4]	Peng J M, Wang J N, Ye X D. Distributed adaptive tracking control for unknown nonlinear networked systems. Acta Automatica Sinica, 2013, 39(10):1729-1735
[5]	Cao Y C, Ren W. Distributed coordinated tracking with reduced interaction via a variable structure approach. IEEE Transactions on Automatic Control, 2012, 57(1):33-48
[6]	Suul J A, Luna A, Rodriguez P, Undeland T. Voltage-sensor-less synchronization to unbalanced grids by frequency-adaptive virtual flux estimation. IEEE Transactions on Industrial Electronics, 2012, 59(7):2910-2923
[7]	Lawton J R, Beard R W. Synchronized multiple spacecraft rotations. Automatica, 2002, 38(8):1359-1364
[8]	Abdessameud A, Tayebi A. Attitude synchronization of a group of spacecraft without velocity measurements. IEEE Transactions on Automatic Control, 2009, 54(11):2642-2648
[9]	Bai H, Arcak M, Wen J T. Rigid body attitude coordination without inertial frame information. Automatica, 2008, 44(12):3170-3175
[10]	Ren W. Distributed cooperative attitude synchronization and tracking for multiple rigid bodies. IEEE Transactions on Control Systems Technology, 2010, 18(2):383-392
[11]	Min Hai-Bo, Liu Zhi-Guo, Liu Yuan, Wang Shi-Cheng, Yang Yan-Li. Coordination control of networked Euler-Lagrange systems with possible switching topology. Acta Automatica Sinica, 2013, 39(7):1003- 1010(in Chinese)
[12]	Zhou N, Xia Y Q, Lu K F, Li Y. Decentralised finite-time attitude synchronisation and tracking control for rigid spacecraft. International Journal of Systems Science, 2013, doi: 10.1080/00207721.2013.868949
[13]	Zhou N, Xia Y, Wang M, Fu M. Finite-time attitude control of multiple rigid spacecraft using terminal sliding mode. International Journal of Robust and Nonlinear Control, 2014, doi: 10.1002/rnc.3182
[14]	Khoo S Y, Xie L H, Man Z H. Robust finite-time consensus tracking algorithm for multirobot systems. IEEE/ASME Transactions on Mechatronics, 2009, 14(2):219-228
[15]	Chen Y P, Lo S C. Sliding-mode controller design for spacecraft attitude tracking maneuvers. IEEE Transactions on Aerospace and Electronic Systems, 1993, 29(4):1328-1333
[16]	Lo S C, Chen Y P. Smooth sliding-mode control for spacecraft attitude tracking maneuvers. Journal of Guidance Control and Dynamics, 1995, 18(6):1345-1349
[17]	Chen Z Y, Huang J. Attitude tracking and disturbance rejection of rigid spacecraft by adaptive control. IEEE Transactions on Automatic Control, 2009, 54(2):600-605
[18]	Ahmed J, Coppola V T, Bernstein D S. Adaptive asymptotic tracking of spacecraft attitude motion with inertia matrix identification. Journal of Guidance, Control, and Dynamics, 1998, 21(5):684-691
[19]	Wu B L, Wang D W, Poh E K. Decentralized robust adaptive control for attitude synchronization under directed communication topology. Journal of Guidance, Control, and Dynamics, 2011, 34(4):1276-1282
[20]	Merris R. Laplacian matrices of graphs:a survey. Linear Algebra and Its Applications, 1994, 197-198(5):143-176
[21]	Horn R A, Johnson C R. Topics in Matrix Analysis. Cambridge, England, UK:Cambridge University Press, 1991. 242-254
[22]	Qian C J, Lin W. A continuous feedback approach to global strong stabilization of nonlinear systems. IEEE Transactions on Automatic Control, 2001, 46(7):1061-1079
[23]	Hardy G H, Littlewood J E, Polya G. Inequalities. Cambridge, England, UK:Cambridge University Press, 1952.
[24]	Zhu Z, Xia Y Q, Fu M Y. Attitude stabilization of rigid spacecraft with finite-time convergence. International Journal of Robust and Nonlinear Control, 2010, 21(6):686-702
[25]	Slotine J J E, Coetsee J A. Adaptive sliding controller synthesis for nonlinear systems. International Journal of Control, 1986, 43(6):1631-1651
[26]	Lu K F, Xia Y Q. Adaptive attitude tracking control for rigid spacecraft with finite-time convergence. Automatica, 2013, 49(12):3591-3599
[27]	Shtessel Y, Taleb M, Plestan F. A novel adaptive-gain supertwisting sliding mode controller:Methodology and application. Automatica, 2012, 48(5):759-769
[28]	Zhou J K, Hu Q L, Friswell M I. Decentralized finite time attitude synchronization control of satellite formation flying. Journal of Guidance Control and Dynamics, 2013, 36(1):185-195

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Attitude Control of Multiple Rigid Bodies with Uncertainties and Disturbances

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