Attitude Control of Spacecraft Multibody System by Optimal Nonholonomic Motion Planning

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Abstract:

The optimal nonholonomic motion planning for spacecraft multibody system is researched. The attitude motion equations of spacecraft multibody system take on nonholonomic constraint without outside force. The control of system can be converted to the nonholonomic motion planning problem for a driftless system. Based on modified-Newton method, the optimal control algorithm of controlling spacecraft to desired attitude is accepted by optimal control algorithm and Ritz approximation theory. Quaternion is used to describe the kinematics equation, which avoids the singularity and has the benefit of small calculation and high precision. At last, numerical simulations of spacecraft with two reaction fly wheels has proved of the approach to be effective.

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Periodical:

Advanced Materials Research (Volumes 383-390)

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4257-4261

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November 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Bloch, A. M., J. E. Marsden, and D. V. Zenkov, Nonholonomic Dynamics, Notices of the American Mathematical Society, 52, March 2005, 324-333.

Google Scholar

[2] R.M. Murray, Shankar Shastry, A Mathematical Introduction to Robotic Manipulation, CRC Press Inc, 22 Mar (1994).

Google Scholar

[3] G. A. Lafferriere and H. Sussmann, A differential geometric approach to motion planning, Nonholonomic Motion Planning, Z. Li and J. E Canny, editors, Kluwer, 1993. 235-270.

DOI: 10.1007/978-1-4615-3176-0_7

Google Scholar

[4] Li Z and Canny J., Motion of two rigid bodies with rolling constrain, IEEE Transactions on Robotics and Automation . 1990, 6(1): 62~71.

DOI: 10.1109/70.88118

Google Scholar

[5] Brockett R W, Dai L, Nonholonomic kinematics and the role of elliptic functions in constructive controllability[A]. In: Li Z, Canny J F, Eds. Nonholonomic Motion Planning[C]. Boston: Kluwer, 1993, 1-22.

DOI: 10.1007/978-1-4615-3176-0_1

Google Scholar

[6] Fernandes C, Gurvits L, Li Z. Near-optimal nonholonomic motion planning for a system of coupled rigid bodies[J]. IEEE Transaction Automation Control, 1995, 39(3): 450-464.

DOI: 10.1109/9.280745

Google Scholar

[7] Kolmanovsky I, McClamroch N H. Developments in nonholonomic control problem[J]. IEEE Control Systems Magazine, 1995, 15(6): 20~36.

Google Scholar

[8] Ge Xin-sheng , Chen Li-qun . Optimal control of nonholonomic motion planning for a free-falling cat[J], Applied Mathematics and Mechanics, 2007, 28(5): 1573-2754.

DOI: 10.1007/s10483-007-0505-z

Google Scholar