ADAPTIVE SET STABILIZATION OF THE ATTITUDE OF A RIGIDSPACECRAFT WITHOUT ANGULAR VELOCITY MEASUREMENTS

doi:10.1007/s11424-011-8214-1

Journal of Systems Science and Complexity ›› 2011, Vol. 24 ›› Issue (1): 105-119.DOI: 10.1007/s11424-011-8214-1

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ADAPTIVE SET STABILIZATION OF THE ATTITUDE OF A RIGIDSPACECRAFT WITHOUT ANGULAR VELOCITY MEASUREMENTS

Shihong DING(1)(2), Shihua LI(1), Qi LI(1)

(1)Southeast University;(2)College of Electrical and Information Engineering,Jiangsu University

Received:2008-06-04 Revised:1900-01-01 Online:2011-02-25 Published:2011-02-25

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Shihong DING;Shihua LI;Qi LI. ADAPTIVE SET STABILIZATION OF THE ATTITUDE OF A RIGIDSPACECRAFT WITHOUT ANGULAR VELOCITY MEASUREMENTS[J]. Journal of Systems Science and Complexity, 2011, 24(1): 105-119.

The global adaptive set stabilization problem of the attitude of a rigid spacecraft is addressed in this paper. Two different cases are considered. First, by using adaptive backstepping method, the authors design a global adaptive control
law for the attitude control system with unknown inertia matrix such that the attitude and the angular velocities can be globally asymptotically stabilized to a set consisting of two equilibria. And then, based on the obtained backstepping adaptive law, the authors consider the case that the angular velocities are not measurable. By introducing an auxiliary state, a semi-global adaptive set stabilization law without angular velocity measurements is also designed.
It is rigorously proved that, for the two cases, both of the closed loop systems
satisfy the set stability. The effectiveness of the proposed methods is verified by simulation results.

Key words: Adaptive control, attitude stabilization, backstepping, quaternion, spacecraft.

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