| Further Comments On The Stabilizability Of The Angular Velocity Of A Rigid Body (1988) | |||||||||||||||
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| We prove that the angular velocity equations can be smoothly stabilized with a single torque controller for bodies having an axis of symmetry. This complements a recent result of Aeyels and Szafranski. 1 Introduction In a recent paper, Aeyels and Szafranski ([1]) established that a rigid body can be smoothly stabilized even if just one control torque (aligned with an axis having a nonzero component along all principal axes) is allowed. Their construction results in a linear control law. Though as pointed out in that paper the feedback so obtained is highly nonrobust, it was nonetheless a rather surprising result. There is a small gap in their proof however; one needs that the body have no symmetries in order for their construction to be correct. In fact, we remark below that no possible linear feedback law will work in the presence of symmetries. On the other hand, many objects, such as satellites, do typically exhibit such symmetries. In this paper we show that there exists a nonlinea... | |||||||||||||||
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