Abstract
The stabilizability and asymptotic stabilizability of Euler's angular velocity equations of the rigid body are investigated. The results presented follow either as an application of Lyapunov theory or the center manifold approach. The proposed controls are discussed with respect to their robustness properties.
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6. References
D. Aeyels, Stabilization of a class of nonlinear systems by a smooth feedback control, Systems Control Lett. 5 (1985), 289–294
J. Carr, Applications of Centre Manifold Theory (Springer, New York, 1981)
R.W. Brockett, Asymptotic stability and feedback stabilization, in: R.W. Brockett, R.S. Millmann and H.J. Sussmann, Eds., Differential Geometric Control Theory, Progress in Mathematics, Vol. 27 (Birkhaüser, Boston, 1983), 181–191
D. Aeyels and M. Szafranski, Comments on the stabilizability of the angular velocity of a rigid body, Systems Control Lett., 10 (1988) 35–39
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Aeyels, D. (1989). Stabilizability and asymptotic stabilizability of the angular velocity of a rigid body. In: Descusse, J., Fliess, M., Isidori, A., Leborgne, D. (eds) New Trends in Nonlinear Control Theory. Lecture Notes in Control and Information Sciences, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043033
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DOI: https://doi.org/10.1007/BFb0043033
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