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Stabilization and tracking for fully actuated systems

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Geometric Control of Mechanical Systems

Part of the book series: Texts in Applied Mathematics ((TAM,volume 49))

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Abstract

In this chapter we design feedback control laws for simple mechanical control systems with dissipation. We assume that the system is fully actuated and that the control set is unbounded throughout the chapter. Our approach builds on the proportional-derivative control designs presented in the previous chapter, but we are able to obtain stronger results by exploiting the full actuation. We provide a comprehensive solution to the problems of stabilization of controlled equilibrium configurations and tracking of reference trajectories.

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© 2005 Springer Science+Business Media New York

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Bullo, F., Lewis, A.D. (2005). Stabilization and tracking for fully actuated systems. In: Geometric Control of Mechanical Systems. Texts in Applied Mathematics, vol 49. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-7276-7_11

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