Robust global exponential stabilization on the n-dimensional sphere with applications to trajectory tracking for quadrotors

• Autores: Pedro Casau, Christipher G. Mayhew, R.G. Sanfelice, Carlos Silvestre García
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 110, 2019
• Idioma: inglés
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• Resumen

  • In this paper, we design a hybrid controller that globally exponentially stabilizes a system evolving on the n-dimensional sphere, denoted by Sn. This hybrid controller is induced by a “synergistic” collection of potential functions on Sn. We propose a particular construction of this class of functions that generates flows along geodesics of the sphere, providing convergence to the desired reference with minimal path length. We show that the proposed strategy is suitable to the exponential stabilization of a quadrotor vehicle.