Hybrid control for a class of underactuated mechanical systems

  • Authors:
  • R. Fierro;F. L. Lewis;A. Lowe

  • Affiliations:
  • Fac. de Ingenieria, Esuela Politecnica Nacional, Quito;-;-

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
  • Year:
  • 1999

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Abstract

This paper considers a stabilizing hybrid scheme to control a class of underactuated mechanical systems. The hybrid controller consists of a collection of state feedback controllers plus a discrete-event supervisor. When the continuous-state hits a switching boundary, a new controller is applied to the plant. Lyapunov theory is used to determine the switching boundaries and to guarantee the stability of the closed-loop hybrid system. This approach is applied to the well-known swing up and balancing control problem of the inverted pendulum