Hybrid control for a class of underactuated mechanical systems

R Fierro, FL Lewis, A Lowe - IEEE Transactions on Systems …, 1999 - ieeexplore.ieee.org
IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems …, 1999ieeexplore.ieee.org
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 …
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.
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