On global properties of passivity-based control of an inverted pendulum

A. Shiriaev, A.Y. Pogromsky, H. Ludvigsen, O. Egeland

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

92 Citaten (Scopus)


The paper adresses the problem of stabilization of a specific target position of underactuated Lagrangian or Hamiltonian systems. We propose to solve the problem in two steps: first to stabilize a set with the target position being a limit point for all trajectories originating in this set and then to switch to a locally stabilizing controller. We illustrate this approach by the well-known example of inverted pendulum on a cart. Particularly, we design a controller which makes the upright position of the pendulum and zero displacement of the cart a limit point for almost all trajectories. We derive a family of static feedbacks such that any solution of the closed loop system except for those originating on some two-dimensional manifold approaches an arbitrarily small neighbourhood of the target position. The proposed technique is based on the passivity properties of the inverted pendulum. A possible extension to a more general class of underactuated mechanical systems is discussed.
Originele taal-2Engels
Pagina's (van-tot)283-300
Aantal pagina's18
TijdschriftInternational Journal of Robust and Nonlinear Control
Nummer van het tijdschrift4
StatusGepubliceerd - 2000


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