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Retrospective cost adaptive control of a planar multilink arm with nonminimum-phase zeros

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3 Author(s)
Alexey V. Morozov ; Department of Aerospace Engineering, University of Michigan, USA ; Jesse B. Hoagg ; Dennis S. Bernstein

We address the problem of adaptive command following and disturbance rejection for a nonlinear planar multilink mechanism interconnected by torsional springs and dashpots. We consider a nonlinear multilink mechanism where a control torque is applied to the hub of the multilink mechanism, and the objective is to control the angular position of the tip, which is separated from the hub by N links. In this paper, we derive the nonlinear equations of motion for the N link mechanism. We linearize these equations of motion and demonstrate that such systems have nonminimum-phase zeros when the control torque and angular position sensor are not colocated. To control this mechanism, we use a retrospective cost adaptive controller, which is effective for nonminimum-phase systems provided that you have an estimate of the nonminimum-phase zeros. We consider both command following and disturbance rejection problems, where the spectrum of the commands and disturbance are unknown.

Published in:

49th IEEE Conference on Decision and Control (CDC)

Date of Conference:

15-17 Dec. 2010