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J Neurophysiol (January 25, 2006). doi:10.1152/jn.00983.2005
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Submitted on September 19, 2005
Accepted on January 22, 2006

Is equilibrium point control feasible for fast goal-directed single-joint movements?

Dinant A. Kistemaker1*, Arthur (Knoek) J. Van Soest1, and Maarten F. Bobbert1

1 Fac. Human Movement Science, Vrije Universiteit, Amsterdam, Noord-Holland, The Netherlands

* To whom correspondence should be addressed. E-mail: d.kistemaker{at}fbw.vu.nl.

Several types of equilibrium point (EP) controllers have been proposed for the control of posture and movement. EP controllers are appealing from a computational point of view, because they do not require solving the 'inverse dynamic problem' (i.e. computation of the torques required to move a system along a desired trajectory). It has been argued that EP controllers are not capable of controlling fast single-joint movements. To refute this statement, several extensions have been proposed, but these have only been tested using models in which the tendon compliance, force-length-velocity relation, and mechanical interaction between tendon and contractile element were not adequately represented. In the present study, fast elbow joint movements were measured and an attempt was made to reproduce these using a realistic musculoskeletal model of the human arm. Three types of EP controllers were evaluated: an open-loop {alpha}-controller, a closed-loop {lambda}-controller and a hybrid open- and closed-loop controller. For each controller we considered a continuous version and a version in which the control signals were sent out intermittently. Only the intermittent hybrid EP controller was capable of generating movements that were as fast as those of the subjects. Due to the non-linear muscle properties, the hybrid EP controller requires a more detailed representation of static muscle properties than generally assumed in the context of EP control. In sum, this study shows that fast single-joint movements can be realized without explicitly solving the inverse dynamics problem, but in a less straightforward manner than implied by proponents of conventional EP controllers.




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