Dw. Risher et al., THE USE OF INVERSE DYNAMICS SOLUTIONS IN DIRECT DYNAMICS SIMULATIONS, Journal of biomechanical engineering, 119(4), 1997, pp. 417-422
Previous attempts to use inverse dynamics solutions in direct dynamics
simulations have failed to replicate the input data of the inverse dy
namics problem. Measurement and derivative estimation error, different
inverse dynamics and direct dynamics models, and numerical integratio
n error have all been suggested as possible causes of inverse dynamics
simulation failure. However, using a biomechanical model of the type
typically used in gait analysis applications for inverse dynamics calc
ulations of joint moments, we produce a direct dynamics simulation tha
t exactly matches the measured movement pattern used as input to the i
nverse dynamic problem. This example of successful inverse dynamics si
mulation demonstrates that although different inverse dynamics and dir
ect dynamics models may lead to inverse dynamics simulation failure, m
easurement and derivative estimation error do not. In addition, invers
e dynamics simulation failure due to numerical integration errors can
be avoided. Further, we demonstrate that insufficient control signal d
imensionality (i.e., freedom of the control signals to take on differe
nt ''shapes''), a previously unrecognized cause of inverse dynamics si
mulation failure, will cause inverse dynamics simulation failure even
with a perfect model and perfect data, regardless of sampling frequenc
y.