TY - GEN
T1 - Simple models in trajectory planning of human-like reaching movements
AU - Svinin, Mikhail Mikhailovich
AU - Yamamoto, Motoji
AU - Goncharenko, Igor
PY - 2010/12/1
Y1 - 2010/12/1
N2 - The paper deals with modeling of human-like reaching movements. Several models are under study. First, we consider a model of reaching movement that corresponds to the minimization of control effort. It is shown that this model is represented by the well-known Beta function. The representation can be used for the construction of fractional order models and also for modeling of asymmetric velocity profiles. The natural boundary conditions, defined in this part of the paper, can also be used in modeling asymmetric velocity profiles. Finally, we consider the minimum time formulation of the optimization problem and (for the n-th order integrator) find its analytical solution in the general form.
AB - The paper deals with modeling of human-like reaching movements. Several models are under study. First, we consider a model of reaching movement that corresponds to the minimization of control effort. It is shown that this model is represented by the well-known Beta function. The representation can be used for the construction of fractional order models and also for modeling of asymmetric velocity profiles. The natural boundary conditions, defined in this part of the paper, can also be used in modeling asymmetric velocity profiles. Finally, we consider the minimum time formulation of the optimization problem and (for the n-th order integrator) find its analytical solution in the general form.
UR - http://www.scopus.com/inward/record.url?scp=78651508348&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78651508348&partnerID=8YFLogxK
U2 - 10.1109/IROS.2010.5651234
DO - 10.1109/IROS.2010.5651234
M3 - Conference contribution
AN - SCOPUS:78651508348
SN - 9781424466757
T3 - IEEE/RSJ 2010 International Conference on Intelligent Robots and Systems, IROS 2010 - Conference Proceedings
SP - 1662
EP - 1667
BT - IEEE/RSJ 2010 International Conference on Intelligent Robots and Systems, IROS 2010 - Conference Proceedings
T2 - 23rd IEEE/RSJ 2010 International Conference on Intelligent Robots and Systems, IROS 2010
Y2 - 18 October 2010 through 22 October 2010
ER -