Modification of a PD+ controller for the orbital stabilization of the motions of an all-wheel drive mechanical system. / Gusev, S.V.; Paramonov, L.V.; Pchelkin, S.S.; Robertsson, A.; Freidovich, L.B.; Shiriaev, A.S.
In: Journal of Applied Mathematics and Mechanics, 2015, p. 546-555.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Modification of a PD+ controller for the orbital stabilization of the motions of an all-wheel drive mechanical system
AU - Gusev, S.V.
AU - Paramonov, L.V.
AU - Pchelkin, S.S.
AU - Robertsson, A.
AU - Freidovich, L.B.
AU - Shiriaev, A.S.
PY - 2015
Y1 - 2015
N2 - © 2016 Elsevier Ltd.The problem of the orbital stabilization of the forced periodic motions of a non-linear all-wheel drive mechanical system is considered within the framework of a model that is widely used in problems of the planning of the motions and feedback design for industrial robotic manipulators. The basic result is the explicit indication of one of the possible redundant sets of coordinates tranverse to the nominal motion and the derivation of the linearization of their behaviour in an explicit form. The latter enabled us to validate the original approach in the controller design problem and to analyse the behaviour of the closed system in the neighbourhood of the nominal motion. The analytical results are illustrated by solving the problem of stabilizing the motion of the working tool of an industrial ABB IRB140 robotic manipulator that is suboptimal with respect to its high-speed response taking account of the known constraints imposed on the limiting values of the angular velocities of the indiv
AB - © 2016 Elsevier Ltd.The problem of the orbital stabilization of the forced periodic motions of a non-linear all-wheel drive mechanical system is considered within the framework of a model that is widely used in problems of the planning of the motions and feedback design for industrial robotic manipulators. The basic result is the explicit indication of one of the possible redundant sets of coordinates tranverse to the nominal motion and the derivation of the linearization of their behaviour in an explicit form. The latter enabled us to validate the original approach in the controller design problem and to analyse the behaviour of the closed system in the neighbourhood of the nominal motion. The analytical results are illustrated by solving the problem of stabilizing the motion of the working tool of an industrial ABB IRB140 robotic manipulator that is suboptimal with respect to its high-speed response taking account of the known constraints imposed on the limiting values of the angular velocities of the indiv
U2 - 10.1016/j.jappmathmech.2016.04.013
DO - 10.1016/j.jappmathmech.2016.04.013
M3 - Article
SP - 546
EP - 555
JO - Journal of Applied Mathematics and Mechanics
JF - Journal of Applied Mathematics and Mechanics
SN - 0021-8928
ER -
ID: 3990229