TY - JOUR
T1 - Nonlinear PI'D'-Type Control of Flexible Joint Robots by Using Motor Position Measurements Is Globally Asymptotically Stable
AU - Moyron, Jeronimo
AU - Moreno-Valenzuela, Javier
AU - Sandoval, Jesus
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2023/6/1
Y1 - 2023/6/1
N2 - An important subject that arises in the position control of robot manipulators is the local or global asymptotic stability of the closed-loop system equilibrium point, especially when an integral action is added to the control loop. For rigid joint robot manipulators, global nonlinear proportional-integral-derivative (PID) controllers have been introduced few years ago. However, for the case of flexible joint robot manipulators, the design and analysis of such nonlinear PID laws is much more challenging. Only local asymptotic stability results have been reported. Thus, a novel global regulator for flexible joint robots is presented in this document. The proposed controller considers a nonlinear integral action and it requires only motor position measurements because an estimator subsystem is used to replace the motor velocity measurements. In other words, a nonlinear proportional-integral-'derivative' (PI'D')-type controller is introduced. According to the closed-loop system analysis, conditions on the controller gains are established. Thus, the global asymptotic stability is concluded. Finally, experimental results on a two degrees-of-freedom serial flexible joint robot are shown and discussed.
AB - An important subject that arises in the position control of robot manipulators is the local or global asymptotic stability of the closed-loop system equilibrium point, especially when an integral action is added to the control loop. For rigid joint robot manipulators, global nonlinear proportional-integral-derivative (PID) controllers have been introduced few years ago. However, for the case of flexible joint robot manipulators, the design and analysis of such nonlinear PID laws is much more challenging. Only local asymptotic stability results have been reported. Thus, a novel global regulator for flexible joint robots is presented in this document. The proposed controller considers a nonlinear integral action and it requires only motor position measurements because an estimator subsystem is used to replace the motor velocity measurements. In other words, a nonlinear proportional-integral-'derivative' (PI'D')-type controller is introduced. According to the closed-loop system analysis, conditions on the controller gains are established. Thus, the global asymptotic stability is concluded. Finally, experimental results on a two degrees-of-freedom serial flexible joint robot are shown and discussed.
KW - Flexible joint robot
KW - Lyapunov function
KW - global asymptotic stability
KW - nonlinear control
UR - http://www.scopus.com/inward/record.url?scp=85135763995&partnerID=8YFLogxK
U2 - 10.1109/TAC.2022.3194043
DO - 10.1109/TAC.2022.3194043
M3 - Artículo
AN - SCOPUS:85135763995
SN - 0018-9286
VL - 68
SP - 3648
EP - 3655
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 6
ER -