R. Colbaugh et al., NEW RESULTS ON ADAPTIVE IMPEDANCE CONTROL FOR DEXTEROUS MANIPULATORS, International journal of robotics & automation, 11(1), 1996, pp. 1-12
Stable and robust execution of contact tasks is of paramount importanc
e for robot manipulators in many applications. This paper presents two
adaptive schemes for controlling the end-effector impedance of dexter
ous manipulators to enable reliable execution of contact tasks. The fi
rst scheme, position-based adaptive impedance control, consists of two
subsystems: a simple ''filter'' that modifies the end-effector positi
on trajectory based on the sensed contact force and the desired dynami
c relationship between the position and force, and an adaptive control
ler that produces the joint torques required to track this modified tr
ajectory. The second control strategy is developed using a model refer
ence adaptive impedance control approach by formulating the desired re
lationship between the end-effector position and contact force as a ''
reference model,'' and then devising a control scheme to ensure that t
he end-effector dynamics emulates this reference model. The proposed c
ontrollers are very general and computationally efficient since they d
o not require knowledge of the manipulator dynamic model or parameter
values of the manipulator or the environment, and are implemented with
out calculation of the robot inverse dynamics or inverse kinematic tra
nsformation. It is shown that the control strategies are globally stab
le in the presence of bounded disturbances, and that in the absence of
disturbances the ultimate bound on the size of the controller errors
can be made arbitrarily small. Computer simulation results are given f
or a Robotics Research Corporation Model K-1607 redundant arm and demo
nstrate that accurate end-effector impedance control and effective red
undancy utilization can be achieved simultaneously by using the propos
ed control schemes.