Abstract

The ability to control compliance of robotic joints is desirable because the resulting robotic mechanisms can adapt to varying task requirements and can take advantage of natural limb and joint dynamics. The implementation of controllable compliance in robots, however, is often constrained by the inherent instability of active compliance methods and by the limited availability of the custom, nonlinear springs needed by passive compliance methods. This work overcomes a major limitation of passive compliance by producing designs for two novel mechanisms capable of generating a wide variety of specifiable, nonlinear elastic relationships. One of these designs is physically implemented as a quadratic “spring” and is used to create a passively compliant robot joint with series-elastic actuation. A simple feed-forward algorithm is then experimentally shown to be sufficient to control independently and simultaneously both joint angle and joint compliance, regardless of the presence of external forces on the joint. We believe that this is the first physically constructed system to use antagonistic quadratic springs to successfully demonstrate open-loop, independent, and simultaneous control of both joint angle and joint stiffness. Because this approach better emulates the underlying joint mechanics used by animals, it may improve both the quality and variety of robotic movements.

1.
Hogan
,
N.
, 1984, “
Adaptive Control of Mechanical Impedance by Coactivation of Antagonist Muscles
,”
IEEE Trans. Autom. Control
0018-9286,
28
(
8
), pp.
681
690
.
2.
Cavagna
,
G.
,
Heglund
,
N.
, and
Taylor
,
C.
, 1977, “
Mechanical Work in Terrestrial Locomotion: Two Basic Mechanisms for Minimizing Energy Expenditure
,”
Am. J. Physiol.
0002-9513,
233
, pp.
R243
R261
.
3.
Salisbury
,
K.
, 1980, “
Active Stiffness Control of a Manipulator in Cartesian Coordinates
,”
Proceedings of the 19th IEEE International Conference on Design and Control
,
Albuquerque, NM
, pp.
95
100
.
4.
Loncaric
,
J.
, 1985, “
Geometrical Analysis of Compliant Mechanisms in Robotics
,” Ph.D. thesis, Harvard University, Cambridge, MA.
5.
Desai
,
J.
, and
Howe
,
R.
, 2001, “
Towards the Development of a Humanoid Arm by Minimizing Interaction Forces Through Minimum Impedance Control
,”
Proceedings of the 2001 IEEE International Conference on Robotics and Automation
,
Seoul, Korea
, pp.
4214
4219
.
6.
Freeman
,
R.
, 2004, “
Active Suspension Control via Redundant Actuation
,”
Proceedings of the 2004 ASME Design Engineering Technical Conferences and Computer and Information in Engineering Conference
,
Salt Lake City, UT
.
7.
Chakarov
,
D.
, 2004, “
Study of the Antagonistic Stiffness of Parallel Manipulators With Actuation Redundancy
,”
Mech. Mach. Theory
0094-114X,
39
, pp.
583
601
.
8.
Khatib
,
O.
, and
Roth
,
B.
, 1991, “
New Robot Mechanisms for New Robot Capabilities
,”
Proceedings of the 1991 IEEE∕RSJ International Conference on Intelligent Robots and Systems
,
Osaka, Japan
, Vol.,
1
, pp.
44
49
.
9.
Trease
,
B.
,
Moon
,
Y.-M.
, and
Kota
,
S.
, 2005, “
Design of Large-Displacement Compliant Joints
,”
ASME J. Mech. Des.
1050-0472,
127
(
4
), pp.
788
798
.
10.
Dollar
,
A.
, and
Howe
,
R.
, 2005, “
Towards Grasping in Unstructured Environments: Grasper Compliance and Configuration Optimization
,”
Adv. Rob.
0169-1864,
19
(
5
), pp.
523
543
.
11.
Morita
,
T.
, and
Sugano
,
S.
, 1995, “
Design and Development of a New Robot Joint Using a Mechanical Impedance Adjuster
,”
Proceedings of the 1995 IEEE International Conference on Robotics and Automation
,
Nagoya, Japan
, Vol.,
3
, pp.
2469
2475
.
12.
Morita
,
T.
, and
Sugano
,
S.
, 1995, “
Development of One-DOF Robot Arm Equipped With Mechanical Impedance Adjuster
,”
Proceedings of the 1995 IEEE∕RSJ International Conference on Intelligent Robots and Systems
,
Pittsburgh, PA
, Vol.,
1
, pp.
407
412
.
13.
English
,
C.
, and
Russell
,
D.
, 1999, “
Mechanics and Stiffness Limitations of a Variable Stiffness Actuator for Use in Prosthetic Limbs
,”
Mech. Mach. Theory
0094-114X,
34
, pp.
7
25
.
14.
English
,
C.
, and
Russell
,
D.
, 1999, “
Implementation of Variable Joint Stiffness Through Antagonistic Actuation Using Rolamite Springs
,”
Mech. Mach. Theory
0094-114X,
34
, pp.
27
40
.
15.
van der Linde
,
R.
, 1999, “
Design, Analysis, and Control of a Low Power Joint for Walking Robots, by Phasic Activation of McKibben Muscles
,”
IEEE Trans. Rob. Autom.
1042-296X,
15
(
4
), pp.
599
604
.
16.
Yamaguchi
,
J.
, and
Takanishi
,
A.
, 1997, “
Design of Biped Walking Robots Having Antagonistic Driven Joints Using Nonlinear Spring Mechanism
,”
Proceedings of the 1997 IEEE∕RSJ International Conference on Intelligent Robots and Systems
,
Grenoble, France
, Vol.,
1
, pp.
251
259
.
17.
Yamaguchi
,
J.
,
Nishino
,
D.
, and
Takanishi
,
A.
, 1998, “
Realization of Dynamic Biped Walking Varying Joint Stiffness Using Antagonistic Driven Joints
,”
Proceedings of the 1998 IEEE International Conference on Robotics and Automation
,
Leuven, Belgium
, pp.
2022
2029
.
18.
Laurin-Kovitz
,
K.
,
Colgate
,
K.
, and
Carnes
,
S.
, 1991, “
Design of Components for Programmable Passive Impedance
,”
Proceedings of the 1991 IEEE International Conference on Robotics and Automation
,
Sacramento, CA
, Vol.
2
, pp.
1476
1481
.
19.
Koganezawa
,
K.
,
Watanabe
,
Y.
, and
Shimizu
,
N.
, 1999, “
Antagonistic Muscle-Like Actuator and its Application to Multi-DOF Forearm Prosthesis
,”
Adv. Rob.
0169-1864,
12
(
7,8
), pp.
771
789
.
20.
Hurst
,
J.
,
Chestnutt
,
J.
, and
Rizzi
,
A.
, 2004, “
An Actuator With Physically Variable Stiffness for Highly Dynamic Legged Locomotion
,”
Proceedings of the 2004 IEEE International Conference on Robotics and Automation
,
New Orleans, LA
, pp.
4662
4667
.
21.
Williamson
,
M.
, 1995, “
Series Elastic Actuators
,” Master’s thesis, Massachusetts Institute of Technology, Cambridge, MA.
22.
Pratt
,
G.
, and
Williamson
,
M.
, 1995, “
Series Elastic Actuators
,”
Proceedings of the 1995 IEEE∕RSJ International Conference on Intelligent Robots and Systems
,
Pittsburg, PA
, Vol.
1
, pp.
399
406
.
23.
Robinson
,
D.
,
Pratt
,
J. E.
,
Paluska
,
D. J.
, and
Pratt
,
G. A.
, 1999, “
Series Elastic Actuator Development for a Biomimetic Walking Robot
,”
Proceedings of the 1999 IEEE∕ASME International Conference on Advanced Intelligent Mechatronics
,
Atlanta, GA
, pp.
561
568
.
24.
Gordon
,
A.
,
Huxley
,
A.
, and
Julian
,
F.
, 1966, “
The Variation in Isometric Tension With Sarcomere Length in Vertebrate Muscle Fibers
,”
J. Physiol. (London)
0022-3751,
184
, pp.
170
192
.
25.
Mason
,
P.
, 1978, “
Dynamic Stiffness and Crossbridge Action in Muscle
,”
Biophys. Struct. Mech.
0340-1057,
4
, pp.
15
25
.
26.
Sugar
,
T.
, and
Kumar
,
V.
, 2002, “
Design and Control of a Compliant Parallel Manipulator
,”
ASME J. Mech. Des.
1050-0472,
124
(
4
), pp.
676
683
.
27.
Morita
,
T.
, and
Sugano
,
S.
, 1997, “
Development and Evaluation of Seven DOF MIA Arm
,”
Proceedings of the 1997 IEEE International Conference on Robotics and Automation
,
Albuquerque, NM
, Vol.
1
, pp.
462
467
.
28.
Kirsch
,
R.
,
Boskov
,
D.
, and
Rymer
,
W.
, 1994, “
Muscle Stiffness During Transient and Continuous Movments of Cat Muscle: Perturbation Characteristics and Physiological Relevence
,”
IEEE Trans. Biomed. Eng.
0018-9294,
41
(
8
), pp.
758
770
.
29.
Tresilian
,
J.
, 1999, “
Retaining the Equilibrium-Point Hypothesis as an Abstract Description of the Neuromuscular System
,”
Motor Control
1087-1640,
3
, pp.
67
89
.
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