This paper proposes a new approach to the design of a robot actuator with physically variable stiffness. The proposed approach leverages the dynamic characteristics inherent in a pneumatic actuator, which behaves in essence as a series elastic actuator. By replacing the four-way servovalve used to control a typical pneumatic actuator with a pair of three-way valves, the stiffness of the series elastic component can be modulated independently of the actuator output force. Based on this notion, the authors propose a control approach for the simultaneous control of actuator output force and stiffness. Since the achievable output force and stiffness are coupled and configuration-dependent, the authors also present a control law that provides either maximum or minimum actuator output stiffness for a given displacement and desired force output. The general control and maximum/minimum stiffness approaches are experimentally demonstrated and shown to provide high fidelity control of force and stiffness, and additionally shown to provide a factor of 6 dynamic range in stiffness.

1.
Hogan
,
N.
, 1985, “
The Mechanics of Multi-Joint Posture and Movement Control
,”
Biol. Cybern.
0340-1200,
52
, pp.
315
331
.
2.
Hogan
,
N.
, 1984, “
Adaptive Control of Mechanical Impedance by Coactivation of Antagonist Muscles
,”
IEEE Trans. Autom. Control
0018-9286,
29
(
8
), pp.
681
690
.
3.
Hogan
,
N.
, 1980, “
Tuning Muscle Stiffness can Simplify Control of Natural Movement
,” in
Advances in Bioengineering
,
ASME Winter Annual Meeting
, pp.
279
282
.
4.
Mussa-Ivaldi
,
F. A.
,
Hogan
,
N.
, and
Bizzi
,
E.
, 1985, “
Neural, Mechanical, and Geometric Factors Subserving Arm Posture in Humans
,”
J. Neurosci.
0270-6474,
5
, pp.
2732
2743
.
5.
Alexander
,
R.
, 1990, “
Three Uses for Springs in Legged Locomotion
,”
Int. J. Robot. Res.
0278-3649,
9
(
2
), pp.
53
61
.
6.
Cavagna
,
G. A.
,
Heglund
,
N. C.
, and
Taylor
,
C. R.
, 1977, “
Mechanical Work in Terrestrial Locomotion: Two Basic Mechanisms for Minimizing Energy Expenditure
,”
Am. J. Physiol.
0002-9513,
223
, pp.
243
261
.
7.
Taylor
,
C. R.
, and
Heglund
,
N. C.
, 1982, “
Energetics and Mechanics of Terrestrial Locomotion
,”
Annu. Rev. Physiol.
0066-4278,
44
, pp.
97
107
.
8.
Salisbury
,
J. K.
, 1980, “
Active Stiffness Control of a Manipulator in Cartesian Coordinates
,” in
Proceedings of the IEEE Conference on Decision and Control
, pp.
383
388
.
9.
Hogan
,
N.
, 1985, “
Impedance Control: An Approach to Manipulation
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
107
(
1
), pp.
1
24
.
10.
Laurin-Kovitz
,
K. F.
,
Colgate
,
J. E.
, and
Carnes
,
S. D. R.
, 1991, “
Design of Components for Programmable Passive Impedance
,” in
Proceedings of the IEEE International Conference on Robotics and Automation
, Vol.
2
,
pp.
1476
1481
.
11.
Koganezawa
,
K.
, and
Yamazaki
,
M.
, 1999, “
Mechanical Stiffness Control of Tendon-Driven Joints
,” in
Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems
,
pp.
818
825
.
12.
Koganezawa
,
K.
, and
Ban
,
S.
, 2002, “
Stiffness Control of Antagonistically Driven Redundant DOF Manipulator
,” in
Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems
,
pp.
2280
2285
.
13.
English
,
C. E.
, and
Russell
,
D.
, 1999, “
Mechanics and Stiffness Limitations of a Variable Stiffness Actuator for Use in Prosthetic Limbs
,”
Mech. Mach. Theory
0094-114X,
34
(
1
), pp.
7
25
.
14.
English
,
C. E.
, and
Russell
,
D.
, 1999, “
Implementation of Variable Joint Stiffness Through Antagonistic Actuation Using Rolamite Springs
,”
Mech. Mach. Theory
0094-114X,
34
(
1
), pp.
27
40
.
15.
Hurst
,
J. W.
,
Chestnutt
,
J. E.
, and
Rizzi
,
A. A.
, 2004, “
An Actuator with Physically Variable Stiffness for Highly Dynamic Legged Locomotion
,” in
Proceedings of the IEEE International Conference on Robotics and Automation
,
pp.
4662
4667
.
16.
Tonietti
,
G.
,
Schiavi
,
R.
, and
Bicchi
,
A.
, 2005, “
Design and Control of a Variable Stiffness Actuator for Safe and Fast Physical Human/Robot Interaction
,” in
Proceedings of the IEEE International Conference on Robotics and Automation
,
pp.
528
533
.
17.
Bicchi
,
A.
,
Rizzini
,
S. L.
, and
Tonietti
,
G.
, 2001, “
Compliant Design for Intrinsic Safety: General Issues and Preliminary Design
,” in
Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems
,
pp.
1864
1869
.
18.
Tonietti
,
G.
, and
Bicchi
,
A.
, 2002, “
Adaptive Simultaneous Position and Stiffness Control for a Soft Robot Arm
,” in
Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems
,
pp.
1992
1997
.
19.
Raibert
,
M. H.
, 1986,
Legged Robots that Balance
,
MIT Press
, Cambridge, MA, pp.
33
34
.
20.
Slotine
,
J. E.
, and
Li
,
W.
, 1991,
Applied Nonlinear Control
,
Prentice-Hall
, NJ.
You do not currently have access to this content.