This paper presents a methodology for design of dissipative assist robots with proven stability during set-point control. A dissipative assist robot is defined as one where the actuators continuously dissipate energy from the robot until the robot reaches the desired set point. We have discussed in this paper that, under well known control laws, it is hard to characterize dissipativity of a general assist robot. However, by appropriately designing the robot through inertia redistribution, the dynamic equations can be modified so that the control laws can now be proven to be both dissipative and stable under set-point control. The proposed method is demonstrated through simulation of a three-link planar manipulator used as an assist robot to modify human functional movements in a vertical plane.

1.
Nagai
,
K.
,
Nakanishi
,
I.
,
Hanafusa
,
H.
,
Kawamura
,
S.
,
Makikawa
,
M.
, and
Tejima
,
N.
, 1998, “
Development of an 8 DOF Robotic Orthosis for Assisting Human Upper Limb Motion
,”
Proceedings of the IEEE International Conference on Robotics and Automation
,
Leuven, Belgium
, pp.
3486
3491
.
2.
Cozens
,
J.
, 1999, “
Robotic Assistance of an Active Upper Limb Exercise in Neurologically Impaired Patients
,”
IEEE Trans. Rehabil. Eng.
1063-6528,
7
(
2
), pp.
254
256
.
3.
Kiguchi
,
K.
,
Tanaka
,
T.
,
Watanabe
,
K.
, and
Fukuda
,
T.
, 2003, “
Exoskeleton for Human Upper-Limb Motion Support
,”
Proceedings of the IEEE International Conference on Robotics and Automation
,
Taipei, Taiwan
, pp.
2206
2211
.
4.
Kamnik
,
R.
, and
Bajd
,
T.
, 2004, “
Standing-Up Robot: An Assistive Rehabilitative Device for Training and Assessment
,”
J. Med. Eng. Technol.
0309-1902,
28
(
2
), pp.
74
80
.
5.
Banala
,
S. K.
,
Agrawal
,
S. K.
,
Fattah
,
A.
,
Rudolph
,
K.
, and
Scholz
,
J. P.
, 2004, “
A Gravity Balancing Leg Orthosis for Robotic Rehabilitation
,”
Proceedings of the IEEE International Conference on Robotics and Automation
,
New Orleans, LA
, pp.
2474
2479
.
6.
Fattah
,
A.
,
Agrawal
,
S. K.
,
Catlin
,
G.
, and
Hamnett
,
J.
, 2006, “
Design of a Passive Gravity-Balanced Assistive Device for Sit-to-Stand Tasks
,”
ASME J. Mech. Des.
1050-0472,
128
, pp.
1122
1129
.
7.
Agrawal
,
S. K.
, and
Erdman
,
A. G.
, 2005, “
Biomedical Assist Devices and New Biomimetic Machines—A Short Perspective
,”
ASME J. Mech. Des.
1050-0472,
127
, pp.
799
801
.
8.
Matsuoka
,
Y.
, and
Townsend
,
B.
, 2000, “
Design of Life-Size Haptic Environments
,”
Proceedings of the International Symposium on Experimental Robotics
,
Waikiki, HI
, pp.
461
470
.
9.
Reed
,
M. R.
, and
Book
,
W. J.
, 2004, “
Modeling and Control of an Improved Dissipative Passive Haptic Display
,”
Proceedings of the IEEE International Conference on Robotics and Automation
,
New Orleans, LA
, pp.
311
318
.
10.
Swanson
,
D. K.
, and
Book
,
W. J.
, 2003, “
Path-Following Control for Dissipative Passive Haptic Displays
,”
Proceedings of the 11th Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems
,
Los Angeles, CA
, pp.
101
108
.
11.
Cho
,
C.
,
Kim
,
M.
, and
Song
,
J.
, 2004, “
Direct Control of a Passive Haptic Device Based on Passive Force Manipulability Ellipsoid Analysis
,”
Int. J. of Control, Automation, and Systems
,
2
(
2
), pp.
238
246
.
12.
Cho
,
C.
,
Song
,
J.
,
Kim
,
M.
, and
Hwang
,
C.
, 2004, “
Energy-Based Control of a Passive Haptic Device
,”
Proceedings of the IEEE International Conference on Robotics and Automation
,
New Orleans, LA
, pp.
292
297
.
13.
Spong
,
M. W.
, and
Vidyasagar
,
M.
, 1989,
Robot Dynamics and Control
,
Wiley
,
New York
, Chap. 8.
14.
Agrawal
,
S. K.
, and
Fattah
,
A.
, 2004, “
Reactionless Space and Ground Robots: Novel Designs and Concept Studies
,”
Mech. Mach. Theory
0094-114X,
39
(
1
), pp.
25
40
.
15.
Agrawal
,
S. K.
, and
Sangwan
,
V.
, 2006, “
Design of Underactuated Open-Chain Planar Robots for Repetitive Cyclic Motions
,”
Proceedings of the ASME IDETC
,
Philadelphia, PA
, Paper No. DETC2006–99736.
You do not currently have access to this content.