This paper analyzes the effect of velocity filtering cut-off frequency on the Z-width performance of haptic interfaces. Finite difference method (FDM) cascaded with a low pass filter is the most commonly used technique for estimating velocity from position data in haptic interfaces. So far, there is no prescribed method for obtaining the FDM + filter cut-off frequency that will maximize Z-width performance. We present a simulation based method to demonstrate that there exists such an ideal FDM + filter cut-off frequency, and that it can be predicted by numerical simulation based on an identified model of a haptic interface. Experiments are conducted on a single degree-of-freedom (DOF) linear haptic interface to validate the simulation results.

References

References
1.
Colgate
,
J. E.
, and
Brown
,
J. M.
,
1994
, “
Factors Affecting the Z-Width of a Haptic Display
,”
IEEE International Conference on Robotics Automation
, San Diego, CA, May 8–13, pp.
3205
3210
.
2.
Díaz
,
I.
, and
Gil
,
J. J.
,
2010
, “
Influence of Vibration Modes and Human Operator on the Stability of Haptic Rendering
,”
IEEE Trans. Rob.
,
26
(
1
), pp.
160
165
.10.1109/TRO.2009.2037254
3.
O'Malley
,
M. K.
,
Sevcik
,
K. S.
, and
Kopp
,
E.
,
2009
, “
Improved Haptic Fidelity Via Reduced Sampling Period With an FPGA-Based Real-Time Hardware Platform
,”
ASME J. Comput. Inf. Sci. Eng.
,
9
(
1
), p.
011002
.10.1115/1.3072904
4.
Abbott
,
J. J.
, and
Okamura
,
A. M.
,
2005
, “
Effects of Position Quantization and Sampling Rate on Virtual-Wall Passivity
,”
IEEE Trans. Rob.
,
21
(
5
) pp.
952
964
.10.1109/TRO.2005.851377
5.
Diolaiti
,
N.
,
Niemeyer
,
G.
,
Barbagli
,
F.
,
Salisbury
,
J. K.
, and
Melchiorri
,
C.
,
2005
, “
The Effect of Quantization and Coulomb Friction on the Stability of Haptic Rendering
,”
IEEE Haptic Interfaces for Virtual Environment and Teleoperator Systems
, Pisa, Italy, Mar. 18–20, pp.
237
246
.
6.
Tognetti
,
L. J.
,
2005
, “
Improved Design and Performance of Haptic Two-Port Networks Through Force Feedback and Passive Actuators
,” Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA.
7.
Díaz
,
I.
,
Gil
,
J. J.
, and
Hulin
,
T.
,
2010
, “
Chapter 5: Stability Boundary and Transparency for Haptic Rendering
,”
Advances in Haptics
,
Intech
,
Rijeka, Croatia
, pp.
103
125
.
8.
Chawda
,
V.
,
Celik
,
O.
, and
O'Malley
,
M. K.
,
2011
, “
Application of Levant's Differentiator for Velocity Estimation and Increased Z-Width in Haptic Interfaces
,”
Proceedings of World Haptics Conference
, Istanbul, Turkey, June 21–24, pp.
403
408
.
9.
Janabi-Sharifi
,
F.
,
Hayward
,
V.
, and
Chen
,
C. S. J.
,
2002
, “
Discrete-Time Adaptive Windowing for Velocity Estimation
,”
IEEE Trans. Control Syst. Technol.
,
8
(
6
), pp.
1003
1009
.10.1109/87.880606
10.
Weir
,
D. W.
,
Colgate
,
J. E.
, and.
Peshkin
,
M. A.
,
2008
, “
Measuring and Increasing Z-Width With Active Electrical Damping
,”
IEEE Haptic Interfaces for Virtual Environment and Teleoperator Systems
, Reno, NV, Mar. 13–14, pp.
169
175
.
11.
Liu
,
G.
,
2002
, “
On Velocity Estimation Using Position Measurements
,”
IEEE Proceedings of the American Control Conference
, Anchorage, AL, May 8–10, pp.
1115
1120
.
12.
Levant
,
A.
,
1998
, “
Robust Exact Differentiation Via Sliding Mode Technique
,”
Automatica
,
34
(
3
), pp.
379
384
.10.1016/S0005-1098(97)00209-4
13.
Metzger
,
J. C.
,
Lambercy
,
O.
, and
Gassert
,
R.
,
2012
, “
High-Fidelity Rendering of Virtual Objects With the Rehapticknob-Novel Avenues in Robot-Assisted Rehabilitation of Hand Function
,”
IEEE Haptics Symposium
, Vancouver, BC, pp.
51
56
.
14.
Zhu
,
W.-H.
, and
Lamarche
,
T.
,
2009
, “
Damping Enhancement of Haptic Devices by Using Velocities from Accelerometers and Encoders
,”
IEEE Conference on Decision and Control
, Shanghai, China, Dec. 16–18, pp.
7515
7520
.
15.
Lawrence
,
D. A.
,
Pao
,
L. Y.
,
Salada
,
M. A.
, and
Dougherty
,
A. M.
,
1996
, “
Quantitative Experimental Analysis of Transparency and Stability in Haptic Interfaces
,”
ASME Dynamic Systems and Control Division DSC
, Atlanta, GA, pp.
441
449
.
16.
Gil
,
J. J.
,
Avello
,
A.
,
Rubio
,
A.
, and
Florez
,
J.
,
2004
, “
Stability Analysis of a 1-DOF Haptic Interface Using the Routh–Hurwitz Criterion
,”
IEEE Trans. Control Syst. Technol.
,
12
(
4
), pp.
583
588
.10.1109/TCST.2004.825134
17.
Colgate
,
J. E.
, and
Schenkel
,
G.
,
1994
, “
Passivity of a Class of Sampled-Data Systems: Application to Haptic Interfaces
,”
American Control Conference
, Baltimore, MD, June 29–July 1, pp.
3236
3240
.
18.
Werkmeister
,
J.
, and
Slocum
,
A.
,
2007
, “
Theoretical and Experimental Determination of Capstan Drive Stiffness
,”
Precis. Eng.
,
31
(
1
), pp.
55
67
.10.1016/j.precisioneng.2006.03.001
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