A Lyapunov stable control scheme is designed and implemented for bilateral haptic teleoperation of a single-rod hydraulic actuator. The proposed controller is capable of reducing position errors at master and slave sides, as well as perceiving the interaction force between the actuator and the task environment without a need for direct measurement of force. The controller only requires the actuator's line pressures and displacements of the master and slave. Stability of the proposed controller incorporating hydraulic nonlinearities and operator dynamics is analytically proven. Simulation studies demonstrate that the proposed system can reach an equilibrium point while interacting with an environment exhibiting stiffness. Experimental results confirm that the controller is able to effectively maintain stability, while having good position tracking by the hydraulic actuator as well as perceiving the contact force between the actuator and the task environment without direct measurement. This kind of haptic feedback force is a suitable choice for applications where mounting a force sensor at the end-effector is not feasible, such as excavators and backhoes. This work contributes to enhancing the operator's ability to perform stable haptic-enabled teleoperation of hydraulic manipulators.

References

1.
Bettini
,
A.
,
Marayong
,
P.
,
Lang
,
S.
,
Okamura
,
A. M.
, and
Hager
,
G. D.
,
2004
, “
Vision-Assisted Control for Manipulation Using Virtual Fixtures
,”
IEEE Trans. Rob.
,
20
(
6
), pp.
953
966
.
2.
Tafazoli
,
S.
,
Salcudean
,
S. E.
,
Hashtrudi-Zaad
,
K.
, and
Lawrence
,
P. D.
,
2002
, “
Impedance Control of a Teleoperated Excavator
,”
IEEE Trans. Control Syst. Technol.
,
10
(
3
), pp.
355
367
.
3.
Papadopoulos
,
E.
,
Mu
,
B.
, and
Frenette
,
R.
,
2003
, “
On Modeling, Identification, and Control of a Heavy-Duty Electrohydraulic Harvester Manipulator
,”
IEEE/ASME Trans. Mechatronics
,
8
(
2
), pp.
178
187
.
4.
Parker
,
N. R.
,
Salcudean
,
S. E.
, and
Lawrence
,
P. D.
,
1993
, “
Application of Force Feedback to Heavy Duty Hydraulic Machines
,”
IEEE International Conference on Robotics and Automation
(
ICRA
), Atlanta, GA, May 2–6, pp. 375–381.
5.
Hokayem
,
P. F.
, and
Spong
,
M. W.
,
2006
, “
Bilateral Teleoperation: An Historical Survey
,”
J. Autom.
,
42
(
12
), pp.
2035
2057
.
6.
Sirouspour
,
M. R.
, and
Salcudean
,
S. E.
,
2000
, “
On the Nonlinear Control of Hydraulic Servo-Systems
,”
IEEE International Conference on Robotics and Automation
(
ICRA
), San Francisco, CA, Apr. 24–28, pp. 1276–1282.
7.
Merritt
,
H. E.
,
1967
,
Hydraulic Control Systems
, John Wiley & Sons,
New York
.
8.
Ming
,
O.-Y.
,
Beard
,
D. V.
, and
Brooks
,
F. P.
, Jr.
,
1989
, “
Force Display Performs Better Than Visual Display in Simple 6-D Docking Task
,”
International Conference on Robotics and Automation
(
ICRA
), Scottsdale, AZ, May 14–19, pp. 1462–1466.
9.
Anderson
,
R. J.
, and
Spong
,
M. W.
,
1988
, “
Bilateral Control of Teleoperators With Time Delay
,”
27th IEEE Conference on Decision and Control
(
CDC
), Austin, TX, Dec. 7–9, pp. 167–173.
10.
Lawrence
,
D. A.
,
1993
, “
Stability and Transparency in Bilateral Teleoperation
,”
IEEE Trans. Rob. Autom.
,
9
(
5
), pp.
624
637
.
11.
Sekhavat
,
P.
,
Sepehri
,
N.
, and
Wu
,
Q.
,
2006
, “
Impact Stabilizing Controller for Hydraulic Actuators With Friction: Theory and Experiments
,”
Control Eng. Pract.
,
14
(
12
), pp.
1423
1433
.
12.
Sekhavat
,
P.
,
Wu
,
Q.
, and
Sepehri
,
N.
,
2004
, “
Impact Control in Hydraulic Actuators With Friction: Theory and Experiments
,”
American Control Conference
(
ACC
), Boston, MA, June 30–July 2, pp. 4432–4437.http://ieeexplore.ieee.org/document/1384007/
13.
Niksefat
,
N.
,
Wu
,
C. Q.
, and
Sepehri
,
N.
,
2000
, “
Design of a Lyapunov Controller for an Electro-Hydraulic Actuator During Contact Tasks
,”
ASME J. Dyn. Syst. Meas. Control
,
123
(
2
), pp.
299
307
.
14.
Halanay
,
A.
,
Safta
,
C. A.
,
Ursu
,
F.
, and
Ursu
,
I.
,
2009
, “
Stability Analysis for a Nonlinear Model of a Hydraulic Servomechanism in a Servoelastic Framework
,”
Nonlinear Anal.: Real World Appl.
,
10
(
2
), pp.
1197
1209
.
15.
Sekhavat
,
P.
,
Wu
,
Q.
, and
Sepehri
,
N.
,
2004
, “
Lyapunov-Based Friction Compensation for Accurate Positioning of a Hydraulic Actuator
,”
American Control Conference
(
ACC
), Boston, MA, June 30–July 2, pp. 418–423.http://ieeexplore.ieee.org/document/1383638/
16.
Sirouspour
,
M. R.
, and
Salcudean
,
S. E.
,
2001
, “
Nonlinear Control of Hydraulic Robots
,”
IEEE Trans. Rob. Autom.
,
17
(
2
), pp.
173
182
.
17.
Cunha
,
M. A. B.
,
2005
, “
Adaptive Cascade Controller Applied to a Hydraulic Actuator
,”
International Conference on Control and Automation
(
ICCA
), Budapest, Hungary, June 26–29, pp. 622–627.
18.
Zarei-Nia
,
K.
, and
Sepehri
,
N.
,
2012
, “
Lyapunov Stable Displacement-Mode Haptic Manipulation of Hydraulic Actuators: Theory and Experiment
,”
Int. J. Control
,
85
(
9
), pp.
1313
1326
.
19.
Zareinia
,
K.
, and
Sepehri
,
N.
,
2015
, “
A Hybrid Haptic Sensation for Teleoperation of Hydraulic Manipulators
,”
ASME J. Dyn. Syst. Meas. Control
,
137
(
9
), p. 091001.
20.
Zarei-Nia
,
K.
,
Sepehri
,
N.
, and
Wu
,
Q.
,
2012
, “
A Lyapunov Controller for Stable Haptic Manipulation of Hydraulic Actuators
,”
Int. J. Rob. Nonlinear Control
,
22
(
3
), pp.
241
261
.
21.
Li
,
P. Y.
, and
Krishnaswamy
,
K.
,
2004
, “
Passive Bilateral Teleoperation of a Hydraulic Actuator Using an Electrohydraulic Passive Valve
,”
Int. J. Fluid Power
,
5
(
2
), pp.
43
55
.
22.
Krishnaswamy
,
K.
, and
Li
,
P. Y.
,
2001
, “
Passive Control of an Electrohydraulic Actuator Using an Electrohydraulic Passive Valve
,”
American Control Conference
(
ACC
), Arlington, VA, June 25–27, pp. 3932–3937.
23.
Yao
,
B.
,
Bu
,
F.
,
Reedy
,
J.
, and
Chiu
,
G. T. C.
,
1999
, “
Adaptive Robust Motion Control of Single-Rod Hydraulic Actuators: Theory and Experiments
,”
American Control Conference
(
ACC
), San Diego, CA, June 2–4, pp. 759–763.
24.
Guan
,
C.
, and
Pan
,
S.
,
2008
, “
Nonlinear Adaptive Robust Control of Single-Rod Electro-Hydraulic Actuator With Unknown Nonlinear Parameters
,”
IEEE Trans. Control Syst. Technol.
,
16
(
3
), pp.
434
445
.
25.
Guo
,
K.
,
Wei
,
J.
,
Fang
,
J.
,
Feng
,
R.
, and
Wang
,
X.
,
2015
, “
Position Tracking Control of Electro-Hydraulic Single-Rod Actuator Based on an Extended Disturbance Observer
,”
Mechatronics
,
27
, pp.
47
56
.
26.
Kim
,
W.
,
Shin
,
D.
,
Won
,
D.
, and
Chung
,
C. C.
,
2013
, “
Disturbance-Observer-Based Position Tracking Controller in the Presence of Biased Sinusoidal Disturbance for Electrohydraulic Actuators
,”
IEEE Trans. Control Syst. Technol.
,
21
(
6
), pp.
2290
2298
.
27.
Filippov
,
A. F.
,
1988
, “
Differential Equations With Discontinuous Righthand Side
,”
Mathematics and Its Applications
, Vol. 18, Springer, Dordrecht, The Netherlands.
28.
Wu
,
Q.
, and
Thornton-Trump
,
A. B.
,
1997
, “
Control of a Base-Excited Inverted Pendulum With Two Degrees of Rotational Freedom
,”
J. Franklin Inst.
,
334
(1), pp.
63
92
.
29.
Wu
,
Q.
,
Sepehri
,
N.
,
Thornton-Trump
,
A. B.
, and
Onyshko
,
S.
,
1995
, “
An Extended Integral Method to Derive Lyapunov Functions for Nonlinear Systems
,”
Int. J. Control
,
62
(
3
), pp.
717
736
.
30.
Wu
,
Q.
,
Onyshko
,
S.
,
Sepehri
,
N.
, and
Thornton-Trump
,
A. B.
,
1998
, “
On Construction of Smooth Lyapunov Functions for Non-Smooth Systems
,”
Int. J. Control
,
69
(
3
), pp.
443
457
.
31.
Wu
,
Q.
, and
Sepehri
,
N.
,
2001
, “
On Lyapunov's Stability Analysis of Non-Smooth Systems With Applications to Control Engineering
,”
Int. J. Non-Linear Mech.
,
36
(
7
), pp.
1153
1161
.
32.
Shevitz
,
D.
, and
Paden
,
B.
,
1994
, “
Lyapunov Stability Theory of Nonsmooth Systems
,”
IEEE Trans. Autom. Control
,
39
(
9
), pp.
1910
1914
.
33.
Yokokohji
,
Y.
, and
Yoshikawa
,
T.
,
1994
, “
Bilateral Control of Master-Slave Manipulators for Ideal Kinesthetic Coupling-Formulation and Experiment
,”
IEEE Trans. Rob. Autom.
,
10
(
5
), pp.
605
620
.
34.
Abdossalami
,
A.
, and
Sirouspour
,
S.
,
2009
, “
Adaptive Control for Improved Transparency in Haptic Simulations
,”
IEEE Trans. Haptics
,
2
(
1
), pp.
2
14
.
35.
Christiansson
,
G. A. V.
, and
van der Helm
,
F. C. T.
,
2007
, “
The Low-Stiffness Teleoperator Slave—A Trade-Off Between Stability and Performance
,”
Int. J. Rob. Res.
,
26
(
3
), pp.
287
299
.
36.
Durbha
,
V.
, and
Li
,
P.
,
2012
, “
A Nonlinear Spring Model of Hydraulic Actuator for Passive Controller Design in Bilateral Tele-Operation
,”
American Control Conference
(
ACC
), Montreal, QC, Canada, June 27–29, pp. 3471–3476.
37.
Heyong
,
H.
,
Qingxue
,
H.
,
Jun
,
W.
, and
Jing
,
W.
,
2013
, “
The Analysis of New Hydraulic Rolling Shear Servo System Dynamic Characteristics
,”
J. Eng. Manuf.
,
227
(
3
), pp.
453
459
.
38.
Schmidt
,
T.
,
2012
, “
Adaptive Backstepping Control of Asymmetric Electro-Hydraulic System
,”
Master's thesis
, Aalborg University, Aalborg, Denmark.http://projekter.aau.dk/projekter/en/studentthesis/adaptiv-backstepping-kontrol-af-asymmetrisk-elektrohydraulisk-system(bc19f189-9758-48d7-97a8-881e320e28eb).html
39.
Niksefat
,
N.
,
Sepehri
,
N.
, and
Wu
,
Q.
,
2007
, “
Design and Experimental Evaluation of a QFT Contact Task Controller for Electro-Hydraulic Actuators
,”
Int. J. Robust Nonlinear Control
,
17
(
2–3
), pp.
225
250
.
40.
Liu
,
R.
, and
Alleyne
,
A.
,
2000
, “
Nonlinear Force/Pressure Tracking of an Electro-Hydraulic Actuator
,”
ASME J. Dyn. Syst. Meas. Control
,
122
(
1
), pp.
232
236
.
41.
Jerouane
,
M.
,
Sepehri
,
N.
, and
Lamnabhi-Lagarriguea
,
F.
,
2004
, “
Dynamic Analysis of Variable Structure Force Control of Hydraulic Actuators Via the Reaching Law Approach
,”
Int. J. Control
,
77
(
14
), pp.
1260
1268
.
42.
Wu
,
Q. C.
,
1996
, “
Lyapunov Stability Analysis of a Class of Base-Excited Inverted Pendulums With Application to Bipedal Locomotion Systems
,”
Doctoral dissertation
, University of Manitoba, Winnipeg, MB, Canada.https://mspace.lib.umanitoba.ca/bitstream/handle/1993/19355/Wu_Lyapunov_stability.pdf?sequence=1&isAllowed=y
43.
Tsuji
,
T.
,
Morasso
,
P. G.
,
Goto
,
K.
, and
Ito
,
K.
,
1995
, “
Human Hand Impedance Characteristics During Maintained Posture
,”
Biol. Cybern.
,
72
(
6
), pp.
475
485
.
44.
Slotine
,
J. J.
, and
Li
,
W.
,
1990
,
Applied Nonlinear Control
,
Prentice-Hall
,
Upper Saddle River, NJ
.
You do not currently have access to this content.