Abstract

Design of fault-tolerant controllers (FTC) for hydraulic actuators is one of the challenges in the area of fluid power systems. In real applications, it is not possible to model or measure some faults accurately. For example, an accurate model for the actuator internal leakage has not been well-established. To prevent the actuator malfunctioning due to the faults (e.g., the internal leakage), there is a need for designing a fault-tolerant control system. In this paper, a methodology is proposed to design an FTC for the hydraulic actuators using experimental data only. In the proposed design procedure, there is no need for either having a prior knowledge about the system and fault models or measuring and detecting the fault during the experiments. The methodology is based on introducing synthetic errors into the hydraulic actuator that is otherwise operating in the healthy mode. Synthetic errors are used to emulate the effect of the fault on the system response. The wavelet transform (WT) is utilized to quantify the effect of the synthetic errors on the error between the desired and actual displacement data. Results of the wavelet analysis are then employed for designing a fractional-order proportional-integral-derivative (FOPID) controller tolerant to the fault. The proposed approach is exemplified with the design of a controller tolerant to the internal leakage. Several experiments are conducted to verify the efficacy of the FOPID-based FTC. The experimental results prove that the proposed methodology works well for the hydraulic actuation system experiencing the internal leakage.

References

1.
Altare
,
G.
, and
Vacca
,
A.
,
2015
, “
A Design Solution for Efficient and Compact Electro-Hydraulic Actuators
,”
Procedia Eng.
,
106
, pp.
8
16
.10.1016/j.proeng.2015.06.003
2.
Wang
,
Z.
,
Duan
,
R.
,
Sun
,
G.
, and
Chi
,
M.
,
2016
, “
Hydraulic Quadruped Robot Joint Force Control Based on Double Internal Model Controller
,”
Int. J. Control Autom.
,
9
(
1
), pp.
241
250
.10.14257/ijca.2016.9.1.22
3.
Ge
,
L.
,
Quan
,
L.
,
Zhang
,
X.
,
Zhao
,
B.
, and
Yang
,
J.
,
2017
, “
Efficiency Improvement and Evaluation of Electric Hydraulic Excavator With Speed and Displacement Variable Pump
,”
Energy Convers. Manage.
,
150
, pp.
62
71
.10.1016/j.enconman.2017.08.010
4.
Karpenko
,
M.
, and
Sepehri
,
N.
,
2010
, “
Quantitative Fault Tolerant Control Design for a Leaking Hydraulic Actuator
,”
ASME J. Dyn. Syst., Meas. Control
,
132
(
5
), p.
054505
.10.1115/1.4001707
5.
Tan
,
H.
, and
Sepehri
,
N.
,
2002
, “
Parametric Fault Diagnosis for Electrohydraulic Cylinder Drive Units
,”
IEEE Trans. Ind. Electron.
,
49
, pp.
96
106
.10.1109/41.982253
6.
Le
,
T. T.
,
Watton
,
J.
, and
Pham
,
D. T.
,
1998
, “
Fault Classification of Fluid Power System Using a Dynamic Feature Extraction Technique and Neural Networks
,”
J. Syst. Control Eng.
,
211
, pp.
307
317
. https://journals.sagepub.com/doi/abs/10.1243/0959651981539325
7.
Shi
,
Z.
,
Gu
,
F.
,
Lennox
,
B.
, and
Ball
,
A. D.
,
2005
, “
The Development of an Adaptive Threshold for Model-Based Fault Detection of a Nonlinear Electro-Hydraulic System
,”
Control Eng. Pract.
,
13
(
11
), pp.
1357
1367
.10.1016/j.conengprac.2004.11.014
8.
Afshari
,
H. H.
,
Gadsden
,
S. A.
, and
Habibi
,
S. R.
,
2014
, “
Robust Fault Diagnosis of an Electro-Hydrostatic Actuator Using the Novel Dynamic Second-Order SVSF and IMM Strategy
,”
Int. J. Fluid Power
,
15
(
3
), pp.
181
196
. https://www.tandfonline.com/doi/abs/10.1080/14399776.2014.981134
9.
Goharrizi
,
A. Y.
, and
Sepehri
,
N.
,
2011
, “
A Wavelet-Based Approach for External Leakage Detection and Isolation From Internal Leakage in Valve-Controlled Hydraulic Actuators
,”
IEEE Trans. Ind. Electron.
,
58
(
9
), pp.
4374
4384
.10.1109/TIE.2010.2095396
10.
Goharrizi
,
A. Y.
, and
Sepehri
,
N.
,
2012
, “
Internal Leakage Detection in Hydraulic Actuators Using Empirical Mode Decomposition and Hilbert Spectrum
,”
IEEE Trans. Instrum. Meas.
,
61
(
2
), pp.
368
378
.10.1109/TIM.2011.2161938
11.
Goharrizi
,
A. Y.
, and
Sepehri
,
N.
,
2013
, “
Application of Fast Fourier and Wavelet Transforms Towards Actuator Leakage Diagnosis: A Comparative Study
,”
Int. J. Fluid Power
,
14
(
2
), pp.
39
51
.10.1080/14399776.2013.10781074
12.
Maddahi
,
A.
,
Kinsner
,
W.
, and
Sepehri
,
N.
,
2016
, “
Internal Leakage Detection in Electro-Hydrostatic Actuators Using Multi-Scale Analysis of Experimental Data
,”
IEEE Trans. Instrum. Meas.
,
65
(
12
), pp.
2734
2747
.10.1109/TIM.2016.2608446
13.
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
.10.1016/j.conengprac.2005.10.007
14.
Seo
,
J.
,
Venugopal
,
R.
, and
Kenné
,
J.-P.
,
2007
, “
Feedback Linearization Based Control of a Rotational Hydraulic Drive
,”
Control Eng. Pract.
,
15
(
12
), pp.
1495
1507
.10.1016/j.conengprac.2007.02.009
15.
Nakkarat
,
P.
, and
Kuntanapreeda
,
S.
,
2009
, “
Observer-Based Backstepping Force Control of an Electrohydraulic Actuator
,”
Control Eng. Pract.
,
17
(
8
), pp.
895
902
.10.1016/j.conengprac.2009.02.011
16.
Karpenko
,
M.
, and
Sepehri
,
N.
,
2010
, “
On Quantitative Feedback Design for Robust Position Control of Hydraulic Actuators
,”
Control Eng. Pract.
,
18
(
3
), pp.
289
299
.10.1016/j.conengprac.2009.11.007
17.
Maddahi
,
A.
,
Sepehri
,
N.
, and
Kinsner
,
W.
,
2019
, “
Fractional-Order Control of Hydraulically-Powered Actuators: Controller Design and Experimental Validation
,”
IEEE/ASME Trans. Mechatronics
,
24
(
2
), pp.
796
807
.10.1109/TMECH.2019.2894105
18.
Karpenko
,
M.
, and
Sepehri
,
N.
,
2003
, “
Robust Position Control of an Electro-Hydraulic Actuator With a Faulty Actuator Piston Seal
,”
ASME J. Dyn. Syst., Meas., Control
,
125
(
3
), pp.
413
423
.10.1115/1.1592194
19.
Karpenko
,
M.
, and
Sepehri
,
N.
,
2005
, “
Fault-Tolerant Control of a Servohydraulic Positioning System With Crossport Leakage
,”
IEEE Trans. Control Syst. Technol.
,
13
(
1
), pp.
155
161
.10.1109/TCST.2004.838570
20.
Rajasekhar
,
A.
,
Das
,
S.
, and
Suganthan
,
P. N.
,
2012
, “
Design of Fractional Order Controller for a Servohydraulic Positioning System With Micro Artificial Bee Colony Algorithm
,”
IEEE Congress on Evolutionary Computation, Brisbane, Australia, June 10–15, pp. 1–8.
21.
Ouyang
,
H.
, and
Lin
,
Y.
,
2018
, “
Supervisory Adaptive Fault-Tolerant Control Against Actuator Failures With Application to an Aircraft
,”
Int. J. Robust Nonlinear Control
,
28
(
2
), pp.
536
551
.10.1002/rnc.3883
22.
Ijaz
,
S.
,
Yan
,
L.
,
Hamayun
,
M. T.
, and
Shi
,
C.
,
2019
, “
Active Fault Tolerant Control Scheme for Aircraft With Dissimilar Redundant Actuation System Subject to Hydraulic Failure
,”
J. Franklin Inst.
,
356
(
3
), pp.
1302
1332
.10.1016/j.jfranklin.2018.11.018
23.
Nguyen
,
T. V.
, and
Ha
,
C.
,
2019
, “
Sensor Fault-Tolerant Control Design for Mini Motion Package Electro-Hydraulic Actuator
,”
Processes
,
7
(
2
), p.
89
.10.3390/pr7020089
24.
Hjalmarsson
,
H.
,
Gevers
,
M.
,
Gunnarsson
,
S.
, and
Lequin
,
O.
,
1998
, “
Iterative Feedback Tuning: Theory and Applications
,”
IEEE Control Syst.
,
18
(
4
), pp.
26
41
. https://ieeexplore.ieee.org/abstract/document/710876
25.
Prochazka
,
H.
,
Gevers
,
M.
,
Anderson
,
B. D. O.
, and
Ferrera
,
C.
,
2005
, “
Iterative Feedback Tuning for Robust Controller Design and Optimization
,”
44th IEEE Conference on Decision and Control, and the European Control Conference
, Seville, Spain, Dec. 15, 2005, pp.
3602
3607
.
26.
Chen
,
Y.
,
Vinagre
,
B. M.
, and
Podlubny
,
I.
,
2004
, “
Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives—An Expository Review
,”
Nonlinear Dyn.
,
38
(
1–4
), pp.
155
170
.10.1007/s11071-004-3752-x
27.
Oustaloup
,
A.
,
Levron
,
F.
,
Mathieu
,
B.
, and
Nanot
,
F. M.
,
2000
, “
Frequency-Band Complex Noninteger Differentiator: Characterization and Synthesis
,”
IEEE Trans. Circuits Syst. I: Fundam. Theory Appl.
,
47
(
1
), pp.
25
39
.10.1109/81.817385
28.
Li
,
Y.
,
Meng
,
X.
,
Zheng
,
B.
, and
Ding
,
Y.
,
2015
, “
Parameter Identification of Fractional Order Linear System Based on Haar Wavelet Operational Matrix
,”
ISA Trans.
,
59
, pp.
79
84
.10.1016/j.isatra.2015.08.011
29.
Astrom
,
K. J.
, and
Haggland
,
T.
,
1995
,
PID Controllers: Theory, Design and Tuning
,
International Society for Measurement and Controls
,
Research Triangle Park, NC
.
30.
Rai
,
P.
,
Shekher
,
V.
, and
Prakash
,
O.
,
2012
, “Determination of Stabilizing Parameter of Fractional Order PID Controller Using Genetic Algorithm,”
Int. J. Comput. Eng. and Manage.
, 15(1), pp. 24–32.https://www.ijcem.org/papers012012/ijcem_012012_06.pdf
31.
Burrus
,
C. S.
,
Gopinath
,
R. A.
, and
Guo
,
H.
,
1998
,
Introduction to Wavelets and Wavelet Transforms
,
Prentice Hall
,
Englewood Cliffs, NJ
.
32.
Ukil
,
A.
, and
Zivanovic
,
R.
,
2006
, “
Abrupt Change Detection in Power System Fault Analysis Using Adaptive Whitening Filter and Wavelet Transform
,”
Electric Power Syst. Res.
,
76
(
9–10
), pp.
815
823
.10.1016/j.epsr.2005.10.009
33.
Mallat
,
S.
,
1989
, “
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
,”
IEEE Trans. Pattern Anal. Mach. Intell.
,
11
(
7
), pp.
674
693
.10.1109/34.192463
34.
Strang
,
G.
, and
Nguyen
,
T.
,
1996
,
Wavelet and Filter Banks
,
Wellesley-Cambridge Press
,
Cambridge, UK
.
35.
Ren
,
G.
,
Esfandiari
,
M.
,
Song
,
J.
, and
Sepehri
,
N.
,
2016
, “
Position Control of an Electrohydrostatic Actuator With Tolerance to Internal Leakage
,”
IEEE Trans. Control Syst. Technol.
,
24
(
6
), pp.
2224
2232
.10.1109/TCST.2016.2517568
36.
Houpis
,
C. H.
, and
Rasmussen
,
S. J.
,
1999
,
Quantitative Feedback Theory: Fundamentals and Applications
,
Marcel Dekker
,
New York
.
37.
Filon
,
L. N. G.
,
1930
, “
On a Quadrature Formula for Trigonometric Integrals
,”
Proc. R. Soc. Edinburgh
,
49
, pp.
38
47
.10.1017/S0370164600026262
38.
Karpenko
,
M.
, and
Sepehri
,
N.
,
2008
, “
Equivalent Time-Invariant Modelling of Electrohydraulic Actuators With Application to Robust Control Synthesis
,”
Int. J. Fluid Power
,
9
(
3
), pp.
7
18
.10.1080/14399776.2008.10785983
39.
Ozdemir
,
A. A.
, and
Gumussoy
,
S.
,
2017
, “
Transfer Function Estimation in System Identification Toolbox Via Vector Fitting
,”
IFAC-PapersOnline
,
50
(
1
), pp.
6232
6237
.10.1016/j.ifacol.2017.08.1026
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