A systematic method for analyzing electrohydraulic servosystems with inherent friction and transport delay is proposed. The analysis concept is well organized and described. Critical boundary equations are proposed to solve for the stability region boundaries. Three divided regions are found and examined, which are stable, unstable, and oscillatory regions. System performance relating to various controller gains and transport delay is discussed using simulation.

Issue Section:
Technical Papers
Keywords:
electrohydraulic control equipment, stability criteria, friction, boundary-value problems, servomechanisms
Topics:
Control equipment, Delays, Friction, Servomechanisms, Stability
1.
Karnopp
,
D.
, 1985, “
Computer simulation of stick-slip friction in mechanical dynamic systems
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
107
, pp.
100
–
103
.
Crossref
Search ADS
 
2.
Haessig
,
D. A.
 and
Friedland
,
B.
, 1991, “
On the modeling and simulation of friction
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
113
, pp.
100
–
103
.
3.
Olsson
,
H.
 and
Åström
,
K. J.
, 2001, “
Friction generated limit cycles
,”
IEEE Trans. Control Syst. Technol.
1063-6536,
9
, pp.
629
–
636
.
Crossref
Search ADS
 
4.
Hensen
,
R. H. A.
 and
van de Molengraft
,
M. J. G.
, 2002, “
Friction induced hunting limit cycles: An event mapping approach
,”
American Control Conference
, AK: Anchorage,
3
, pp.
2267
–
2272
.
5.
Cox
,
C. S.
 and
French
,
I. G.
, 1986, “
Limit cycles prediction conditions for a class of hydraulic control system
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
108
, pp.
17
–
23
.
Crossref
Search ADS
 
6.
Chin
,
J. H.
 and
Fu
,
W. C.
, 1994, “
Analysis of an electrohydraulic servo system subject to stribeck-type friction
,”
Int. J. Syst. Sci.
0020-7721,
25
, pp.
1015
–
1037
.
Crossref
Search ADS
 
7.
Armstrong-Helouvry
,
B.
, and
Amin
,
B.
, 1994, “
PID control in the presence of static friction: exact and describing function analysis
,”
American Control Conference
,
Baltimore
, Maryland, Vol.
1
, pp.
597
–
601
.
8.
Mougenet
,
F.
 and
Hayward
,
V.
, 1995, “
Limit cycle characterization, existence and quenching in the control of a high performance hydraulic actuator
,”
IEEE International Conference on Robotic Automation
,
Detroit
, Michigan, Vol.
3
, pp.
2218
–
2223
.
9.
Agrawal
,
A. K.
,
Yang
,
J. N.
, and
Kosaka
,
H.
, 1999, “
Effect of actuator dynamics and fixed time-delay on the stability of activity controlled structures
,”
American Control Conference
,
San Diego
, California, Vol.
1
, pp.
510
–
514
.
10.
Chang
,
Y. C.
,
Liu
,
C. C.
, and
Han
,
K. W.
, 1998, “
Analysis of limit cycles for a low flying vehicle with three nonlinearities
,”
Actual Problems of Aviation and Aerospace Systems: Processes, Models, Experiment
,
6
, pp.
38
–
50
.
11.
Liaw
,
C. M.
,
Pan
,
C. T.
, and
Han
,
K. W.
, 1987, “
Limit cycle analysis of power systems with governor deadband nonlinearity
,”
J. Chin. Inst. Eng.
0253-3839,
10
, pp.
263
–
271
.
Crossref
Search ADS
 
12.
Slotine
,
J.-J. E.
 and
Li
,
W.
, 1991,
Applied Nonlinear Control
Prentice–Hall
, New Jersey.
13.
Pillai
,
V. K.
 and
Nelson
,
H. D.
, 1988, “
A new algorithm for limit cycle analysis of nonlinear control systems
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
110
, pp.
272
–
277
.
Crossref
Search ADS
 
14.
Merritt
,
H. E.
, 1967,
Hydraulic Control Systems
Wiley
, New York.
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