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Frontiers of Mechanical Engineering

Front. Mech. Eng.    2018, Vol. 13 Issue (2) : 179-210     https://doi.org/10.1007/s11465-018-0464-3
REVIEW ARTICLE
Model-based nonlinear control of hydraulic servo systems: Challenges, developments and perspectives
Jianyong YAO()
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
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Abstract

Hydraulic servo system plays a significant role in industries, and usually acts as a core point in control and power transmission. Although linear theory-based control methods have been well established, advanced controller design methods for hydraulic servo system to achieve high performance is still an unending pursuit along with the development of modern industry. Essential nonlinearity is a unique feature and makes model-based nonlinear control more attractive, due to benefit from prior knowledge of the servo valve controlled hydraulic system. In this paper, a discussion for challenges in model-based nonlinear control, latest developments and brief perspectives of hydraulic servo systems are presented: Modelling uncertainty in hydraulic system is a major challenge, which includes parametric uncertainty and time-varying disturbance; some specific requirements also arise ad hoc difficulties such as nonlinear friction during low velocity tracking, severe disturbance, periodic disturbance, etc.; to handle various challenges, nonlinear solutions including parameter adaptation, nonlinear robust control, state and disturbance observation, backstepping design and so on, are proposed and integrated, theoretical analysis and lots of applications reveal their powerful capability to solve pertinent problems; and at the end, some perspectives and associated research topics (measurement noise, constraints, inner valve dynamics, input nonlinearity, etc.) in nonlinear hydraulic servo control are briefly explored and discussed.

Keywords hydraulic servo system      adaptive control      robust control      nonlinear friction      disturbance compensation      repetitive control      noise alleviation      constraint control     
Corresponding Author(s): Jianyong YAO   
Just Accepted Date: 13 September 2017   Online First Date: 06 November 2017    Issue Date: 16 March 2018
 Cite this article:   
Jianyong YAO. Model-based nonlinear control of hydraulic servo systems: Challenges, developments and perspectives[J]. Front. Mech. Eng., 2018, 13(2): 179-210.
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http://journal.hep.com.cn/fme/EN/10.1007/s11465-018-0464-3
http://journal.hep.com.cn/fme/EN/Y2018/V13/I2/179
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Fig.1  The schematic diagram of the hydraulic servo system. (a) Servo-valve controlled double rod hydraulic cylinder; (b) servo-valve controlled bidirectional hydraulic motor
Fig.2  Tracking performance of VFPI and FBL for 1°–20 Hz motion. (a) Trajectory tracking; (b) tracking errors of FBL and VFPI
Frequency/Hz Max velocity/(°·s−1) Controller Max error/(° ) Phase lag
5 31.4 VFPI 0.100 0.5°
FBL 0.030 Invisible
10 62.8 VFPI
FBL
0.200
0.026
12.2°
Invisible
15 94.2 VFPI
FBL
0.300
0.036
16.8°
Invisible
20 125.6 VFPI
FBL
0.400
0.050
22°
Invisible
Tab.1  Performances summary with 1° amplitude testing
Fig.3  Tracking performance under PID controller
Fig.4  Tracking performance under ARC controller
Fig.5  Tracking performance of ARISE for normal motion
Fig.6  Tracking errors of ARC and PID for normal motion
Fig.7  Parameter estimation of ARISE for normal motion
Fig.8  Tracking performance of ARISE for slow motion
Fig.9  Tracking errors of ARC and PID controllers for slow motion
Fig.10  Tracking performance of ARISE for fast motion
Fig.11  Tracking errors of ARC and PID controllers for fast motion
Fig.12  Tracking errors of APC, ARC, FLC and PID for normal motion
Indices Me m s
PID 0.0896 0.0532 0.0274
FLC 0.0637 0.0198 0.0125
ARC 0.0136 0.0035 0.0026
APC 0.0089 0.0016 0.0012
Tab.2  Performance indices for normal tracking case
Fig.13  Parameter estimation of APC for normal motion
Indices Me m s
ARC 0.2899 0.0935 0.0623
APC 0.1084 0.0517 0.0244
Tab.3  Performance indices for fast tracking case
Fig.14  Tracking errors of ARC and APC controllers for fast motion
Indices Me m s
PIVF 0.0903 0.0531 0.0274
FLC 0.0663 0.0200 0.0132
AC 0.0123 0.0030 0.0024
ALuGre 0.0081 0.0019 0.0015
Tab.4  Performance indices in normal tracking case
Fig.15  Tracking performance of ALuGre for normal motion
Fig.16  Tracking errors of the other three controllers for normal motion
Indices Me m s
PIVF 0.0213 0.0044 0.0047
FLC 0.0414 0.0050 0.0092
AC 0.0125 0.0013 0.0016
ALuGre 0.0041 0.0008 0.0006
Tab.5  Performance indices in slow tracking case
Fig.17  Tracking performance of ALuGre for slow motion
Fig.18  Tracking errors of the other three controllers for slow motion
Fig.19  Tracking errors of OFRC and PI controllers in normal case. (a) Tracking errors during the whole period in normal case; (b) tracking errors during the last two cycles in normal case
Indices Me m s
PI 0.0501 0.0097 0.0072
OFRC 0.0383 0.0517 0.0065
Tab.6  Performance indices in normal case
Fig.20  Tracking errors of OFRC and PI controllers in slow tracking case. (a) Tracking errors during the whole period in slow tracking case; (b) comparison of tracking errors
Indices Me m s
PI 0.0321 0.0019 0.0033
OFRC 0.0152 0.0008 0.0012
Tab.7  Performance indices in slow tracking case
Fig.21  Tracking errors of OFRC in fast tracking case with disturbance
Fig.22  Tracking errors with z1(0)= ?1
Fig.23  Velocity output with z1(0)= ?1
Fig.24  Acceleration output with z1(0)= ?1
Fig.25  Dead-zone effects and its smooth inverse
Fig.26  Multi-valued effects of an example of hysteresis
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