Input shaping technique has been applied to flexible-joint robot to suppress its residual vibration from fast point-to-point movement. Input shaping performance deteriorates when the knowledge of the mode parameters of the robot is not accurate. Several robust input shapers were proposed at the expense of longer move time. A novel input shaping system, consisting of a quantitative feedback controller, a feed-forward reference model, and a simple zero-vibration (ZV) input shaper, is proposed in this paper. Advantages over the existing robust input shapers include toleration of substantially larger amount of uncertainty in the mode parameters, shorter move time that does not increase with insensitivity, application to nonlinear and time-varying systems, and suppression of vibration induced by disturbance and noise.

References

1.
Sweet
,
L. M.
, and
Good
,
M. C.
,
1984
, “
Re-Definition of the Robot Motion Control Problem: Effects of Plant Dynamics Drive System Constraints, and User Requirements
,” 23rd
IEEE
Conference on Decision and Control
, Las Vegas, NV, Dec. 12–14, pp.
724
731
.
2.
Smith
,
O. J. M.
,
1957
, “
Posicast Control of Damped Oscillatory Systems
,”
Proc. IRE
,
45
(
9
), pp.
1249
1255
.
3.
Singer
,
N. C.
, and
Seering
,
W. C.
,
1990
, “
Preshaping Command Inputs to Reduce System Vibration
,”
ASME J. Dyn. Syst., Meas., Control
,
112
(
1
), pp.
76
82
.
4.
Elbadawy
,
A. A.
, and
Shehata
,
M. M. G.
,
2015
, “
Anti-Sway Control of Marine Cranes Under the Disturbance of a Parallel Manipulator
,”
Nonlinear Dyn.
,
82
(
1
), pp.
415
434
.
5.
Aribowo
,
W.
,
Yamashita
,
T.
, and
Terashima
,
K.
,
2015
, “
Integrated Trajectory Planning and Sloshing Suppression for Three-Dimensional Motion of Liquid Container Transfer Robot Arm
,”
J. Rob.
,
2015
, pp.
1
15
.
6.
Zhang
,
Y.
, and
Zhang
,
J.-R.
,
2013
, “
Combined Control of Fast Attitude Maneuver and Stabilization for Large Complex Spacecraft
,”
Acta Mech. Sin.
,
29
(
6
), pp.
875
882
.
7.
Pridgen
,
B.
, and
Singhose
,
W.
,
2012
, “
Comparison of Polynomial Cam Profiles and Input Shaping for Driving Flexible Systems
,”
ASME J. Mech. Des.
,
134
, pp.
1
7
.
8.
Boettcher
,
U.
,
Fetzer
,
D.
,
Li
,
H.
,
Callafon
,
R. A. D.
, and
Talke
,
F. E.
,
2012
, “
Reference Signal Shaping for Closed-Loop Systems With Application to Seeking in Hard Disk Drives
,”
IEEE Trans. Control Syst. Technol.
,
20
(
2
), pp.
335
345
.
9.
Maleki
,
E.
,
Pridgen
,
B.
,
Singhose
,
W.
,
Glauser
,
U.
, and
Seering
,
W.
,
2012
, “
Educational Use of a Small-Scale Cherrypicker
,”
Int. J. Mech. Eng. Educ.
,
40
(
2
), pp.
104
120
.
10.
Burns
,
D. J.
,
Youcef-Toumi
,
K.
, and
Fantner
,
G. E.
,
2011
, “
Indirect Identification and Compensation of Lateral Scanner Resonances in Atomic Force Microscopes
,”
Nanotechnology
,
22
(
31
), pp.
1
10
.
11.
Fortgang
,
J.
,
Singhose
,
W.
,
Márquez
,
J. D. J.
, and
Perez
,
J.
,
2011
, “
Command Shaping Control for Micro-Milling Operations
,”
Int. J. Control, Autom. Syst.
,
9
(
6
), pp.
1136
1145
.
12.
Palunko
,
I.
,
Fierro
,
R.
, and
Cruz
,
P.
,
2012
, “
Trajectory Generation for Swing-Free Maneuvers of a Quadrotor With Suspended Payload: A Dynamic Programming Approach
,” 2012
IEEE
International Conference on Robotics and Automation
, Saint Paul, MN, May 14–18, pp.
2691
2697
.
13.
Shah
,
U. H.
, and
Hong
,
K.-S.
,
2014
, “
Input Shaping Control of a Nuclear Power Plant's Fuel Transport System
,”
Nonlinear Dyn.
,
77
(
4
), pp.
1737
1748
.
14.
Zolfagharian
,
A.
,
Noshadi
,
A.
,
Zain
,
M. Z. M.
, and
Bakar
,
A. R. A.
,
2013
, “
Practical Multi-Objective Controller for Preventing Noise and Vibration in an Automobile Wiper System
,”
Swarm Evol. Comput.
,
8
, pp.
54
68
.
15.
Chatlatanagulchai
,
W.
, and
Saeheng
,
K.
,
2009
, “
Real-Time Reference Position Shaping to Reduce Vibration in Slewing of a Very-Flexible-Joint Robot
,”
J. Res. Eng. Technol.
,
6
(
1
), pp.
51
66
.
16.
Yun
,
S.-K.
,
Kang
,
S.
,
Kim
,
M.
, and
Yoon
,
S.-S.
,
2004
, “
Input Preshaping Control of the Safe Arm With MR-Based Passive Compliant Joints
,”
IEEE
International Conference on Robotics and Automation
, New Orleans, LA, Apr. 26–May 1, pp.
2788
2793
.
17.
Ahmad
,
M. A.
,
Tumari
,
M. Z. M.
, and
Nasir
,
A. N. K.
,
2013
, “
Composite Fuzzy Logic Control Approach to a Flexible Joint Manipulator
,”
Int. J. Adv. Rob. Syst.
,
10
, pp.
1
9
.
18.
Pereira
,
E.
,
Trapero
,
J. R.
,
Díaz
,
I. M.
, and
Feliu
,
V.
,
2012
, “
Adaptive Input Shaping for Single-Link Flexible Manipulators Using an Algebraic Identification
,”
Control Eng. Pract.
,
20
(
2
), pp.
138
147
.
19.
Fliess
,
M.
, and
Sira-Ramirez
,
H.
,
2008
, “
Closed-Loop Parametric Identification for Continuous-Time Linear Systems Via New Algebraic Techniques
,”
Identification of Continuous-Time Models From Sampled Data
,
H.
Garnier
, and
L.
Wang
, eds.,
Springer
,
London
, pp.
363
391
.
20.
Yavuz
,
H.
,
Mıstıkoglu
,
S.
, and
Kapucu
,
S.
,
2012
, “
Hybrid Input Shaping to Suppress Residual Vibration of Flexible Systems
,”
J. Vib. Control
,
18
(
1
), pp.
132
140
.
21.
Singhose
,
W. E.
,
Seering
,
W. P.
, and
Singer
,
N. C.
,
1990
, “
Shaping Inputs to Reduce Vibration: A Vector Diagram Approach
,” 1990
IEEE
International Conference on Robotics and Automation
, Cincinnati, OH, May 13–18, pp.
922
927
.
22.
Rew
,
K.-H.
,
Ha
,
C.-W.
, and
Kim
,
K.-S.
,
2013
, “
An Impulse-Time Perturbation Approach for Enhancing the Robustness of Extra-Insensitive Input Shapers
,”
Automatica
,
49
(
11
), pp.
3425
3431
.
23.
Singer
,
N. C.
, and
Seering
,
W. P.
,
1992
, “
An Extension of Command Shaping Methods for Controlling Residual Vibration Using Frequency Sampling
,” 1992
IEEE
International Conference on Robotics and Automation
, Nice, France, May 12–14, pp.
800
805
.
24.
Singh
,
T.
,
2002
, “
Minimax Design of Robust Controllers for Flexible Systems
,”
J. Guid. Control Dyn.
,
25
(
5
), pp.
868
875
.
25.
Pao
,
L. Y.
,
Chang
,
T. N.
, and
Hou
,
E.
,
1997
, “
Input Shaper Designs for Minimizing the Expected Level of Residual Vibration in Flexible Structures
,”
American Control Conference
, Albuquerque, New Mexico, June 4–6, pp.
3542
3546
.
26.
Singh
,
T.
,
Singla
,
P.
, and
Konda
,
U.
,
2010
, “
Polynomial Chaos Based Design of Robust Input Shapers
,”
ASME J. Dyn. Syst., Meas., Control
,
132
(
5
), pp.
1
13
.
27.
Conord
,
T.
, and
Singh
,
T.
,
2006
, “
Robust Input Shaper Design Using Linear Matrix Inequalities
,” 2006
International Conference on Control Applications
, Munich, Germany, Oct. 4–6, pp.
1470
1475
.
28.
Chatlatanagulchai
,
W.
, and
Kaveesoontornsanoh
,
P.
,
2014
, “
Improving Robustness of Input Shaping Technique With Model Reference Iterative Learning Control
,”
28th Conference of Mechanical Engineering Network of Thailand (MENETT 28)
, Khonkaen, Thailand, pp.
1
8
.
29.
Pai
,
M.-C.
,
2012
, “
Robust Input Shaping Control for Multi-Mode Flexible Structures Using Neuro-Sliding Mode Output Feedback Control
,”
J. Franklin Inst.
,
349
(
3
), pp.
1283
1303
.
30.
Hu
,
Q.
,
Gao
,
X.-Z.
, and
Ma
,
G.
,
2009
, “
Reference Model Variable Structure Output Feedback for Attitude Maneuvers Control of Flexible Spacecrafts
,”
Intell. Autom. Soft Comput.
,
15
(
1
), pp.
53
62
.
31.
Yuan
,
D.
, and
Chang
,
T.
,
2008
, “
Model Reference Input Shaper Design With Applications to a High-Speed Robotic Workcell With Variable Loads
,”
IEEE Trans. Ind. Electron.
,
55
(
2
), pp.
842
851
.
32.
Yu
,
L.
, and
Chang
,
T. N.
,
2010
, “
Zero Vibration On-Off Position Control of Dual Solenoid Actuator
,”
IEEE Trans. Ind. Electron.
,
57
(
7
), pp.
2519
2526
.
33.
Fujioka
,
D.
, and
Singhose
,
W.
,
2014
, “
Control Effort Reduction Analysis of Zero-Vibration Model Reference Control for Controlling a Time-Varying Plant
,”
American Control Conference
, Portland, OR, June 4–6, pp.
3110
3115
.
34.
Lewis
,
F. L.
,
Jagannathan
,
S.
, and
Yesildirek
,
A.
,
1998
,
Neural Network Control of Robot Manipulators and Non-Linear Systems
,
CRC Press
,
Boca Raton
.
35.
Chatlatanagulchai
,
W.
,
2015
,
Input Shaping for Vibration Suppression in Flexible Systems
,
Misterkopy
,
Bangkok, Thailand
, Chap. 2.
36.
Singhose
,
W.
,
Seering
,
W.
, and
Singer
,
N.
,
1994
, “
Residual Vibration Reduction Using Vector Diagrams to Generate Shaped Inputs
,”
ASME J. Mech. Des.
,
116
(
2
), pp.
654
659
.
37.
Chatlatanagulchai
,
W.
,
Poedaeng
,
P.
, and
Meckl
,
P. H.
,
2014
, “
Integrating an Input Shaper With a Quantitative-Feedback-Theory-Based Controller to Effectively Reduce Residual Vibration in Slewing of a Two-Staged Pendulum With Uncertain Payload
,”
Kasetsart J.
,
48
(
1
), pp.
150
166
.
38.
Chatlatanagulchai
,
W.
,
2011
,
System Modeling and Control
,
Misterkopy
,
Bangkok, Thailand
, Chap. 10.
39.
Yaniv
,
O.
,
1999
,
Quantitative Feedback Design of Linear and Nonlinear Control Systems
,
Kluwer Academic Publishers
,
Norwell, MA
.
40.
Vyhlídal
,
T.
,
Kučera
,
V.
, and
Hromčík
,
M.
,
2013
, “
Signal Shaper With a Distributed Delay: Spectral Analysis and Design
,”
Automatica
,
49
(
11
), pp.
3484
3489
.
You do not currently have access to this content.