This paper presents a development of hybrid control strategies for a single-link flexible manipulator. The control system consists of two actuators; a DC servo motor at the joint and a distributed piezoelectric film actuator bonded to the surfaces of the flexible link. Equations of motion considering two control inputs were developed using the generalized Hamilton’s principle. A feedback control law has been developed based on Lyapunov’s direct method and global stability of closed-loop system is guaranteed. A loop-closure technique was introduced to simplify the design procedure for choosing the feedback gains. Simulation and the experimental results were found to be in good agreement and performance improvement obtained using the hybrid control strategy has been demonstrated.

1.
Asokanthan, S. F., and Gu, M., 1995, “Distributed Control of Flexible Structure: Theory and Experiments,” Proceedings of Asia-Pacific Control Conference 95, Kuala Lumpur, Malaysia, Dec.
2.
Asokanthan, S. F., and Gu, M., 1997, “Modified Lyapunov Control Law for Torsional Vibration Suppression using Laminated PVDF Actuator,” Proceedings of the 1997 American Control Conference, Vol. 6, pp. 3552–3556, Albuquerque, NM, June.
3.
Bailey
T.
, and
Hubbard
J. E.
,
1985
, “
Distributed Piezoelectric Polymer Active Vibration Control of a Cantilever Beam
,”
J. Guidance, Control and Dynamics
, Vol.
8
, No.
5
, pp.
605
611
.
4.
Book
W. J.
, and
Majette
M.
,
1983
, “
Controller Design for Flexible Distributed Mechanical Arms Via Combined State Space and Frequency Domain Techniques
,”
ASME Journal of Dynamic Systems, Measurement, and Control
, Vol.
105
, pp.
245
254
.
5.
Book, W. J., 1990, “Modeling, Design and Control of Flexible Manipulator Arms: A Tutorial Review,” Proceedings IEEE Conference of Decision and Control, pp. 500–506.
6.
Brueke
S. E.
, and
Hubbard
J. E.
,
1990
, “
Distributed Transducers for Structural Measurement and Control
,”
Control and Dynamic System
, Vol.
36
, pp.
223
273
.
7.
Crawley
E. F.
, and
De Luis
J.
,
1987
, “
Use of Piezoelectric Actuators as Elements of Intelligent Structures
,”
AIAA Journal
, Vol.
25
, No.
10
, pp.
1373
1385
.
8.
Garcia
E.
, and
Inman
D. J.
,
1991
, “
Modeling of the Slewing control of a Flexible Structure
,”
J. of Guidance, Control, and Dynamics
, Vol.
14
, No.
4
, pp.
736
742
.
9.
Junkins
L. J.
,
Rahman
Z. H.
, and
Bang
H.
,
1991
, “
Near-Minimum-Time Control of Distributed Parameter System: Analytical and Experimental Results
,”
J. of Guidance, Control, and Dynamics
, Vol.
14
, No.
2
, pp.
406
415
.
10.
Meirovitch, L., 1967, Analytical Methods in Vibrations, Macmillan Series in Applied Mechanics, New York, NY: Macmillan Company.
11.
Milford
R. I.
, and
Asokanthan
S. F.
,
1996
, “
Experimental On-line Frequency Domain Identification and Control of A Flexible Slewing Beam
,”
ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol.
118
, pp.
58
65
.
12.
Li
Z.
, and
Bainum
P. M.
,
1994
, “
Vibration Control of Flexible Spacecraft Integrating a Momentum Exchange Controller and a Distributed Piezoelectric Actuator
,”
J. of Sound and Vibration
, Vol.
177
, No.
4
, pp.
539
553
.
13.
Oakley, C. M., 1991, “Experiments in Modeling and End-Point Control of Two-Link Flexible Manipulators,” Ph.D. thesis, Department of Mechanical Engineering, Stanford University, SUDAAR 603, Apr.
14.
Pennwalt Corporation, 1983, Kynar Piezoelectric Film Manual, Pennwalt Corporation.
15.
Choi
Seung-Bok
, and
Shin
Ho-Cheol
,
1996
, “
A Hybrid Actuator Scheme for Robust Position Control of a Flexible single-link Manipulator
,”
J. of Robotic Systems
, Vol.
13
, No.
6
, pp.
359
370
.
16.
Spearritt
D. J.
, and
Asokanthan
S. F.
,
1996
, “
Development of A Spatially Distributed Torsional Vibration Actuator
,”
J. of Sound and Vibration
, Vol.
193
, No.
5
, pp.
941
956
.
17.
Tzou, H. S., Wan, G. C., and Tseng, C. I., 1989, “Dynamics and Distributed Vibration Controls of Flexible Manipulators: Integrated Distributed Sensing and Active Piezoelectric Actuator,” Proceedings International Conference on Robotics and Automation, pp. 1716–1721.
18.
Woerkom
P. Th. L. M. Van
,
1995
, “
Modified Dynamics Modeling for Maneuvering Flexible Space Manipulators
,”
J. of Sound and Vibration
, Vol.
179
, No.
5
, pp.
777
792
.
19.
Yang
S. M.
, and
Liu
Y. C.
,
1995
, “
Frequency Domain Control of Flexible Beams with Piezoelectric Actuator
,”
ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol.
117
, pp.
541
546
.
20.
Yuan
K.
, and
Hu
C. M.
,
1996
, “
Nonlinear Modeling and Partial Linearizing Control of a Slewing Timoshenko-Beam
,”
ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol.
118
, pp.
75
83
.
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