This paper presents the adaptive control scheme with sliding mode compensator for vibration control problem in the presence of disturbance. The dynamic model of the flexible cantilever beam using finite element modeling is derived. The adaptive control with sliding mode compensator using output feedback for output tracking is developed to reject the disturbance, and to improve the tracking performance. Satisfactory simulation results verify that the effectiveness of adaptive control scheme with sliding mode compensator.

Volume Subject Area:
Dynamic Systems and Control
Keywords:
finite element model, adaptive control, sliding mode control, vibration suppression
Topics:
Adaptive control, Flexible structures, Vibration control, Cantilever beams, Dynamic models, Feedback, Finite element analysis, Finite element model, Modeling, Simulation results, Sliding mode control, Vibration suppression
1.
Tao, G., Kokotovic, P. V., 1996. Adaptive Control of Systems with Actuator and Sensor Nonlinearities. John Wiley and Sons Inc. London, England.
2.
Ioannou, P., Sun, J., 1996, Robust Adaptive Control. Prentice-Hall.
3.
Ioannou
P.
,
Sun
J.
,
1988
, “
Theory and design of robust direct and indirect adaptive control schemes
,”
Int. Journal of Control
,
47
, pp.
775
–
813
.
4.
Ma
K.
,
2003
, “
Vibration control of smart structures with bonded PZT patches: novel adaptive filtering algorithm and hybrid control scheme
,”
Smart Materials and Structure
,
12
, pp.
473
–
482
.
5.
Baumann
W. T.
,
1997
, “
An adaptive feedback approach to structural vibration suppression
,”
Journal of Sound and Vibration
,
205
, pp.
121
–
133
.
6.
Clark
K.
,
Robertshaw
H.
,
1997
, “
Force feedback in adaptive trusses for vibration isolation in flexible structure
,”
ASME Journal of Dynamics Systems, Measurement and Control
,
119
, pp.
365
–
371
.
7.
Canbolat
H.
,
Dawson
D.
,
1998
, “
Adaptive boundary control of out-of plane cable vibration
,”
ASME Journal of Applied Mechanics
,
65
, pp.
963
–
969
.
8.
Ertur
D.
,
Li
Y.
,
Rahn
C. D.
,
1999
, “
Adaptive vibration isolation for flexible structures
,”
ASME Journal of Vibration and Acoustics
,
121
, pp.
440
–
445
.
9.
Meyrt
J.
,
Harrington
W. B.
,
Agrawal
B. N.
,
Song
G.
,
1998
, “
Vibration suppression of a spacecraft flexible appendage using smart materials
,”
Smart Materials and Structures
,
7
, pp.
95
–
104
.
10.
Gao
W.
,
Wang
Y.
,
1995
, “
Discrete-time variable structure control systems
,”
IEEE trans. on Industrial Electronics
.
42
, pp.
117
–
122
.
11.
Song
G.
,
Mukherjee
R.
,
1998
, “
A comparative study of conventional nonsmooth time-invariant and smooth timevarying robust compensator
,”
IEEE trans. on Control System technology
,
6
(
4
), pp.
571
–
576
.
12.
Song
G.
,
Quinn
D. D.
,
2004
, “
Experimental study of the robust tracking control of a shape memory alloy wire actuator
,”
ASME Journal of Dynamics Systems, Measurement and Control
,
126
, pp.
674
–
677
.
13.
Wang
Y. P.
,
Sinha
A.
,
1998
, “
Adaptive sliding mode control algorithm for a microgravity isolation system
,”
Acta Astronautica
,
43
(
7–8
), pp.
377
–
384
.
14.
Hsu
L.
,
Araujo
A. D.
,
Costa
R.
,
1994
, “
Analysis and design of I/O based variable structure adaptive control
,”
IEEE trans. on Automatic control
,
39
(
1
), pp.
4
–
21
.
15.
Lee
T. H.
,
Xu
J. X.
,
Wang
M.
,
2000
, “
An adaptive variable structure output tracking controller with improved transient performance
,”
International Journal of Systems Science
,
31
(
1
), pp.
35
–
45
.
This content is only available via PDF.
Copyright © 2005
 by ASME
You do not currently have access to this content.