Current developments in signal processing tools for hardware and software applications have led to employment of these approaches for vibration control in flexible structures. The main challenge of this method is the delay directly generated from the processing in the closed-loop of the vibration control system. This delay causes considerable degradation of the stability of the dynamic system. This study uses the Smith predictor (SP) of common time delay systems to propose an adjustable model reference, where the delay generated from the signal processing block is compensated for vibration control. The vibration control system based on signal processing is applied on a flexible launch vehicle in which the bending vibration modes are modeled as undesirable sinusoidal signals. The results of a numerical simulation of a linear model of the vehicle with the adjustable model reference adaptive system show that the delay in the closed-loop control system is adequately compensated. This approach allows the use of the signal processing tools for vibration analysis and control without substantial delay.

References

References
1.
Kavianipour
,
O.
,
Khoshnood
,
A. M.
, and
Sadati
,
S. H.
,
2013
, “
Reduction of the Actuator Oscillations in the Flying Vehicle Under a Follower Force
,”
Struct. Eng. Mech.
,
47
(
2
), pp.
149
166
.10.12989/sem.2013.47.2.149
2.
Fei
,
H.
,
Song
,
E.
,
Ma
,
X.
,and
Jiang
,
D.
,
2011
, “
Research on Whole Spacecraft Vibration Isolation Based on Predictive Control
,”
Proc. Eng.
,
16
, pp.
467
476
.10.1016/j.proeng.2011.08.1112
3.
Oh
,
C. S.
,
Bang
,
H.
, and
Park
,
C. S.
,
2008
, “
Attitude Control of a Flexible Launch Vehicle Using an Adaptive Notch Filter: Ground Experiment
,”
Control Eng. Pract.
,
16
, pp.
30
42
.10.1016/j.conengprac.2007.03.006
4.
Micheau
,
P
, and
Coirault
,
P.
,
2000
, “
Adaptive Controller Using Filter Banks to Reject Multi-Sinusoidal Disturbance
,”
Automatica
,
36
, pp.
1659
1664
.10.1016/S0005-1098(00)00072-8
5.
Kim
,
S. G.
, and
Yoo
,
C. D.
,
2002
, “
Acoustic Echo Cancellation Based on M-Channel IIR Cosine-Modulated Filter Bank
,”
7th International Conference on Spoken Language Processing Denver
, CO.
6.
Lin
,
T.
,
Tsuji
,
M.
, and
Yamada
,
E.
,
2001
, “
A Wavelet Approach to Real Time Estimation of Power System Frequency
,”
SICE Conference
, Nagoya, Japan.
7.
Chaplais
,
F. C.
,
Tsiotras
,
P.
, and
Jung
,
D.
,
2004
, “
On-Line Wavelet De-Noising With Application to the Control of a Reaction Wheel System
,”
AIAA Guidance, Navigation, and Control Conference
, Providence, RI, AIAA Paper No. 04-5345.
8.
Bibian
,
S.
, and
Jin
,
H.
,
2000
, “
Time Delay Compensation of Digital Control for DC Switch Mode Power Supplies Using Prediction Techniques
,”
IEEE Trans. Power Electron.
,
15
(
5
), pp.
835
842
.10.1109/63.867672
9.
Smith
,
O. J. M.
,
1959
, “
A Controller to Overcome Dead Time
,”
ISA J. Instrum. Soc. Am.
,
6
, pp.
28
33
.
10.
Panda
,
R. C.
,
Hung
,
S. B.
, and
Yu
,
C. C.
,
2006
, “
An Integrated Modified Smith Predictor With PID Controller for Integrator Plus Dead time
,”
Process. Indus. Eng. Chem. Res.
,
45
, pp.
1397
1407
.10.1021/ie0580194
11.
Poorani
,
V. J.
, and
Anand
,
L. D. V.
,
2013
, “
Comparison of PID Controller and Smith Predictor Controller for Heat Exchanger
,”
International Conference on Emerging Trends in Computing, Communication and Nanotechnology (ICE-CCN)
, Tirunelveli, pp.
217
221
.
12.
Ben Atia
,
S.
, and
Ltaief
,
M.
,
2013
, “
Adaptive Smith Predictor: Multi Model Approach
,”
10th International Multi-Conference on Systems, Signals & Devices (SSD)
, Hammamet, Tunisia, pp.
1
6
.
13.
Johnson
,
C. R.
,
1979
, “
Adjustable Model Reference Adaptive Control
,”
18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes
, pp.
359
360
.
14.
Khoshnood
,
A. M.
,
Roshanian
,
J.
,
Jafari
,
A. A.
, and
Khaki-Sedigh
,
A.
,
2010
, “
An Adjustable Model Reference Adaptive Control for a Flexible Launch Vehicle
,”
ASME J. Dyn. Syst., Meas., Control
,
132
, p.
041010
.10.1115/1.4001709
15.
Roshanian
,
J.
,
Saleh
,
A. R.
, and
Jahed-Motlagh
,
M. R.
,
2007
, “
On the Design of Adaptive Autopilots for a Launch Vehicle
,”
Proc. Inst. Mech. Eng., Part I: J. Syst. Control Eng.
,
221
(
1
), pp.
27
38
.10.1243/13506501JET196
16.
Jafari
,
A. A.
, and
Khoshnood
,
A. M.
,
2011
, “
Investigation on the Active Control of Multi Vibration Subsystems via Sub-band Adaptive Filtering
,”
2nd International Conference on Electrical and Control Engineering
, ICECE, China, pp.
4822
4825
.
17.
Lee
,
K. A.
,
Gan
,
W. S.
, and
Kuo
,
S. M.
,
2009
,
Sub-band Adaptive Filtering: Theory and Implementation
,
John Wiley & Sons, Ltd
,
West Sussex, UK
.
18.
Martín-Martín
,
P.
,
Cruz-Roldán
,
F.
,
Amo-López
,
P.
, and
López-Ferreras
,
F.
,
2001
, “
Prototype Filter Design Techniques for Cosine-Modulated Tran multiplexers
,”
European Conference on Circuit Theory and Design
, Espoo, Finland.
You do not currently have access to this content.