This paper proposes a novel method as second level adaptation using multiple models to identify and control of a class of multi-input multi-output (MIMO) systems. Different uncertain environments change the system parameters and create multiple operating conditions. These conditions are designed as multiple identification models in a model bank using adaptive laws. These models are evaluated using some estimated weighting factors based on the errors between each of the models and the actual plant. The evaluated models are effectively used in identification and control process. Bounded signals, proper closed-loop tracking performance, and rapid and accurate parameter convergence to their real values are achieved through simulation results.

References

References
1.
Astrom
,
K. J.
, and
Wittenmark
,
B.
,
1995
,
Adaptive Control
,
Addison-Wesley
,
Boston
, pp.
313
320
.
2.
Lin
,
Ch. Y.
, and
Tsao
,
T. Ch.
,
2013
, “
Adaptive Control With Internal Model for High-Performance Precision Motion Control and Its Application to a Fast-Acting Piezoelectric Actuator
,”
ASME J. Dyn. Syst., Meas., Control
,
135
(
6
), pp.
1
11
.10.1115/1.4024901
3.
Zou
,
X.
,
Luo
,
J.
, and
Cao
,
Ch.
,
2013
, “
Adaptive Control for Uncertain Hysteretic Systems
,”
ASME J. Dyn. Syst., Meas., Control
,
136
(
1
), pp.
1
7
.10.1115/1.4025241
4.
Qi
,
R.
,
Huang
,
Y.
,
Jiang
,
B.
, and
Tao
,
G.
,
2013
, “
Adaptive Backstepping Control for a Hypersonic Vehicle With Uncertain Parameters and Actuator Faults
,”
Proc. Inst. Mech. Eng., Part I
,
227
(
1
), pp.
51
61
.10.1177/0959651812450134
5.
Lavretsky
,
E.
, and
Gadient
,
E.
,
2010
, “
Predictor-Based Model Reference Adaptive Control
,”
J. Guid. Control Dyn.
,
33
(
4
), pp.
1195
1201
.10.2514/1.46849
6.
Malhotra
,
U.
, and
Gokaraju
,
R.
,
2014
, “
An Add-On Self-Tuning Control System for a UPFC Application
,”
IEEE Trans. Ind. Electron.
,
61
(
5
), pp.
2378
2388
.10.1109/TIE.2013.2272272
7.
Zhang
,
Sh. H.
,
Zhang
,
Z. M.
, and
Wang
,
Zh. M.
,
2014
, “
Research on Gain Scheduling Control of Online Dynamic Balance for Flexible Spindle
,”
Appl. Mech. Mater.
,
488–489
, pp.
1083
1086
.10.4028/www.scientific.net/AMM.488-489.1083
8.
Narendra
,
K. S.
, and
Balakrishnan
,
J.
,
1997
, “
Adaptive Control Using Multiple Models
,”
IEEE Trans. Autom. Control
,
42
(
2
), pp.
171
187
.10.1109/9.554398
9.
Narendra
,
K. S.
, and
Han
,
Z.
,
2012
, “
A New Approach to Adaptive Control Using Multiple Models
,”
Int. J. Adapt. Control Signal Process.
,
26
(
8
), pp.
778
799
.10.1002/acs.2269
10.
Han
,
Z.
, and
Narendra
,
K. S.
,
2012
, “
New Concepts in Adaptive Control Using Multiple Models
,”
IEEE Trans. Autom. Control
,
57
(
1
), pp.
78
89
.10.1109/TAC.2011.2152470
11.
Lopez
,
R.
,
Malardé
,
J. P.
,
Royer
,
F.
, and
Gaspar
,
P.
,
2014
, “
Improving Argos Doppler Location Using Multiple-Model Kalman Filtering
,”
IEEE Trans. Geosci. Remote Sens.
,
52
(
8
), pp.
4744
4755
.10.1109/TGRS.2013.2284293
12.
Narendra
,
K. S.
, and
Balakrishnan
,
J.
,
1994
, “
Performance Improvement in Adaptive Control Systems Using Multiple Models and Switching
,”
IEEE Trans. Autom. Control
,
39
(
9
), pp.
1861
1866
.10.1109/9.317113
13.
Giovanini
,
L.
,
Sanchez
,
G.
, and
Benosman
,
M.
,
2014
, “
Observer-Based Adaptive Control Using Multiple-Models Switching and Tuning
,”
IET Control Theory Appl.
,
8
(
4
), pp.
235
247
.10.1049/iet-cta.2013.0242
14.
Hosseini
,
S. M.
,
Fatehi
,
A.
,
Sedigh
,
A. K.
, and
Johansen
,
T. A.
,
2013
, “
Automatic Model Bank Selection in Multiple Model Identification of Gas Turbine Dynamics
,”
Proc. Inst. Mech. Eng., Part I
,
227
(
5
), pp.
482
494
.10.1177/0959651813479863
15.
Narendra
,
K. S.
, and
Han
,
Z.
,
2011
, “
The Changing Face of Adaptive Control: The Use of Multiple Models
,”
Annu. Rev. Control
,
35
(
1
), pp.
1
12
.10.1016/j.arcontrol.2011.03.010
16.
Narendra
,
K. S.
, and
Han
,
Z.
,
2011
, “
Adaptive Control Using Collective Information Obtained From Multiple Models
,”
Proceedings of the 18th IFAC World Congress
, Part 1, Milano, Italy, Aug. 28–Sept. 2, Vol.
18
, pp.
362
367
.
17.
Han
,
Z.
, and
Narendra
,
K. S.
,
2010
, “
Multiple Adaptive Models for Control
,” 49th
IEEE
Conference on Decision and Control
, Atlanta, GA, Dec. 15–17, pp.
60
65
.10.1109/CDC.2010.5717910
18.
Narendra
,
K. S.
, and
Han
,
Z.
,
2011
, “
Discrete-Time Adaptive Control Using Multiple Models
,” 2011
American Control Conference
, San Francisco, CA, June 29–July 1, pp.
2921
2926
.10.1109/ACC.2011.5991413
You do not currently have access to this content.