This paper develops an adaptive dynamic surface algorithm for designing the control law for uncertain hysteretic structural systems with seismic disturbances that can be converted to a semi strict feedback form. Hysteretic behavior is usually described by Bouc–Wen model for hysteretic structural systems like base isolation systems. Adaptive sliding mode and adaptive backstepping algorithms are also studied and simulated for comparison purposes. The presented simulation results indicate the effectiveness of the proposed control law in reducing displacement, velocity and acceleration responses of the structural system with acceptable control force. Moreover, using dynamic surface control (DSC), the study analyzes the stability of the controlled system based on the Lyapunov theory.

References

1.
Peimani
,
M.
,
Yazdanpanah
,
M. J.
, and
Khaji
,
N.
,
2013
, “
Parameter Estimation in Hysteretic Systems Based on Adaptive Least-Squares
,”
J. Inf. Syst. Telecommun.
,
1
(
4
), pp.
217
221
.
2.
Mu
,
T.
,
Zhou
,
L.
, and
Yang
,
J. N.
,
2013
, “
Comparison of Adaptive Structural Damage Identification Techniques in Nonlinear Hysteretic Vibration Isolation Systems
,”
Earthquake Eng. Eng. Vib.
,
12
(
4
), pp.
659
667
.
3.
Zhang
,
J.
,
Sato
,
T.
,
Iai
,
S.
, and
Hutchinson
,
T.
,
2008
, “
A Pattern Recognition Technique for Structural Identification Using Observed Vibration Signals: Nonlinear Case Studies
,”
Eng. Struct.
,
30
(
5
), pp.
1417
1423
.
4.
DeVore
,
C.
,
Chang
,
C.-M.
, and
Spencer
, Jr.,
B.
,
2007
, “
Active Base Isolation of Building Structures in Two Dimensions
,”
Earthquake Engineering Symposium for Young Researchers
, pp. 1–10.
5.
Maldonado-Mercado
,
J. C.
,
1995
, “
Passive and Active Control of Structures
,” Doctoral dissertation, Massachusetts Institute of Technology, Cambridge, MA.
6.
Zhang
,
T. P.
, and
Ge
,
S. S.
,
2008
, “
Adaptive Dynamic Surface Control of Nonlinear Systems With Unknown Dead Zone in Pure Feedback Form
,”
Automatica
,
44
(
7
), pp.
1895
1903
.
7.
Kottari
,
A. K.
,
Charalampakis
,
A. E.
, and
Koumousis
,
V. K.
,
2014
, “
A Consistent Degrading Bouc–Wen Model
,”
Eng. Struct.
,
60
, pp.
235
240
.
8.
Tsang
,
H. H.
,
Su
,
R. K. L.
, and
Chandler
,
A. M.
,
2006
, “
Simplified Inverse Dynamics Models for MR Fluid Dampers
,”
Eng. Struct.
,
28
(
3
), pp.
327
341
.
9.
Ikhouane
,
F.
, and
Rodellar
,
J.
,
2007
,
Systems With Hysteresis: Analysis, Identification and Control Using the Bouc–Wen Model
,
Wiley
,
UK
.
10.
Ismail
,
M.
,
Rodellar
,
J.
, and
Ikhouane
,
F.
,
2010
, “
An Innovative Isolation Device for Aseismic Design
,”
Eng. Struct.
,
32
(
4
), pp.
1168
1183
.
11.
Zhou
,
J.
,
Wen
,
C.
, and
Cai
,
W.
,
2006
, “
Adaptive Control of a Base Isolated System for Protection of Building Structures
,”
ASME J. Vib. Acoust.
,
128
(
2
), pp.
261
268
.
12.
Etedali
,
S.
,
Sohrabi
,
M. R.
, and
Tavakoli
,
S.
,
2013
, “
Optimal PD/PID Control of Smart Base Isolated Buildings Equipped With Piezoelectric Friction Dampers
,”
Earthquake Eng. Eng. Vib.
,
12
(
1
), pp.
39
54
.
13.
Wei
,
D. Q.
,
Luo
,
X. S.
,
Wang
,
B. H.
, and
Fang
,
J. Q.
,
2007
, “
Robust Adaptive Dynamic Surface Control of Chaos in Permanent Magnet Synchronous Motor
,”
Phys. Lett. A
,
363
(
1–2
), pp.
71
77
.
14.
Swaroop
,
D.
,
Hedrick
,
J. K.
,
Yip
,
P. P.
, and
Gerdes
,
J. C.
,
2000
, “
Dynamic Surface Control for a Class of Nonlinear Systems
,”
IEEE Trans. Autom. Control
,
45
(
10
), pp.
1893
1899
.
15.
Swaroop
,
D.
,
Gerdes
,
J. C.
,
Yip
,
P. P.
, and
Hedrick
,
J. K.
,
1997
, “
Dynamic Surface Control of Nonlinear Systems
,”
American Control Conference
, pp.
3028
3034
.
16.
Song
,
B.
, and
Hedrick
,
J. K.
,
2011
,
Dynamic Surface Control of Uncertain Nonlinear Systems
,
Springer
, London.
17.
Zhang
,
X. Y.
, and
Lin
,
Y.
,
2010
, “
A Robust Adaptive Dynamic Surface Control for Nonlinear Systems With Hysteresis Input
,”
Zidonghua Xuebao/Acta Autom. Sin.
,
36
(
9
), pp.
1264
1271
.
18.
Ikhouane
,
F.
,
Manosa
,
V.
, and
Rodellar
,
J.
,
2005
, “
Adaptive Control of a Hysteretic Structural System
,”
Automatica
,
41
(
2
), pp.
225
231
.
19.
Acho
,
L.
, and
Pozo
,
F.
,
2009
, “
Sliding Mode Control of Hysteretic Structural Systems
,”
Int. J. Innovative Comput. Inf. Control
,
5
(
4
), pp.
1081
1087
.
20.
Khalil
,
H. K.
, and
Grizzle
,
J. W.
,
1996
,
Nonlinear Systems
,
Prentice Hall
,
Upper Saddle River, NJ
, Vol.
3
.
21.
Zapateiro
,
M.
,
Karimi
,
H. R.
, and
Luo
,
N.
,
2011
, “
Semiactive Vibration Control of Nonlinear Structures Through Adaptive Backstepping Techniques With H∞ Performance
,”
Int. J. Syst. Sci.
,
42
(
5
), pp.
853
861
.
22.
Wang
,
S. G.
,
Roschke
,
P. N.
, and
Yeh
,
H. Y.
,
2004
, “
Robust Control for Structural Systems With Unstructured Uncertainties
,”
J. Eng. Mech.
,
130
(
3
), pp.
337
346
.
You do not currently have access to this content.