The sliding mode control (SMC) has several advantages in terms of good transient performance and system robustness. However, the sensitivity of this control technique to disturbance before reaching the sliding surface and the existence of the chattering phenomenon can be considered as the major problems in its implementation. To overcome these problems, we propose a new discrete integral sliding mode control (DISMC) for input–output model and compare it with the classical SMC and a recent version of DISMC. Then, a stability analysis is presented. Simulation results are given to illustrate the effectiveness of the proposed method.

References

References
1.
Utkin
,
V.
,
Guldner
,
J.
, and
Shijum
,
J.
,
2009
,
Sliding Mode Control in Electromechanical Systems
,
CRC Press
, Boca Raton, FL.
2.
Bandypadhyay
,
B.
,
Janardhanan
,
S.
, and
Spurgeon
,
K. S.
,
2013
,
Advances in Sliding Mode Control: Concept, Theory and Implementation
,
Springer
, Berlin.
3.
Nouri
,
A. S.
,
2008
, “
Sur les Régimes Glissants Continu et Discret
,” Ph.D. thesis, National Engineering School of Sfax, Sfax, Tunisia.
4.
Lopez
,
P.
, and
Nouri
,
A. S.
,
2006
,
Théorie Élémentaire et Pratique de la Commande par Régimes Glissants
,
Springer-Verlag
, Berlin.
5.
Hung
,
J.
,
Gao
,
W.
, and
Hung
,
J. C.
,
1993
, “
Variable Structure Control: A Survey
,”
IEEE Trans. Ind. Electron.
,
40
(
1
), pp.
2
22
.
6.
Utkin
,
V.
,
2013
,
Sliding Modes in Control and Optimization
,
Springer Science and Business Media
, Berlin.
7.
Charles
,
F.
,
2007
, “
Etude de la Commande par Mode de Glissement sur les Systèmes Mono et Multi Variables
,” Ph.D. thesis, Ecole de technologie supérieure, Montreal, QC, Canada.
8.
Zhou
,
D.
,
Sun
,
S.
,
Zhou
,
J. Y.
, and
Teo
,
K. L.
,
2015
, “
A Discrete Sliding-Mode Guidance Law
,”
ASME J. Dyn. Syst. Meas. Control
,
137
(
2
), p.
024501
.
9.
Chan
,
C. Y.
,
1995
, “
Robust Discrete Quasi-Sliding Mode Tracking Controller
,”
Automatica
,
31
(
10
), pp.
1509
1511
.
10.
Furuta
,
K.
,
1990
, “
Sliding Mode Control of a Discrete System
,”
Syst. Control Lett.
,
14
(
2
), pp.
145
152
.
11.
Dehri
,
K.
,
2012
, “
Sur le Rejet des Perturbations Harmoniques par les Régimes Glissants
,” Ph.D. thesis, National Engineering School of Gabes, Gabes, Tunisia.
12.
Dehri
,
K.
,
Ltaief
,
M.
, and
Nouri
,
A. S.
,
2012
, “
Discrete Second Order Sliding Mode Control for Nonlinear Multivariable Systems
,”
Electrotechnical Conference (MELECON’12)
, pp.
387
390
.
13.
Chan
,
C. Y.
,
1997
, “
Discrete Adaptative Sliding Mode Tracking Controller
,”
Automatica
,
33
(
5
), pp.
999
1002
.
14.
Furuta
,
K.
,
1993
, “
VSS Type Self-Tuning Control
,”
IEEE Trans. Ind. Electron.
,
40
(
1
), pp.
37
44
.
15.
Fukuda
,
T.
,
Chen
,
X.
, and
Young
,
K. D.
,
2001
, “
Adaptive Quasi-Sliding-Mode Tracking Control for Discrete Uncertain Input-Output Systems
,”
IEEE Trans. Ind. Electron.
,
48
(1), pp.
216
224
.
16.
Pieper
,
J. K.
, and
Goheen.
,
K. R.
,
1993
, “
Discrete Time Sliding Mode Control Via Input-Output Models
,”
American Control Conference
, June 2–4, San Francisco, CA, pp.
964
965
.
17.
Mitic
,
D.
,
Antic
,
D.
,
Milojkovic
,
M.
,
Nikolic
,
S.
, and
Peric
,
S.
,
2012
, “
Input-Output Based Quasi-Sliding Mode Control of DC-DC Converter
,”
Facta Univ., Ser.: Electron. Energ.
,
25
(
1
), pp.
69
80
.
18.
Chen
,
X.
,
2006
, “
Adaptive Sliding Mode Control for Discrete-Time Multi-Input Multi-Output Systems
,”
Automatica
,
42
(
3
), pp.
427
435
.
19.
Znidi
,
A.
,
Dehri
,
K.
, and
Nouri
,
A. S.
,
2014
, “
Adaptive Sliding Mode Control for Discrete Uncertain Systems Using Matrix RLS Algorithm
,”
15th International Conference Sciences and Techniques of Automatic Control and Computer Engineering on IEEE
(
STA’14
), pp.
953
957
.
20.
Mihoub
,
M.
,
2010
, “
Contribution à la Commande Numérique et à l'observation des Systèmes Complexes en Régimes Glissant
,” Ph.D. thesis, National Engineering School of Gabes, Gabes, Tunisia.
21.
Vázquez
,
C.
,
Fridman
,
L.
,
Collado
,
J.
, and
Castillo
,
I.
,
2015
, “
Second-Order Sliding Mode Control of a Perturbed-Crane
,”
ASME J. Dyn. Syst. Meas. Control
,
137
(
8
), p.
081010
.
22.
Xi
,
Z.
, and
Hesketh
,
T.
,
2010
, “
On Discrete Time Terminal Sliding Mode Control of Nonlinear Systems With Uncertainty
,”
American Control Conference (ACC)
, pp.
980
984
.
23.
Elhajji
,
Z.
,
Dehri
,
K.
, and
Nouri
,
A. S.
,
2014
, “
Discrete Fast Terminal and Integral Sliding Mode Controllers
,”
15th International Conference Sciences and Techniques of Automatic Control and Computer Engineering on IEEE
(
STA’14
), pp.
958
962
.
24.
Romdhane
,
H.
,
Dehri
,
K.
, and
Nouri
,
A. S.
, 2013, “
Discrete Second Order Sliding Mode Control for Input-Output Model
,” International Conference on Control, Engineering & Information Technology (
CEIT'13
), Sousse, Tunisia, June 4–7.
25.
Xi
,
X. C.
,
Hong
,
G. S.
, and
Poo
,
A. N.
,
2010
, “
Improving CNC Contouring Accuracy by Integral Sliding Mode Control
,”
Mechatronics
,
20
(
4
), pp.
442
452
.
26.
Xi
,
X. C.
,
Hong
,
G. S.
, and
Poo
,
A. N.
,
2015
, “
Improving CNC Contouring Accuracy by Robust Digital Integral Sliding Mode Control
,”
Int. J. Mach. Tools Manuf.
,
88
, pp.
51
61
.
27.
Nishizaki
,
J.
,
Okazaki
,
S.
,
Yanou
,
A.
, and
Minami
,
M.
,
2011
, “
Application of Strongly Stable Generalized Predictive Control to Temperature Control of an Aluminum Plate
,”
SICE Annual Conference
, pp.
2602
2607
.
28.
Xu
,
Q.
,
2014
, “
Digital Sliding-Mode Control of Piezoelectric Micropositioning System Based on Input-Output Model
,”
IEEE Trans. Ind. Electron.
,
61
(10), pp.
5517
5526
.
29.
Sarpturk
,
S. Z.
,
Istefanopulos
,
Y.
, and
Kaynak
,
O.
,
1987
, “
On the Stability of Discrete-Time Sliding Mode Control Systems
,”
IEEE Trans. Autom. Control
,
32
(
10
), pp.
930
932
.
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