AN OPTIMAL FUZZY SLIDING MODE CONTROLLER DESIGN BASED ON PARTICLE SWARM OPTIMIZATION AND USING SCALAR SIGN FUNCTION

[1] F. Allouani, D. Boukhetala and F. Boudjema, Particle swarm optimization based fuzzy sliding
mode controller for the twin rotor mimo system, 16th IEEE Mediterranean Electrotechnical
Conference (MELECON), (2012), 1063{1066.
[2] P. P. Bonissone, V. Badami, K. Chaing, P. Khedkar, K. Marcelle and M. Schutten, Industrial
applications of fuzzy logic at general electric, Proceedings of the IEEE, 83(3) (1995), 450{
465.
[3] A. Boubaki, F. Boudjema, C. Boubakir and S. Labiod, A fuzzy sliding mode controller using
nonlinear sliding surface applied to the coupled tanks system, International Journal of Fuzzy
Systems, 10(2) (2008), 112{118.
[4] W. Chang, J. B. Park, Y. H. Joob and G. Chen, Design of robust fuzzy-model- based controller
with sliding mode control for siso nonlinear systems, Fuzzy Sets and Systems, 125(1) (2002),
1{22.
[5] L. Chaouech and A. Chaari, Design of sliding mode control of nonlinear system based on
Takagi-Sugeno fuzzy model, World Congress on Computer and Information Technology (WCCIT),
(2013), 1{6.
[6] L. Chaouech, M. Soltani, S. Dhahri and A. Chaari, Design of new fuzzy sliding mode con-
troller based on parallel distributed compensation controller and using the scalar sign func-
tion, Mathematics and Computers in Simulation, 132 (2017), 277{288.
[7] P. C. Chen, C. W. Chen and W. L. Chiang, GA-based fuzzy sliding mode controller for
nonlinear systems, Mathematical Problems in Engineering, 2008 (2008), 1{16.
[8] C. M. Dorling and A. S. I. Zinober, Two approaches to hyperplane design in multivariable
variable structure control systems, International Journal of Control, 44(1) (1986), 65{82.
[9] P. Durato, C. Abdallah and V. Cerone, Linear quadratic control: An introduction, Prentice
Hall, USA, 1995.
[10] S. El Beid and S. Doubabi, DSP-Based implementation of fuzzy output tracking control for
a boost converter, IEEE Transactions on Industrial Electronics, 61(1) (2014), 196{209.

[11] P. Guan, X. J. Liu and J. Z. Liu, Adaptive fuzzy sliding mode control for
exible satellite,
Engineering Applications of Articial Intelligence, 18(4) (2005), 451{459.
[12] S. Hong and R. Langari, Robust fuzzy control of a magnetic bearing system subject to har-
monic disturbances, IEEE Transactions on Control Systems Technology, 8 (2) (2000), 366{
371.
[13] Z. Hongbing, P. Chengdong, K. Eguchi and G. Jinguang, Euclidean particle swarm opti-
mization, Second International Conference on Intelligent Networks and Intelligent Systems,
Tianjin (2009), 669{672.
[14] Y. J. Huang and H. K. Wei, Sliding mode control design for discrete multivariable systems
with time-delayed input signals, International Journal of Systems Science, 33(10) (2002),
789{798.
[15] L. Hung, H. Lin and H. Chung, Design of self-tuning fuzzy sliding mode control for TORA
system, Expert Systems with Applications, 32 (1) (2007), 201{212.
[16] E. Iglesias, Y. Garcia, M. Sanjuan, O. Camacho and C. Smith, Fuzzy surface-based sliding
mode control, ISA Transactions, 43(1) (2007), 73{83.
[17] A. Isidoti, Nonlinear Control Systems, Springer, Berlin, 1989.
[18] K. Jafar, B. M. Mohammad and K. Mansour, Feedback-linearization and fuzzy controllers
for trajectory tracking of wheeled mobile robots, Kybernetes, 39(1) (2010), 83{106.
[19] K. Jafar and B. M. Mohammad, From Nonlinear to Fuzzy Approaches in Trajectory Tracking
Control of Wheeled Mobile Robots, Asian Journal of Control, 14 (4) ( 2012), 960{973.
[20] A. Khosla, S. Kumar and K. R. Ghosh, A comparison of computational eorts between
particle swarm optimization and genetic algorithm for identication of fuzzy models, Fuzzy
Information Processing Society, (2007), 245{250.
[21] R. J. Lian, Adaptive self-organizing fuzzy sliding-mode radial basis-function neural-network
controller for robotic systems, IEEE Transactions on Industrial Electronics, 61(3) (2014),
1493{1503.
[22] C. Liang and J. P. Su, A new approach to the design of a fuzzy sliding mode controller, Fuzzy
Sets and Systems, 139(1) (2003), 111{124.
[23] Z. Liang, Y. Yang and Y. Zeng, Eliciting compact T-S fuzzy models using subtractive clus-
tering and coevolutionary particle swarm optimization, Neuro-computing, 72(10-12) (2009),
2569{2575.
[24] M. Mohamed, M. Anis, L. Majda, S. N. Ahmed and B. A. Ridha, Fuzzy discontinuous term
for a second order asymptotic dsmc: An experimental validation on a chemical reactor, Asian
Journal of Control, 13(3) (2010), 369{381.
[25] R. M. Nagarale and B. M. Patre, Decoupled neural fuzzy sliding mode control of nonlinear
systems, IEEE International Conference on Fuzzy Systems, (2013), 1{8.
[26] T. Niknam and B. Amiri, An ecient hybrid approach based on PSO, ACO and k-means for
cluster analysis, Applied Soft Computing, 10(1) (2010), 183{197.
[27] V. Panchal, K. Harish and K. Jagdeep, Comparative study of particle swarm optimization
based unsupervised clustering techniques, International Journal of Computer Science and
Network Security, 9(10) (2009), 132{140.
[28] K. Saji and K. Sasi, Fuzzy sliding mode control for a PH process, IEEE International Conference
on Communication Control and Computing Technologies, (2010), 276{281.
[29] A. Shahraz and R. B. Boozarjomehry, A fuzzy sliding mode control approach for nonlinear
chemical processes, Control Engineering Practice, 17(5) (2009), 541{550.
[30] S. F. Shehu, D. Filev and R. Langari, Fuzzy Control: Synthesis and Analysis, John Wiley
and Sons LTD, USA, 1997.
[31] L. Shieh, Y. Tsay and R. Yates, Some properties of matrix sign function derived from contin-
ued fractions, IEEE Proceedings of Control Theory and Applications, 130 (1983), 111{118.
[32] M. Singla, L. S. Shieh, G. Song, L. Xie and Y. Zhang, A new optimal sliding mode controller
design using scalar sign function, ISA Transactions, 53(2) (2014), 267{279.
[33] M. Soltani and A. Chaari, A PSO-Based fuzzy c-regression model applied to nonlinear data
modeling, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems,
23(6) (2015), 881{892.

[34] M. Sugeno and G. Kang, Fuzzy modeling and control of multilayer incinerator, Fuzzy Sets
and Systems, 18 (3) (1986), 329{345.
[35] T. Takagi and M. Sugeno, Fuzzy identication of systems and its application to modeling
and control, IEEE Transactions on Systems, Man and Cybernetics, 15(1) (1985 ), 116{132.
[36] K. Tanaka and M. Sugeno, Stability analysis and design of fuzzy control systems, Fuzzy Sets
and Systems, 45(2)(1992), 135{156.
[37] V. I. Utkin, Variable structure systems with sliding mode, IEEE Transactions on Automatic
Control, 26(2) (1977), 212{222.
[38] S. Vishnu Teja, T. N. Shanavas and S. K. Patnaik, Modied PSO based sliding-mode controller
parameters for buck converter, Conference on Electrical, Electronics and Computer Science
(SCEECS), (2012), 1{4.
[39] R. Wai, C. Lin and C. Hsu, Adaptive fuzzy sliding-mode control for electrical servo drive,
Fuzzy Sets and Systems, 143(2) (2004), 295{310.
[40] H. O. Wang, K. Tanaka and M. F. Grin, An approach to fuzzy control of nonlinear systems:
Stability and design issues, IEEE Transactions on Fuzzy Systems, 4(1) (1996), 14{23.
[41] H. O. Wang, K. Tanaka and M. F. Grin, Parallel distributed compensation of nonlinear
systems by Takagi-Sugeno fuzzy model, Proceedings FUZZY- IEEE/IFES, (1995), 531{538.
[42] G. O. Wang, K. Tanaka and T. Ikeda, Fuzzy modeling and control of chaotic systems, IEEE
Symposium Circuits and Systems, Atlanta, USA 3 (1996), 209{212.
[43] T. Wang, W. Xie and Y. Zhang, Sliding mode fault tolerant control dealing with modeling
uncertainties and actuator faults, ISA Transactions, 51(3) (2012), 386{392.
[44] J. Wu, M. Singla, C. Olmi, L. Shieh and G. Song, Digital controller design for absolute value
function constrained nonlinear systems via scalar sign function approach, ISA Transactions,
49(3) (2010), 302{310.
[45] Y. Xinghuo, Z. Man and B. Wu, Design of fuzzy sliding-mode control systems, Fuzzy Sets
and Systems, 95 (3) (1998), 295{306.
[46] F. K. Yeh and C. M. Chen, J. J. Huang, Fuzzy sliding-mode control for a MINI-UAV, IEEE
International Symposium on Computational Intelligence in Scheduling, (2010), 3317{3323.
[47] K. Young, V. I. Utkin and U. Ozguner, A control engineer's guide to sliding mode control,
IEEE Transactions on Control Systems Technology, 7(3) (1999), 328{342.
[48] Y. Zhang, D. Huang, M. Ji and F. Xie, Image segmentation using PSO and PCM with
mahalanobis distance, Expert Systems with Applications, 38(7) (2011), 9036{9040.