CFP last date
20 May 2024
Call for Paper
June Edition
IJCA solicits high quality original research papers for the upcoming June edition of the journal. The last date of research paper submission is 20 May 2024

Submit your paper
Know more
Reseach Article

Decoupled Sliding Mode Control for a Multivariable Nonlinear System

by Fayez G. Areed, Mohamed A. Badr, Sabry F. Saraya, Mohammed S. Elksasy, Mohamed M. Abdelsalam
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 55 - Number 6
Year of Publication: 2012
Authors: Fayez G. Areed, Mohamed A. Badr, Sabry F. Saraya, Mohammed S. Elksasy, Mohamed M. Abdelsalam
10.5120/8760-2674

Fayez G. Areed, Mohamed A. Badr, Sabry F. Saraya, Mohammed S. Elksasy, Mohamed M. Abdelsalam . Decoupled Sliding Mode Control for a Multivariable Nonlinear System. International Journal of Computer Applications. 55, 6 ( October 2012), 25-32. DOI=10.5120/8760-2674

@article{ 10.5120/8760-2674,
author = { Fayez G. Areed, Mohamed A. Badr, Sabry F. Saraya, Mohammed S. Elksasy, Mohamed M. Abdelsalam },
title = { Decoupled Sliding Mode Control for a Multivariable Nonlinear System },
journal = { International Journal of Computer Applications },
issue_date = { October 2012 },
volume = { 55 },
number = { 6 },
month = { October },
year = { 2012 },
issn = { 0975-8887 },
pages = { 25-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume55/number6/8760-2674/ },
doi = { 10.5120/8760-2674 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:56:34.604575+05:30
%A Fayez G. Areed
%A Mohamed A. Badr
%A Sabry F. Saraya
%A Mohammed S. Elksasy
%A Mohamed M. Abdelsalam
%T Decoupled Sliding Mode Control for a Multivariable Nonlinear System
%J International Journal of Computer Applications
%@ 0975-8887
%V 55
%N 6
%P 25-32
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a decoupled control strategy using time-varying sliding surface-based Sliding Mode Controller (SMC) for a multivariable nonlinear system as an Ammonia Reactor system. The decoupled method provides a simple way to achieve asymptotic stability by dividing the system into three subsystems. Simulation results are presented for SMC comparing with a traditional PID controller. Then , the system is subjected to temperature disturbance to demonstrate the effectiveness and robustness of the controller.

References
  1. L. Hung and H. Chung, "Decoupled sliding-mode with fuzzy-neural network controller for nonlinear systems" International Journal of Approximate Reasoning 46 (2007) 74–97.
  2. V. I. Utkin, "Variable structure systems with sliding mode": A survey, IEEE Transaction on Automatic Control 22 (1977) 212–222.
  3. M. Chan, C. Tao and T. Lee, "Sliding mode controller for linear systems with mismatched time-varying uncertainties", Journal Franklin Inst. 337 (2) (2000) 105–115.
  4. M. Falahpoor, M. Ataei and A. Kiyoumarsi, " A chattering-free sliding mode control design for uncertain chaotic systems", Chaos Solitons and Fractals 42 (2009) 1755–1765 .
  5. G. Bartolini , E. Punta and T. Zolezzi, " Simplex sliding mode methods for the chattering reduction control of multi-input nonlinear uncertain systems", Automatica 45 (2009) 1923-1928.
  6. D. Khadija, L. Majda and N. Said, "New Discrete Sliding Mode Control for Nonlinear Multivariable Systems: Multi-Periodic Disturbances Rejection and Stability Analysis ", International Journal of Control Science and Engineering 2(2) (2012) 7-15.
  7. S. Frikha, M. Djemel and N. Derbel, "Adaptive Neuro-Sliding Mode Control for Multivariable Nonlinear Systems with State Observer", International Journal of Computational Cognition 8( 2) (2010) 9-16.
  8. L. Hsu, R. Costa, and J. Paulo, "Model-Reference Output-Feedback Sliding Mode Controller for A Class of Multivariable Nonlinear Systems", Asian Journal of Control 5 (4) (2003) 543-556.
  9. K. Kim and Y. Park, " Parametric Approaches to Sliding Mode Design for Linear Multivariable System", International Journal of Control, Automation and System 1 (1) (2003) 11-18.
  10. O. Boubaker, J. babary and M. Ksouri, " MIMO Sliding Mode Control of a Distributed Parameter Denitrifying Biofilter", Applied Mathematical Modeling 25 (2001) 671-682.
  11. T. Wua, J. Wangb and Y. Juang ,"Decoupled integral variable structure control for MIMO systems", Journal of the Franklin Institute 344 (2007) 1006–1020.
  12. F. Yorgancioglu and H. Komurcugil," Decoupled sliding-mode controller based on time-varying sliding surfaces for fourth-order systems", Expert Systems with Applications 37 (2010) 6764–6774.
  13. D. Khadija, L. Majda and N. Said, "New Discrete Sliding Mode Control for Nonlinear Multivariable Systems: Multi-Periodic Disturbances Rejection and Stability Analysis ", International Journal of Control Science and Engineering 2(2) (2012) 7-15.
  14. J. Morud and S. Skogestad, " Analysis of Instability in an Industrial Ammonia Reactor", AIChE Journal 44 (4) (1998) 888- 895.
  15. R. Angira, "Simulation and Optimization of an Auto-Thermal Ammonia Synthesis Reactor", International Journal of Chemical Reactor Engineering 9 (A7) (2011), ISSN 1542-6580, The Berkeley Electronic Press.
  16. A. Murase, H. Roberts and A. Converse, "Optimal Thermal Design of an Auto thermal Ammonia Synthesis Reactor", Industrial & Engineering Chemistry Process Design Development, 9(4) (1970), pp. 503- 513.
  17. C. Singh and D. Saraf, "Simulation of Ammonia Synthesis Reactors", Industrial & Engineering Chemistry Process Design Development,18(3) (1979), pp. 364-370.
  18. R. Baddour, P. Brian, B. Logeais and J. Eymery, "Steady-state simulation of an ammonia synthesis converter", Chemical Engineering Science, 20 (1965), pp. 281-292.
  19. T. Mohammad . and K. Azam , "The Optimization of an Ammonia Synthesis Reactor Using Genetic Algorithm", International Journal of Chemical Reactor Engineering 6 (A113) (2008), ISSN 1542-6580, The Berkeley Electronic Press.
Index Terms

Computer Science
Information Sciences

Keywords

Sliding Mode Controller Ammonia Reactor Decoupled system PID controller