CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
SFLA-Based Line Balancing and Task Optimization in Master-Slave Controlled Hanger Transportation Systems for Garment Production

Duc Hoang Nguyen
Random Articles
Reseach Article

Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems

by Ghazi Bel Haj Frej, Assem Thabet, Mohamed Boutayeb, Mohamed Aoun
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 137 - Number 14
Year of Publication: 2016
Authors: Ghazi Bel Haj Frej, Assem Thabet, Mohamed Boutayeb, Mohamed Aoun
10.5120/ijca2016909036

Ghazi Bel Haj Frej, Assem Thabet, Mohamed Boutayeb, Mohamed Aoun . Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems. International Journal of Computer Applications. 137, 14 ( March 2016), 1-7. DOI=10.5120/ijca2016909036

@article{ 10.5120/ijca2016909036,
author = { Ghazi Bel Haj Frej, Assem Thabet, Mohamed Boutayeb, Mohamed Aoun },
title = { Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems },
journal = { International Journal of Computer Applications },
issue_date = { March 2016 },
volume = { 137 },
number = { 14 },
month = { March },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume137/number14/24445-2016909036/ },
doi = { 10.5120/ijca2016909036 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:38:20.948305+05:30
%A Ghazi Bel Haj Frej
%A Assem Thabet
%A Mohamed Boutayeb
%A Mohamed Aoun
%T Decentralized Observers for Optimal Stabilization of Large Class of Nonlinear Interconnected Systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 137
%N 14
%P 1-7
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper focuses on the design of decentralized state observers based on optimal guaranteed cost control for a class of systems which are composed of linear subsystems coupled by nonlinear time-varying interconnections. One of the main contributions lies in the use of the differential mean value theorem (DMVT) to simplify the design of estimation and control matrices gains. This has the advantage of introducing a general condition on the nonlinear time-varying interconnections functions. To ensure asymptotic stability, sufficient conditions expressed in terms of linear matrix inequalities (LMIs) are established to compute the control and the observation gains of the overall system. High performances are shown through numerical simulation of a power system with three interconnected machines.

References
  1. M. Benallouch, M. Boutayeb, and M. Zasadzinski. Observers design for one-sided lipschitz discrete-time systems. Syst. Control Letters, 61:879–886, 2012.
  2. S. Boyd, L. El Ghaoui, E. Ferron, and V. Balakrishnan. Linear matrix inequalities in systems and control theory. Studies in Applied Mathematics SIAM, Philadelphia, 15 edition, 1994.
  3. S. Elloumi and E. B. Braiek. Robust decentralized control for multimachine power systemsthe lmi approach. In IEEE Proc. Conf. on Decision and Control, page vol. 6, IEEE International Conference on Systems, Man and Cybernetics, 2006.
  4. Y. Wang G. Guo and D. J. Hill. Nonlinear decentralized control of large-scale power systems. Autmatica, 36:1275–1289, 2000.
  5. D.W.C. Ho and G. Lu. Robust stabilization for a class of discrete-time nonlinear systems via output feedback: The unified lmi approach. Int. J. of Control, 76:105–115, 2003.
  6. H. Hu and D. Zhao. Decentralized H∞ control for uncertain interconnected systems of neutral type via dynamic output feedback. Abstract and Applied Analysis, 2014:1–11, 2014.
  7. C. Hua, L. Zhang, and X. Guan. Decentralized output feedback controller design for nonlinear interconnected systems with unknown control direction and time-varying delays. Int. J. of Adaptive Control and Signal Processing, 28:1160–1173, 2014.
  8. Y. Liu and X.Y. Li. Decentralized robust adaptive control of nonlinear systems with unmodeled dynamics. IEEE Trans. on Autom. Control, 47:848–856, 2002.
  9. X. Mao, W. Liu, L. Hu, Q. Luo, and J. Lu. Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations. Syst. Control Letters, 73:88–95, 2014.
  10. D.D. Siljak and D. Stipanovic. Robust stabilization of nonlinear systems. Math. Probl. Eng., 6:461–493, 2000.
  11. D.D. Siljak and A.I. Zecevic. Control of large-scale systems: Beyond decentralized feedback. Annual Rev. in Control, 29:169–179, 2005.
  12. S.S. Stankovic and D.D. Siljak. Robust stabilization of nonlinear interconnected systems by decentralized dynamic output feedback. Syst. Control Letters, 58:271–275, 2009.
  13. S.S. Stankovic, D.M. Stipanovic, and D.D. Siljak. Decentralized dynamic output feedback for robust stabilization of a class of nonlinear interconnected systems. Autmatica, 43:861–867, 2007.
  14. A. Thabet, M. Boutayeb, and M.N. Abdelkrim. Real time dynamic state estimation for power system. Int J. of Computer Applications, 38-2:11–18, 2012.
  15. A.S. Tlili and N.B. Braiek. Decentralized observer based guaranteed cost control for nonlinear interconnected systems. Int J. of Control Automation, 2:29–45, 2009.
  16. Y. Wang, D.J. Hill, and G. Guo. Robust decentralized control for multimachine power systems. IEEE Trans. on Cir. and Syst., 45(3):271–279, 1998.
  17. X.G. Yan, C. Edwards, and S.K. Spurgeon. Decentralized robust sliding mode control for a class of nonlinear interconnected systems by static output feedback. Autmatica, 40:113– 120, 2004.
  18. G.H. Yang, J.L.Wang, and Y.C. Soh. Reliable guaranteed cost control for uncertain nonlinear systems. IEEE Trans. on Autom. Control, 45:2188–3192, 2000.
  19. A.I. Zecevic and D.D. Siljak. Estimating the region of attraction for large-scale systems with uncertainties. Autmatica, 46:445–451, 2010.
  20. A. Zemouch and M. Boutayeb. A unified H1 adaptive observer synthesis method for a class of systems with both lipschitz and monotone nonlinearities. Syst. Control Letters, 58:282–288, 2009.
  21. A. Zemouch, M. Boutayeb, and G.I. Bara. Observers for a class of lipschitz systems with extension to H1 performance analysis. Syst. Control Letters, 57:18–27, 2008.
  22. Y. Zhu and P.R. Pagilla. Decentralized output feedback control of a class of large-scale interconnected systems. J. of Mathematical Control and Information, 24:57–69, 2007.
Index Terms

Computer Science
Information Sciences

Keywords

Large Scale System Interconnected System Decentralized Observer Feedback Control

Powered by PhDFocusTM