Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Archives of Control Sciences

The Journal of Polish Academy of Sciences

4 Issues per year


IMPACT FACTOR 2016: 0.705

CiteScore 2016: 3.11

SCImago Journal Rank (SJR) 2016: 0.231
Source Normalized Impact per Paper (SNIP) 2016: 0.565

Open Access
Online
ISSN
2300-2611
See all formats and pricing
More options …

An exponential observer and a controller for a class of nonlinear systems

Mohamed Ali Hammami
  • Corresponding author
  • Faculty of Sciences of Sfax, Department of Mathematics, Rte Soukra, B.P. 1171 Sfax 3000, Tunisia and University of Kuwait Electrical Engineering Department, Box 5969 Safat 13060, Kuwait
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Mohamed Zribi
  • Faculty of Sciences of Sfax, Department of Mathematics, Rte Soukra, B.P. 1171 Sfax 3000, Tunisia and University of Kuwait Electrical Engineering Department, Box 5969 Safat 13060, Kuwait
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Jalel Kallel
  • Faculty of Sciences of Sfax, Department of Mathematics, Rte Soukra, B.P. 1171 Sfax 3000, Tunisia and University of Kuwait Electrical Engineering Department, Box 5969 Safat 13060, Kuwait
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2013-05-04 | DOI: https://doi.org/10.2478/v10170-011-0043-x

Abstract

In this paper, we study the observer design problem for a class of nonlinear systems. Specifically, we design an exponential observer for a separately excited DC motor. Moreover, a stabilizing controller is designed for the system to ensure the exponential stability of the solutions toward their desired values. Simulations results show that proposed observer is able to reconstruct the states of the system. In addition, the simulation results indicate that the designed controller works well

Keywords: nonlinear system; observer; stability; controller; stabilization

  • [1] F.E. THAU: Observing the state of non-linear dynamic systems. Int. Journal ofControl, 18 (1973), 471-479.Google Scholar

  • [2] S.R. KOU, D.L. ELLIOT and T.J. TARN: Exponential observer for nonlinear dynamic systems. Inform. Control, 29 (1975), 204-216.CrossrefGoogle Scholar

  • [3] R. RAJAMANI: Observers for Lipschitz nonlinear systems. IEEE Trans. on AutomaticControl, 43(3), (1998), 397-401.Google Scholar

  • [4] M.A. HAMMAMI: Global convergence of a control system by means of an observer. J. of Optimization Theory and Applications, 108(2), (2001), 377-388.Google Scholar

  • [5] M.A. HAMMAMI: Global stabilization of a certain class of dynamical systems using state detection. Applied Mathematics Letters, 14 (2001), 913-919.CrossrefGoogle Scholar

  • [6] J.P. GAUTHIER, H. HAMMOURI and S. OTHMAN: A simple observer for nonlinear system applications to bioreactors. IEEE Trans. on Automatic Control, 37(6), (1992), 875-880.Google Scholar

  • [7] W. MITKOWSKI and J. BARANOWSKI: Observer design for series DC motor multi output approach. Int. Conf. Fund. Elect. Circuit Theory, IC-SPETO, (2007).Google Scholar

  • [8] M. ZRIBI and A. AL-ZAMEL: Field-Weakening control of a separately excited DC motor. Mathematical Problems in Engineering, ID 58410 (2007).Google Scholar

  • [9] M. ZRIBI and M. ALRIFAI: Robust controllers for variable reluctance motors. Math. Probl. Eng, 2 (2005), 195-214.CrossrefGoogle Scholar

  • [10] M. CORLESS and G. LEITMANN: Bounded controllers for robust exponential convergence. J. Optim. Theory Appl, 76(1), (1993), 1-12.Google Scholar

  • [11] M. CORLESS, F. GAROFALO and G. LEITMANN: Guaranteeing ultimate boundedness and exponential rate of convergence for a class of uncertain systems. Robustnessin Identification and Control, Appl. Inform. Tech., Plenum, New York, (1989), 293-301.Google Scholar

  • [12] H. KHALIL. Nonlinear Systems. Prentice Hall, New Jersy, 3rd edition, 2002.Google Scholar

About the article

Published Online: 2013-05-04

Published in Print: 2013-03-01


Citation Information: Archives of Control Sciences, Volume 23, Issue 1, Pages 79–92, ISSN (Print) 1230-2384, DOI: https://doi.org/10.2478/v10170-011-0043-x.

Export Citation

This content is open access.

Comments (0)

Please log in or register to comment.
Log in