Table of Contents Author Guidelines Submit a Manuscript
Journal of Control Science and Engineering
Volume 2011, Article ID 970962, 8 pages
Research Article

Robust Stability of a Class of Unstable Systems under Mixed Uncertainty

1Electrial Engineering Department, Engineering Faculty, Isra University, Amman, Jordan
2Computer Engineering Department, IUST University, Daraa, Syria

Received 9 April 2011; Accepted 16 September 2011

Academic Editor: L. Z. Yu

Copyright © 2011 Rami A. Maher and Raghad Samir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P. C. Chandraskaran, Robust Control of Linear Dynamic systems, Academic Press, San Diego, Calif, USA, 1996.
  2. V. L. Kharitonov, “Asymptotic stability of an equilibrium position of a family of systems of linear differential equation,” Differential'nye Uravneniya, vol. 14, pp. 2086–2088, 1978. View at Google Scholar
  3. H. Chapellat and S. P. Bhattacharyya, “Generalization of Kharitonov's theorem: robust stability of interval plants,” IEEE Transactions on Automatic Control, vol. 34, no. 3, pp. 306–311, 1989. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. S. P. Bhattacharyya and H. Chapelt, Robust Control: A Parametric Approach, Prentice Hall, 1995.
  5. R. Samir, Design of an Optimal Controller for Guided Missile with Non-linearity, M.S. thesis, University of Technology-Baghdad, 2003.
  6. T. Meressi, D. Chen, and B. Paden, “Application of Kharitonov's theorem to mechanical systems,” IEEE Transactions on Automatic Control, vol. 38, no. 3, pp. 488–491, 1993. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. C. C. Tsui, Robust Control System Design: Advanced State Space Techniques, Marcel Dekker, 2002.
  8. F. Lin, Robust Control Design an Optimal Control Approach, chapter 7, John Wiley & Sons, New York, NY, USA, 2007.
  9. J. Dolye, B. Francis, and A. Tannenbaum, Feedback Control Theory, Macmillan, 1990.
  10. H. Kimura, “Robust stabilizability for a class of transfer functions,” IEEE Transactions on Automatic Control, vol. 29, no. 9, pp. 788–793, 1984. View at Google Scholar · View at Scopus
  11. F. B. Yeh, C. C. Lin, and H. N. Huang, “Parametric Nevanlinna-Pick interpolation theory,” Proceedings of the National Science Council, Republic of China, Part A, vol. 22, no. 6, pp. 723–733, 1998. View at Google Scholar · View at Scopus
  12. R. Samir, Robust Stability Analysis and Synthesis Based on Kharitonov's theory, Ph.D. thesis, University of Technology-Baghdad, 2007.