The Transactions of The Korean Institute of Electrical Engineers (전기학회논문지)

The Korean Institute of Electrical Engineers (대한전기학회)
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A New Augmented Lyapunov Functional Approach to Robust Delay-dependent Stability Analysis for Neutral Time-delay Systems

뉴트럴 시간지연 시스템의 강인 지연의존 안정성 해석을 위한 새로운 리아프노프 함수법

  • 권오민 (충북대학교 전기공학과)
  • Received : 2010.12.20
  • Accepted : 2011.01.24
  • Published : 2011.03.01
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Abstract

This paper propose a new delay-dependent stability criterion of neutral time-delay systems. By employing double-integral terms in augmented states and constructing a new Lyapunov-Krasovskii's functional, a delay-dependent stability criterion is established in terms of Linear Matrix Inequality. Through numerical examples, the validity and improvement results obtained by applying the proposed stability criterion will be shown.

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References

  1. J.P. Richard, "Time-delay systems: an overview for some recent advances and open problems", Automatica, vol.39, pp.1667-1694, 2003. https://doi.org/10.1016/S0005-1098(03)00167-5
  2. S.I. Niculescu, "Delay effects on stability: a robust approach", New York, Springer-Verg, 2002.
  3. P.G. Park, "A delay-dependent stability criterion for systems with uncertain time-invariant delays", IEEE Transactions on Automatic Control, vol.44, pp.876-877, 1999. https://doi.org/10.1109/9.754838
  4. E. Fridman and U. Shaked, "An improved stabilization method for linear time-delay systems", IEEE Transactions on Automatic control, vol.47, pp.1931-1937, 2002. https://doi.org/10.1109/TAC.2002.804462
  5. D. Yue, S. Won, and O. Kwon, "Delay dependent stability of neutral systems with time delay:" an LMI approach", IEE Proceedings-Control Theory and Applications, vol.150, pp.23-27, 2003. https://doi.org/10.1049/ip-cta:20030080
  6. S. Xu, and J. Lam, "Improved delay-dependent stability criteria for time-delay systems", IEEE Transactions on Automatic Control, vol.50, pp.384-387, 2004.
  7. T. Li, L. Guo, and C. Lin, "A new criterion of delay-dependent stability for uncertain time-delay systems", IET Control Theory and Applications, vol.1, pp.611-616, 2007. https://doi.org/10.1049/iet-cta:20060235
  8. J.H. Park and S. Won, "Asymptotic Stability of Neutral Systems with Multiple Delays," Journal of Optimization Theory and Applications, vol.103, pp.183-200, 1999. https://doi.org/10.1023/A:1021781602182
  9. P.G. Park and J.W. Ko, "Stability and robust stability for systems with a time-varying delay," Automatica, vol.43, pp.1855-1858, 2007. https://doi.org/10.1016/j.automatica.2007.02.022
  10. O.M. Kwon and Ju H. Park, "On Improved Delay-Dependent Robust Control for Uncertain Time-Delay Systems," IEEE Transactions on Automatic Control, vol.49, pp.1991-1995, 2004. https://doi.org/10.1109/TAC.2004.837563
  11. O.M. Kwon, Ju H. Park, and S.M. Lee, "On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays," Applied Mathematics and Computations, vol.197, pp.864-873, 2008. https://doi.org/10.1016/j.amc.2007.08.048
  12. M.N.A. Parlakci, "Extensively augmented Lyapunov functional approach for the stability of neutral time-delay systems," IET Control Theory and Applications, vol.2, pp.431-436, 2008. https://doi.org/10.1049/iet-cta:20070345
  13. J. Sun, G.P. Liu, and J. Chen, "Delay-dependent stability and stabilization of neutral time-delay systems", International Journal of Robust and Nonlinear Control, vol.19, pp.1364-1375, 2009. https://doi.org/10.1002/rnc.1384
  14. C.H. Lien, "Delay-dependent stability criteria for uncertain neutral systems with multiple time-varying delays via LMI approach", IEE Proceedings- Control Theory and Applications, vol.148, pp.442-447, 2005.
  15. D.Y. Chen, and C. Y. Jin, ""Delay-dependent stability criteria for a class of uncertain neutral systems", Acta Automatic Sinica, vol.34, pp.989-992, 2008. https://doi.org/10.1016/S1874-1029(08)60049-X
  16. Y. He, Q.G. Wang, C. Lin, and M. Wu, "Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems", International Journal of Robust and Nonlinear Control, vol.15, pp.923-33, 2005. https://doi.org/10.1002/rnc.1039
  17. M.N.A. Parlakci, "Robust stability of uncertain neutral systems: a novel augmented Lyapunov functional approach", IET Control Theory and Applications, vol.1, pp.802-809, 2007. https://doi.org/10.1049/iet-cta:20050517
  18. S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, Philadelphia, SIAM, 1994.
  19. M.C. de Oliveira, "Investigating duality on stability conditions," Systems and Control Letters, vol.52, pp.1-6, 2004. https://doi.org/10.1016/j.sysconle.2003.09.011
  20. K. Gu, "A further refinement of discretized Lyapunov functional method for the stability of time-delay systems," International Journal of Control, vol.74, pp.967-976, 2001. https://doi.org/10.1080/00207170110047190