IEMEK Journal of Embedded Systems and Applications (대한임베디드공학회논문지)

Institute of Embedded Engineering of Korea (대한임베디드공학회)
권호 표지

Robust Delay-dependent Stability Criterion for Uncertain Networked Control System

불확실성이 존재하는 네트워크 제어시스템의 강인 지연의존 안정성 판별법

  • 박명진 (충북대학교 전기공학과) ;
  • 권오민 (충북대학교 전기공학과) ;
  • 박주현 (영남대학교 전기공학과)
  • Received : 2009.04.10
  • Accepted : 2009.06.08
  • Published : 2009.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, the problem of stability analysis for networked control systems with norm-bounded parameter uncertainties is investigated. By construction Lyapunov's functional, a new delay-dependent stability criterion for uncertain networked control system is established in terms of LMIs (linear matrix inequalities) which can be easily by various convex optimization algorithms. One numerical example is included to show the effectiveness of proposed criterion.

Keywords

References

  1. W. Zhang, M. S. Branicky, and S. M. Phillips, "Stability of networked control systems," IEEE Control System Magazine, Vol. 21, pp. 84-99, Feb. 2001. https://doi.org/10.1109/37.898794
  2. G. C. Walsh and H. Ye, "Scheduling of networked control systems," IEEE Control System Magazine, Vol 21. pp. 57-65, Feb. 2001. https://doi.org/10.1109/37.898792
  3. V.B. Kolmanovskii and A. Myshkis, Applied theory of functional differential equations, KIuwer Academic Publishers, Boston, 1992.
  4. J. Hale and S.M.V. Lunel, Introduction to functional differentail equations, Springer-Verlag, New York, 1993.
  5. S.-I. Niculescu, Delay effects on stability: a robust control approach LNCIS 269, Springer, 2001.
  6. J. Yoneyama, "Robust stability and stabilizing controller design of fuzzy systems with discrete and distributed delays," Information Sciences, Vol. 178, pp. 1935-1947, 2008. https://doi.org/10.1016/j.ins.2007.11.022
  7. S. Xu and J. Lam, "Improved delay-dependent stability criteria for time-delay systems," IEEE Transactions on Automatic Control, Vol. 50, pp. 384-387, 2005. https://doi.org/10.1109/TAC.2005.843873
  8. C.H. Lien, "Delay-dependent stability criteria for uncertain neutral systems with multiple time-varying delays via LMI approach," lEE Proceedings, Control Theory Application, Vol. 152, pp. 707-714, 2005. https://doi.org/10.1049/ip-cta:20045124
  9. D. S. Kim, Y.S. Lee, W.H. Kwon and H.S. Park, "Maximum allowable delay bounds of networked control systems," Control Engineering Practice, Vol. 11, pp. 1301-1313, 2003. https://doi.org/10.1016/S0967-0661(02)00238-1
  10. D. Yue, Q.-L. Han and J. Lam, "Network-based robust H control of systems with uncertainty," Automatica, Vol. 41, pp. 999-1007, 2005. https://doi.org/10.1016/j.automatica.2004.12.011
  11. X. Jiang and Q.-L. Han, "New stability criteria for linear systems with interval time-varying delay," Automatica, Vol. 44, pp. 2680-2685, 2008. https://doi.org/10.1016/j.automatica.2008.02.020
  12. S. Boyd, L. El. Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequality in system and control theory, SIAM, Philadelphia, 1994.