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불확실성이 존재하는 네트워크 제어시스템의 강인 지연의존 안정성 판별법

Robust Delay-dependent Stability Criterion for Uncertain Networked Control System

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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.

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.

참고문헌 (12)

  1. W. Zhang, "Stability of networked control systems", IEEE Control System Magazine, 21, pp.84~99 (2001)
  2. G. C. Walsh, "Scheduling of networked control systems", IEEE Control System Magazine, 21, pp.57~65 (2001)
  3. V.B. Kolmanovskii, "Applied theory of functional differential equations" (1992), Kluwer Academic Publishers
  4. J. Hale, "Introduction to functional differentail equations" (1993), Springer-Verlag
  5. S.-I. Niculescu, "Delay effects on stability: a robust control approach LNCIS 269" (2001), Springer
  6. J.Yoneyama, "Robust stability and stabilizing controller design of fuzzy systems with discrete and distributed delays", Information Sciences, 178, pp.1935~1947 (2008)
  7. S. Xu, "Improved delay-dependent stability criteria for time-delay systems", IEEE Transactions on Automatic Control, 50, pp.384~387 (2005)
  8. C.H.Lien, "Delay-dependent stability criteria for uncertain neutral systems with multiple time-varying delays via LMI approach", IEE Proceedings, Control Theory Application, 152, pp.707~714 (2005)
  9. . S. Kim, "Maximum allowable delay bounds of networked control systems", Control Engineering Practice, 11, pp.1301~1313 (2003)
  10. D. Yue, "Network-based robust control of systems with uncertainty", Automatica, 41, pp.999~1007 (2005)
  11. X. Jiang, "New stability criteria for linear systems with interval time-varying delay", Automatica, 44, pp.2680~2685 (2008)
  12. S. Boyd, "Linear matrix inequality in system and control theory", SIAM (1994)

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