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Observer Design for Systems with Time-delayed States 被引量：1

Observer Design for Systems with Time-delayed States
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摘要 Recently, the conditions of observers that can estimate directly Kx（t） for an arbitrarily given K, and that are free of the effect of time delayed states of the system, are formulated. This paper points out that, because of the equivalence in formulation, the existing conditions for unknown input observers can be used to establish directly a new set of sufficient conditions for that recent observer. This new set of sufficient conditions is much simpler, and therefore much more useful and significant, than the sufficient conditions derived in that recent paper. This new set of sufficient conditions also reveals some basic mistakes of that recent paper. In addition, this paper reveals the severe restrictiveness of this new set of conditions and proposes a fundamentally new observer design formulation that can relax that set of conditions significantly. Recently, the conditions of observers that can estimate directly Kx（t） for an arbitrarily given K, and that are free of the effect of time delayed states of the system, are formulated. This paper points out that, because of the equivalence in formulation, the existing conditions for unknown input observers can be used to establish directly a new set of sufficient conditions for that recent observer. This new set of sufficient conditions is much simpler, and therefore much more useful and significant, than the sufficient conditions derived in that recent paper. This new set of sufficient conditions also reveals some basic mistakes of that recent paper. In addition, this paper reveals the severe restrictiveness of this new set of conditions and proposes a fundamentally new observer design formulation that can relax that set of conditions significantly.
作者 Chia-Chi Tsui
机构地区 [
出处 《International Journal of Automation and computing》 EI 2012年第1期105-107,共3页 国际自动化与计算杂志（英文版）
关键词 Observers TIME-DELAY unknown inputs sufficient conditions ROBUSTNESS Observers, time-delay, unknown inputs, sufficient conditions, robustness
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献7

  • 1H.M.Trinh,P.S.Teh,T.L.Fernando.Time-delay systems:Design of delay-free and low-order observers.IEEE Transactions on Automatic Control,vol.55,no.10,pp.2434-2438,2010.
  • 2P.Kudva,N.Viswanadham,A.Ramakrishna.Observers for linear systems with unknown inputs.IEEE Transactions on Automatic Control,vol.25,no.1,pp.113-115,1980.
  • 3C.C.Tsui.A new design approach of unknown input observers.IEEE Transactions on Automatic Control,vol.41,no.3,pp.464-468,1996.
  • 4C.C.Tsui.Robust Control System Design,Advanced State Space Techniques,Taylor & Francis,2nd ed.,2004.
  • 5M.Hou,P.C.Muller.Design of observers for linear systems with unknown inputs.IEEE Transactions on Automatic Control,vol.37,no.6,pp.871-875,1992.
  • 6C.C.Tsui.An overview of the applications and solutions of a fundamental matrix equation pair.Journal of the Franklin Institute,vol.341,no.6,pp.465-475,2004.
  • 7E.J.Davison,S.H.Wang.Properties and calculation of transmission zeros of linear multivariable systems.Automatica,vol.10,no.6,pp.643-658,1974.

同被引文献12

  • 1Luenberger D G. An introduction to observers[J]. IEEE Transactions on Automatic Control, 1971, 16(6) : 596-602.
  • 2Tsui C C. A complete analytical solution to the equation TA-- FT= LC and its applications[J]. IEEE Transactions on Automatic Control, 1987, 32 (8): 742-744.
  • 3Tsui CC. On the solution to matrix equation TA-- FT=LC and its applications [J]. SIAM Journal on Matrix Analysis, 1993, 14(1) : 33-44.
  • 4Tsui C C. What is the minimum function observer order? [J]. Journal of Franklin Institute, 1998, 335(4) : 623-628.
  • 5Tsui C C. What is the minimum function observer order? [C]// Proceedings of the 3rd World Congress on Intelligent Control and Automation. Hefei, China.. IEEE Press, 2000:2 811-2 816.
  • 6Tsui C C. What is the minimum function observer order? [C]// Proceedings of European Control Conference. Cambridge, UK, 2003.
  • 7[ Tsui C C. A new algorithm for the design of multi- functional observers[J]. IEEE Transactions on Automatic Control, 1985, 30(5).. 89-93.
  • 8Tsui C C. On the order reduction of linear function observers [J]. IEEE Transactions on Automatic Control, 1986, 31(5): 447-449.
  • 9Fernando T L, Trinh H M, Jennings L. Functional observability and the design of minimum order linear functional observers [J]. IEEE Transactions on Automatic Control, 2010, 55(5):1 269-1 273.
  • 10Kaileth T. Linear Systems [M]. NJ.. Prentice-Hall, Englewood Cliffs, 1980.

引证文献1

International Journal of Automation and computing
2012年 第1期

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