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Parametric approach for Luenberger observers for descriptor linear systems

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EN
Abstrakty
EN
A complete parametric approach is proposed for the design of the Luenberger type function Kx observers for descriptor linear systems. Based on a complete parametric solution to a class of generalized Sylvester matrix equations, parametric expressions for all the coefficient matrices of the observer are derived. The approach provides all the degrees of design free-dom, which ran be utilized to achieve same additional design requirements. An illustrative example shows the effect of the proposed approach.
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  • The Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P.O. 416, Harbin, 150001, P.R. China, Ag.wu@163.com
Bibliografia
  • [1] D.G. Luenberger. "An introduction to observers", JEEE Trans. on Automatic control 16, 596-602 (1971).
  • [2] G.R Duan and RJ. Patton, "Robust fault detection using Luenberger-type unknown input observers - a parametric approach", Int. J. Systems Science 32, 533-540 (2001).
  • [3] C.C. Tsui, "What is the minimum function observer order?" J. Franklin Inst 335B, 623-628 (1998).
  • [4] P.C. Muller and M. Hou, "On the observer design for descriptor systems", Proc. 30th Conf. on Decision and Control, England, 1960-1961 (1991).
  • [5] T. Kaczorek and M. Slawinski, "Functional observers for singular linear systems", 7th JEEE Int. Conf. "Methods and Models in Automation and Robotics", Miedzyzdroje, Poland, 125-130 (2001).
  • [6] T. Kaczorek, "A novel approach to design of minimal order functional observers for singular linear systems", Bull Pol. Ac.: Tech. 51 (2) 181-188 (2003).
  • [7] V. Syrmos, "Observer design for descriptor systems with unmeasurable disturbances", Proc. 31th Conf. on Decision and Control, Tucson, Arizona, 981-982 (1992).
  • [8] S. Kawaji and K. Sawada, "Observer design for linear descriptor systems with unknown inputs", JEGON'91 2285-2288 (1991).
  • [9] E. EL-Tohami, L. Nagy, and R Mukundan, "On the design of observers for generalized state space systems using singular value decompotision", Int. J. Contr. 38, 673-683 (1983).
  • [10] S. Kawaji and H. Seong Kim, "Full order observer for linear descriptor systems with unknown-inputs", Proc. 34th Conf. on Decision and Control, Orleans, 2366-2368 (1995).
  • [11] G.R. Duan, "Solution to matrix equation AV + BW = EV F and eigenstructure assignment for descriptor systems", Automatic 28, 639-643 (1992).
  • [12] G.R. Duan, "Eigenstructure assignment and response analysis in descriptor linear systems with state feedback control", Int. J. Control 69, 663-694 (1998).
  • [13] G.R. Duan and RJ. Patton, "Eigenstructure assignment in descriptor systems via state feedback - a new complete parametric approach", Int. J. Systems Science 29, 167-178 (1998).
  • [14] G.R. Duan, "Parametric eigenstructure assignment via output feedback based on singular value decompositions", JEE Proc. Control Theory and Applications 150, 93-100, (2003).
  • [15] G.R. Duan, "Eigenstructure assignment in descriptor linear systems via output feedback", Int. J. Control 72, 345-364 (1999).
  • [16] G.R. Duan and R.J. Patton, "Eigenstructure assignment in descriptor systems via proportional plus derivative state feedback", Int. J. Control 68,1147-1162 (1997).
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Bibliografia
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bwmeta1.element.baztech-article-BPG5-0021-0008
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