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On the existence of Luenberger reduced order observer

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Języki publikacji
EN
Abstrakty
EN
In this paper the explicit necessary and sufficient conditions for the existence of Luenberger reduced order observer are established. In particular, it is proven that for the given linear time-invariant system of order n, having p linearly independent out- puts and m inputs, a Luenberger observer of order (n − p) can be constructed if and only if the given system is detectable. Further- more, a procedure is given for the construction of the observer. Our approach is based on the properties of real and polynomial matrices.
Rocznik
Strony
181--198
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
  • Hellenic Air Force Academy, Department of Aeronautical Sciences, Division of Automatic Control, Dekelia Air Base PC 13671, Acharnes, Attikis, Tatoi, Greece
Bibliografia
  • KALMAN, R. E. (1963) Mathematical description of linear dynamical systems. SIAM Journal of Control and Optimization 1 (2), 152-192.
  • KUCERA, V. (1991) Analysis and Design of Linear Control Systems. Prentice Hall, London.
  • LUENBERGER, D. G. (1963) Determining the state of a linear system with observers of low dynamic order. PhD Dissertation, Stanford University.
  • LUENBERGER, D. G. (1964) Observing the state of a linear system. IEEE Transactions Military Electronics, 8 (2), 74-80.
  • LUENBERGER, D. G. (1966) Observers for multivariable systems. IEEE Transactions on Automatic Control, 11 (2), 90-197.
  • LUENBERGER, D. G. (1971) An Introduction to Observers. IEEE Transanctions on Automatic Control, 16 (6), 596-602.
  • Mc DUFFEE, C. C. (1946) The Theory of Matrices. Chelsea Publishing.
  • SHAFAI, B. and SAIF, M. (2015) Proportional-integral observer in robust control, fault detection and decentralized control of dynamic systems. In: Aly El-Osery and Jeff Prevost, eds., Control and Systems Engineering. Springer, Cham, 13-43.
  • TREDELMAN, H. L., STOORVOGEL, A. A. and HAUTUS, M. (2001) Control Theory for Linear Systems. Springer-Verlag, London.
  • TRINH, H. and FERNANDO, T. (2012) Functional Observers for Dynamical Systems. Springer Verlag, Heidelberg.
  • WOLOWICH, W. A. (1974) Linear Multivariable Systems. Springer Verlag, Berlin, New York.
  • WONHAM, W. M. (1968) On a matrix Riccati equation of stochastic control. SIAM Journal of Control and Optimization 6 (4), 681-698.
  • ZHOU, K., DOYLE, J. C. and GLOVER, K. (1996) Robust and Optimal Control. Prentice-Hall, New Jersey.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0ef965ea-9b42-400a-a0bb-b362c51035f4
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