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2005 | 15 | 3 | 331-338
Tytuł artykułu

An observability problem for a class of uncertain-parameter linear dynamic systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An observability problem for a class of linear, uncertain-parameter, time-invariant dynamic SISO systems is discussed. The class of systems under consideration is described by a finite dimensional state-space equation with an interval diagonal state matrix, known control and output matrices and a two-dimensional uncertain parameter space. For the system considered a simple geometric interpretation of the system spectrum can be given. The geometric interpretation of the system spectrum is the base for defining observability and non-observability areas for the discussed system. The duality principle allows us to test observablity using controllability criteria. For the uncertain-parameter system considered, some controllability criteria presented in the author's previous papers are used. The results are illustrated with numerical examples.
Rocznik
Tom
15
Numer
3
Strony
331-338
Opis fizyczny
Daty
wydano
2005
otrzymano
2004-11-05
poprawiono
2005-01-22
(nieznana)
2005-03-14
Twórcy
  • AGH University of Science and Technology, al. A.Mickiewicza 30, 30-059 Cracow, Poland
Bibliografia
  • Barnett S. (1992): Matrices. Methods and Applications. - Oxford: Clarendon Press.
  • Białas S. (2002): Robust Stability of Polynomials and Matrices. - Cracow: AGH University of Science and Technology Press, (in Polish).
  • Busłowicz M. (1997): Stability of Linear Time Invariant Systems with Uncertain Parameters. - Bial ystok: Technical University Press, (in Polish).
  • Busłowicz M. (2000): Robust Stability of Dynamic Linear Time InvariantSystems with Delays. - Warsaw-Białystok: Polish Academy of Sciences, The Committee of Automatics and Robotics, (in Polish).
  • Feintuch A. (1998): Robust Control Theory in Hilbert Space. - New York: Springer.
  • Jakubowska M. (1999): Algorithms for checking stability of the interval matrixand their numerical realization. - Automatyka, Vol. 3, No. 2, pp. 413-430, (in Polish).
  • Kalmikov S.A. , Sokin J.I. Juldasev Z. H. (1986): Interval Analysis Methods. - Moscow: Nauka, (in Russian).
  • Kharitonov W. L. (1978): On the asymptotical stability of the equilibrium location for a system of linear differential equations. - Diff. Uravnenya, Vol. 14, No. 11, pp. 2086-2088, (in Russian).
  • Klamka J. (1990): Contollability of Dynamic Systems. - Warsaw: Polish Scientific Publishers, (in Polish).
  • Mao X. (2002): Exponential stability of stochastic delay interval systems with Markovian switching. - IEEE Trans. Automat. Contr., Vol. 47, No. 10, pp. 1064-1612.
  • Mitkowski W. (1991): Stabilisation of Dynamic Systems. - Warsaw: Polish Scientific Publishers (in Polish).
  • Moore R. (1966): Interval Analysis. - Upper Saddle River, Englewood Cliffs: Prentice Hall.
  • Moore R. (1997): Methods and Applications of Interval Analysis. - Philadelphia: SIAM.
  • Oprzędkiewicz K. (2003): The interval parabolic system. - Arch. Contr. Sci., Vol. 13, No. 4, pp. 391-405.
  • Oprzędkiewicz K. (2004): A controllability problem for a class of uncertain-parameters linear dynamic systems. - Arch. Contr. Sci., Vol. 14 (L), No. 1, pp. 85-100.
Typ dokumentu
Bibliografia
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