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Robust linear controller for dynamic object with two-dimensional uncertain parameters space

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
Robust linear controller for an uncertain param,eter linear dynamic system is presentedin this paper. Plant is described by finite dimensional linear stste-space equation with interval diagonal state matrix, know control and output matrices and two-dimensional uncertain parameters space. The controllable and observable part of the system can be described by equivqlent transfer function. To control the plant a general linear controller is used. general robustness indices and idea of robutness areas are defined for the control system. First order uncertain parameter system with the PID controller is presented as an illustrative example.
Rocznik
Strony
435--444
Opis fizyczny
Bibliogr. 18 poz., rys.
Twórcy
  • AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Cracow, Poland, kop@uci.agh.edu.pl
Bibliografia
  • [1] S. BARNETT: Matrices. Methods and applications. Claredon Press Oxford 1992.
  • [2] S. BIALAS: The robust stability of the polynomials and matrices. Ed. UMM, Krakow, 2002 (in Polish).
  • [3] M. USLOWICZ: Stability of linear time invariant systems with uncertain parameters. Bialystok, 1997, (in Polish).
  • [4] M. BUSLOWICZ: The robust stability of the dynamic linear time invariant systems with delays. Eds Comitee for Automatics and Robotics of Polish Academy of Sciences, Warsaw-Bialystok, 2000, (in Polish).
  • [5] G. E. DELLERUD: A course in robust control theory: a convex approcach. Springer, New York, 2000.
  • [6] A. FEINTUCH: Robust control theory in Hilbert space. Springer, 1998.
  • [7] M. JAKUBOWSKA: Algorithms for checking stability of the interval matrix and their numerical realization. Automatylca, 3(2), (1999), 413-430, (in Polish).
  • [8] S. A. KALMIKOV, J. I. SOKINRM and Z. H. JULDASEV: Methods of interval analisis. Nauka, 1986, (in Russian).
  • [9] W. L. KHARITONOV: On asimptotic stablility of set of diferential equations steady points. Diff Uravnienija, 14(1), (1978), 2086-2088, (in Russian).
  • [10] M. S. MAHMOUD: Robust control and filtering for time-delay systems. Marcel Dekker, Basel, New York, 2000.
  • [11] X. MAO: Exponential stability of stochastic delay interval systems with markovian switching. IEEE Trans. Automatic Control, 47(10), (2002), 1064-1612.
  • [12] W. MITKOWSKI: Stabilisation of the dynamic systems. PWN, Warszawa, 1991, (in Polish).
  • [13] W. MITKOWSKI, K. OPRZEDKIEWICZ: A sample time assign for a discrete interval parabolic system with the two-dimensional uncertain parameter space. Systems Science, 30(1), (2004), 43-50.
  • [14] R. MOORE: Interval analysis, Prentice Hall, 1966.
  • [15] R. MOORE: Methods and applications of interval analysis. SIAM, Philadelphia, 1979.
  • [16] K. OPRZEDKIEWICZ: The interval parabolic system. Archives of Control Sciences, 13(4), (2003), 391-405.
  • [17] K. OPRZEDKIEWICZ: A controllability problem for a class of uncertain - parameters linear dynamic systems. Archives of Control Sciences, 14(1), (2004), 85-100.
  • [18] K. OPRZEDKIEWICZ: An observability problem for a class of uncertain-parameter linear dynamic systems. Int. J of Applied Mathematics and Computer Science, 15(3), (2005), 331-338.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0031-0005
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