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2003 | 13 | 4 | 485-491
Tytuł artykułu

Argument increment stability criterion for linear delta models

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Currently used stability criteria for linear sampled-data systems refer to the standard linear difference equation form of the system model. This paper presents a stability criterion based on the argument increment rule modified for the delta operator form of the sampled-data model. For the asymptotic stability of this system form it is necessary and sufficient that the roots of the appropriate characteristic equation lie inside a circle in the left half of the complex plane, the radius of which is inversely proportional to the sampling period. Therefore the argument increment of the system characteristic polynomial of an asymptotically stable delta model has to increase by 2πn if this circle has been run around in the counter-clockwise direction. The criterion developed based on this principle permits not only the proof of the system stability itself, but also the approximation of the dominant roots of its characteristic equation.
Rocznik
Tom
13
Numer
4
Strony
485-491
Opis fizyczny
Daty
wydano
2003
otrzymano
2003-03-10
poprawiono
2003-05-30
(nieznana)
2003-09-02
Twórcy
  • Czech Technical University in Prague, Faculty of Mechanical Engineering, Technicka 4, 166 07 Prague 6, Czech Republic
autor
  • Czech Technical University in Prague, Faculty of Mechanical Engineering, Technicka 4, 166 07 Prague 6, Czech Republic
Bibliografia
  • Bobal V., Bohm R. and Fessl J. (1999): Practical Aspects of Self Tuning Controllers Algorithms and Implementation. - Brno: VUTIUM, Techmical University Brno, (in Czech).
  • Chemodanov B.K. (1977): Mathematical Fundations of Automatic ControlTheory. - Moscow: Vysha Shkola, (in Russian).
  • Feuer A. and Goodwin G.C. (1996): Sampling in Digital Processing and Control. - Boston: Birkhauser.
  • Middleton R.H. and Goodwin G.C. (1989): Digital Control and Estimation: A Unified Approach. - Englewood Cliffs: Prentice-Hall.
  • Ogata K. (1995): Discrete-Time Control Systems. - Englewood Cliffs: Prentice-Hall.
  • Zítek P. (1990): Rate of stability criterion for discrete dynamic systems. - Acta Technica CSAV, Vol. 35, No. 1, pp. 83-92.
  • Zítek P. (2001): Mathematical and Simulation Models in Complex Domain. - Prague: CTU.
  • Zítek P. and Petrova R. (2001): Discrete approximation of an isochronic systems using delta transform. - Proc. Conf. Information Engineering and Process Control, IEPC, Prague: Masaryk Academy of Work, pp. 71-72.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv13i4p485bwm
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