Analytic results for oscillatory systems with extremal dynamic properties

• Autorzy: Górecki H. , Zaczyk M.

Identyfikatory

DOI

10.2478/amcs-2014-0057

• Języki publikacji: EN

Abstrakty

EN

The maximal value of the error is the most important criterion in system design. It is also the most difficult one. For that reason there exist many other criteria. The extreme value of the error represents the attainable accuracy which can be obtained and the corresponding extreme time gives information about how fast the transients are. The extreme values of the error and the corresponding time are treated here as functions of the roots of the characteristic equation. The proposed analytical formulae allow designing systems with prescribed dynamic properties.

Słowa kluczowe

EN

extremal dynamic properties; oscillatory system; extremal time

PL

własności dynamiczne; układ oscylacyjny; czas ekstremalny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: Vol. 24, no. 4
• Strony: 771--784
• Opis fizyczny: Bibliogr. 6 poz., wykr.

Twórcy

autor

Górecki H.

• Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland

autor

Zaczyk M.

• Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland

Bibliografia

• [1] Górecki, H. (2009). Algebraic condition for decomposition of large-scale linear dynamic systems, International Journal of Applied Mathematics and Computer Science 19(1): 107–111, DOI: 10.2478/v10006-009-0010-x.
• [2] Górecki, H. and Turowicz, A. (1965). Optimum transient problem in linear automatic control systems, Proceedings of the 1st IFAC Congress on Automatic and Remote Control, Moscow, Russia, pp. 59–61.
• [3] Górecki, H. and Turowicz, A. (1966). About some linear adaptive control systems, Atti del IX Convegno dell’Automazione e Strumentazione tenutosi a Milano, Milano, Italia, pp. 103–123.
• [4] Górecki, H. and Zaczyk, M. (2010). Extremal dynamic errors in linear dynamic systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 58(1): 99–105.
• [5] Górecki, H. and Zaczyk, M. (2013). Design of systems with extremal dynamic properties, Bulletin of the Polish Academy of Sciences: Technical Sciences 61(3): 563–567.
• [6] Sędziwy, S. (1969). On extremal transients in linear systems, Bulletin De L’Academie Polonaise Des Sciences: Serie des Sciences Mathematiques, Astronimiquea et Physiques 17(3): 141–145.