Extremal dynamic errors in linear dynamic systems

• Autorzy: Górecki H. , Zaczyk M.
• Języki publikacji: EN

Abstrakty

EN

Two different analytical methods of determining extremal dynamic errors in linear dynamic systems are presented. The main idea of these methods is based on finding certain additional equations. These additional equations are obtained due to the assumption that an extremal point obtained from the necessary condition dx/dt=0, is also an extremum point with respect to initial conditions, that is, d/dci= 0, i = 1, . . . , n.

Słowa kluczowe

EN

extremal dynamic errors; linear dynamic systems

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2010
• Tom: Vol. 58, nr 1
• Strony: 99--105
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Górecki H.

autor

Zaczyk M.

• Faculty of Informatics, Higher School of Informatics, 17a Rzgowska St., 93-008 Łódź, Poland,

Bibliografia

• [1] H. Górecki and A. Turowicz, “Optimum transient problem in linear automatic control system”, Proc. 1-st IFAC Congress Moscow 1, 59–61 (1960).
• [2] H. Górecki and A. Turowicz, “Opriedielenije zawisimosti maksimalnego otkłonienija regulirujemoj wieliciny i wremieni otkłonienija ot parametrow w liniejnych sistiemach uprawlenija”, Awtomatika i Tielemechanika 6, 3 (1968), (in Russian).
• [3] H. Górecki, “Analytical method of solution of the transcendental equations for purposes of control theory”, Recent Advances in Control and Automation 1, 454–496 (2008).
• [4] H. Górecki, “A new method for analytic determination of extremum of the transients in linear systems”, Bull. Pol. Ac.: Tech. 57 (2), 153–155 (2009).
• [5] T. Kaczorek, Theory of Control, PWN, Warsaw, 1977, (in Polish).