A new method for analytic determination of extremum of the transients in linear systems

• Autorzy: Górecki H.
• Języki publikacji: EN

Abstrakty

EN

The relation between extremal values of the error and the coefficients of its differential equations is one of the central problems of control systems in chemical industry, becouse extremal values of the error sometimes cause serious damages to the environment or to the system itself. Analytical formulae for the determination of these values are known only for the second-order systems. In this paper a method which permits to determine extremal values of the error in higher-order systems is proposed.

Słowa kluczowe

EN

transcendental equations; extremal dynamic error; linear stationary system; parametric optimization; analytic formulae; discriminants of exponential functions; Vandermonde's determinant; Viete's formulae; process control

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2009
• Tom: Vol. 57, nr 2
• Strony: 153--155
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Górecki H.

• Higher School of Informatics in Lodz, 17a Rzgowska St., 93-08 Lodz, Poland,

Bibliografia

• [1] H. Górecki and A. Turowicz, "Extremal transients in linear automatic control systems", Scientific Bulletins of the Univesrity of Mining and Metallury, Automatics 1 (112), 11-67 (1966a), (in Polish).
• [2] H. Górecki and A. Turowicz, "On the extremal transient processes in linear systems", Bulletin de l'Academic Polonaise des Sciences, Serie des Sciences Math., Astr. et Phys. XIV (11), 609-613 (1966b).
• [3] H. Górecki and A. Turowicz, "Determination of the dependence of the maximal deviation of the controlled quantity and the time of deviation on the parameters in linear control systems", Avtomatika i Telemekhanika 6, 179-181 (1968), (in Russian).