Design of systems with extremal dynamic properties

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

Abstrakty

EN

In this article the problem of determination of coefficients a1, a2, . . . , an of the characteristic equation which yield required extremal values of the solution x(t) at extremal values τ of time is solved. The extremal values of x(t) and τ are treated as functions of the roots s1, s2, . . . , sn. The analytical formulae enable to design the systems with prescribed dynamic properties. The zeros and poles can be located using the known method. The extremal dynamic error x(t) is the most important property of the behaviour of the system. This extremal value of the dynamic error has fundamental role in the chemical industry where for example overrising temperature or pressure can lead to an explosion. A second very important property is the extremal time τ connected with the extremal value of the error. This property is essential in the electroenergetic system, which can be destroyed by the overvoltages waves.

Słowa kluczowe

EN

systems; extremal dynamic properties; overvoltages waves

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2013
• Tom: Vol. 61, nr 3
• Strony: 563--567
• Opis fizyczny: Bibliogr. 8 poz., wykr., tab.

Twórcy

autor

Górecki H.

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

autor

Zaczyk M.

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

Bibliografia

• [1] H. Górecki and A. Turowicz, “Optimum transient problem in linear automatic control systems”, Automatic and Remote Control,Proc. 1st IFAC Congress V.I., 59-61 (1965).
• [2] H. Górecki and A. Turowicz, “About some linear adaptive control systems”, Atti del IX Convegno dell’Automazione e Strumentazionetenutosi a Milano 1, 103-123 (1966).
• [3] A. Mostowski and M. Stark, Higher Algebra, part 2, pp. 82-85, PWN, Warsaw, 1954, (in Polish).
• [4] T. Kaczorek, “Design of single-input system for specified poles an zeros using gain elements”, Control Principles 2 (4), CDROM (1972).
• [5] H. Górecki, “Optimization and control of dynamic systems”, AGH Scientific Publications 9, 378-382 (2006), (in Polish).
• [6] H. Górecki and M. Zaczyk, “Extremal dynamic errors in linear dynamic systems”, Bull. Pol. Ac.: Tech. 58 (1), 99-105 (2010).
• [7] H. Górecki and S. Białas, “Relations between roots and coefficients of the transcendental equations”, Bull. Pol. Ac.: Tech. 58 (4), 631-632 (2010).
• [8] S. Białas and H. Górecki, “Generalization of Vieta’s formulae to the fractional polynomials, and generalizations the method of Graeffe-Lobactievsky”, Bull. Pol. Ac.: Tech. 58 (4), 625-629 (2010).