Remarks about energy transfer in an RC ladder network

• Autorzy: Mitkowski W.
• Języki publikacji: EN

Abstrakty

EN

The problem of energy transfer in an RC-ladder network is considered. Using the maximum principle, an algorithm for constructing optimal control is proposed, where the cost function is the energy delivered to the network. In the case considered, optimal control exists. Numerical simulations were performed using Matlab.

Słowa kluczowe

EN

optimal control; energy transfer; approximation of an RC-long line

PL

sterowanie optymalne; transfer energii; przybliżenie linii RC

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no 2
• Strony: 193--198
• Opis fizyczny: Bibliogr. 11 poz., rys., wykr.

Twórcy

autor

Mitkowski W.

• Department of Automatics, Academy of Mining and Metallurgy al. Mickiewicza 30/B-1, 30-059 Krakow, Poland,

Bibliografia

• [1] Athans M. and Falb P.L. (1969): Optimal Control. An Introduction to the Theory and Its Applications.—Warsaw: WNT, (in Polish); English version published in 1966 by McGraw-Hill, Inc.
• [2] Bryson, Jr., A.E. and Ho, Y.-C. (1972): Applied Optimal Control. Optimization, Estimation and Control. — Moscow: Mir, (in Russian); English version published in 1975 by Hemisphere.
• [3] Butkovskii A.G. (1965): Theory of Optimal Control of Distributed Parameter Systems. — Moscow: Nauka, (in Russian); English version published in 1969 by Elsevier.
• [4] Górecki H. (1993): Optimization of Dynamic Systems. — Warsaw: Polish Scientific Publishers, (in Polish).
• [5] Korytowski A. (2001): Private Communication.
• [6] Luenberger D.G. (1974): Optimization by Vector Space Methods. — Warsaw: Polish Scientific Publishers, (in Polish); English version published in 1969 by Wiley.
• [7] MitkowskiW. (1994): Synthesis of RC-ladder network.—Bull. Pol. Acad. Sci., Tech. Sci., Vol. 42, No. 1, pp. 33–37.
• [8] Mitkowski W. (1997): Analysis of ladder and ring RCnetworks. — Bull. Pol. Acad. Sci., Tech. Sci., Vol. 45, No. 3, pp. 445–450.
• [9] Mitkowski W. (2000): Remarks on stability of positive linear systems.—Contr. Cybern., Vol. 29, No. 1, pp. 295–304.
• [10] Musielak J. (1976): Introduction to Functional Analysis. — Warsaw: Polish Scientific Publishers, (in Polish).
• [11] Pontryagin L.S., Boltyanskii W.G., Gamkrelidze R.W. and Mishchenko E.F. (1983): The Mathematical Theory of Optimal Processes.—Moscow: Nauka, (in Russian); English version published in 1962 by Interscience.