Remarks about energy transfer in an RC ladder network

• Autorzy: Wojciech Mitkowski
• Języki publikacji: EN

Abstrakty

EN

The problem of energy transfer in an -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

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 2
• Strony: 193-198

Daty

wydano

2003

otrzymano

2002-12-22

poprawiono

2003-04-02

Twórcy

autor

Wojciech Mitkowski

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

Bibliografia

• 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.
• 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.
• Butkovskii A.G. (1965): Theory of Optimal Control of Distributed Parameter Systems. - Moscow: Nauka, (in Russian); English version published in 1969by Elsevier.
• Górecki H. (1993): Optimization of Dynamic Systems.- Warsaw: Polish Scientific Publishers, (in Polish).
• Korytowski A. (2001): Private Communication.
• Luenberger D.G. (1974): Optimization by Vector Space Methods.- Warsaw: Polish Scientific Publishers, (in Polish); English version published in 1969by Wiley.
• Mitkowski W. (1994): Synthesis of RC-ladder network.- Bull. Pol. Acad. Sci., Tech. Sci., Vol. 42, No. 1, pp. 33-37.
• Mitkowski W. (1997): Analysis of ladder and ring RC-networks.- Bull. Pol. Acad. Sci., Tech. Sci., Vol. 45, No. 3, pp. 445-450.
• Mitkowski W. (2000): Remarks on stability of positive linear systems. - Contr. Cybern., Vol. 29, No. 1, pp. 295-304.
• Musielak J. (1976): Introduction to Functional Analysis.- Warsaw: Polish Scientific Publishers, (in Polish).
• 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.