Determination of optimal controllers. Comparison of two methods for electric network chain

• Autorzy: Górecki H. , Zaczyk M.

Identyfikatory

DOI

10.24425/123432

• Języki publikacji: EN

Abstrakty

EN

In the paper the comparison of two methods for calculation optimal gains is considered. One method using a Kalman procedure and one using a Riccati equation are compared. It is proved that a Kalman procedure is much better.

Słowa kluczowe

EN

optimal controllers; Kalman equation; Riccati equation

PL

filtr Kalmana; równanie Riccatiego

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2018
• Tom: Vol. 66, nr 3
• Strony: 267--273
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Górecki H.

• AGH University of Science and Technology, Department of Automatics and Robotics, Al. Mickiewicza 30, 30-059 Kraków, Poland

autor

Zaczyk M.

• AGH University of Science and Technology, Department of Automatics and Robotics, Al. Mickiewicza 30, 30-059 Kraków, Poland

Bibliografia

• [1] R.E. Kalman, “When is a linear control system optimal”, J. Basic Engineering Transaction 86, 51‒60, (1964).
• [2] D.F. Delchamps, “Analytic feedback control and the algebraic Riccati equation problem”, IEEE Trans. Automatic Control AC 29, 11, 1031‒1033 (1984).
• [3] F. Incertis and A. Skew, “ Symetric formulation of the algebraic Riccati equation problem”, IEEE Trans. Automatic Control AC 29, 5, 467‒470 (1984)
• [4] M.A. Shayman, “Geometry of the algebraic Riccati equation (Part I and Part II)”, SIAM Journal on Control and Optimization 21 (3), 375‒409 (1983).
• [5] H. Langmann, “Parametric optimization in linear-quadratic problem for multidimensional systems”, Automatyka, Zeszyty Naukowe AGH 43, (1988) [in Polish].
• [6] H. Langmann, “Differential Riccati equation”, Automatyka, Zeszyty Naukowe AGH 2 (2), (1988) [in Polish].
• [7] H. Górecki, “Optimal control of electric network chain”, Bull. Pol. Ac.: Tech. 49 (1), 149‒159, (2001).
• [8] H. Górecki, “Optimization and control of dynamical systems”, Uczelniane Wydawnictwa Naukowo-Dydaktyczne AGH, Kraków, (2006) [in Polish].
• [9] T. Kaczorek, “Relation between the coefficients of the closedloop and open-loop characteristic equations of the linear stationary system”, Bull. Pol. Ac.: Tech. 19 (11‒12), (1971).
• [10] H. Abou-Kandil, G. Freiling, V. Ionescu, and G. Jank, “Matrix Riccati equations in control and systems theory”, Systems and Control, Birkhäuser Verlag (2003).

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).