Wszystkie pola: linear quadratic performance index - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Fixed final time and free final state optimal control problem for fractional dynamic systems – linear quadratic discrete-time case
Autorzy:: Dzieliński, A.
Czyronis, P. M.
Powiązania:: https://bibliotekanauki.pl/articles/201358.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional order systems
discrete-time systems
optimal control
linear quadratic performance index
Opis:: The optimization problem for fractional discrete-time systems with a quadratic performance index has been formulated and solved. The case of fixed final time and a free final state has been considered. A method for numerical computation of optimization problems has been presented. The presented method is a generalization of the well-known method for discrete-time systems of integer order. The efficiency of the method has been demonstrated on numerical examples and illustrated by graphs. Graphs also show the differences between the fractional and classical (standard) systems theory. Results for other cases of the fractional system order (coefficient ) and not illustrated with numerical examples have been obtained through a computer algorithm written for this purpose.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 3; 681-690
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Optimal control of a two-dimensional linear system with a quadratic performance index with constraints on the trajectory and the control
Autorzy:: Biły, Barbara
Powiązania:: https://bibliotekanauki.pl/articles/747527.pdf
Data publikacji:: 1997
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Linear-quadratic problems
Other methods
Opis:: .
The main purpose of this note is to present a method for solving the linear-quadratic optimal regulator for discrete, linear general two-dimensional system with constant coefficients. The quadratic optimal regulator problem can be formulated: find of sequence of control vectors in fixed rectangle, which transfer the system to given final state vector and minimizes the quadratic performance index, with constraints of control and state vector. This problem, by transformation for systemand performance index is reduced to equivalent mathematical programming problem. Necessary and sufficient conditions are established for the existence of a solution to this problem. With slight modifications the considerations can be extended for 2-D systems with variable coefficient and n-D linear systems.
Źródło:: Mathematica Applicanda; 1997, 26, 40
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

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