Optimal control of an Infinite Order Hyperbolic System with Multiple Time-Varying Lags

• Autorzy: Kowalewski A.

Warianty tytułu

PL

Sterowanie optymalne Systemem Hiperbolicznym Nieskończonego Rzędu z Wielokrotnymi Zmiennymi Opóźnieniami Czasowymi

• Języki publikacji: PL

Abstrakty

PL

W pracy rozważono problem rozłożonego sterowania optymalnego systemem hiperbolicznym nieskończonego rzędu z różnymi wielokrotnymi zmiennymi opóźnieniami czasowymi występującymi w równaniach stanu oraz w warunkach brzegowych typu Neumanna. Korzystając ze schematu Lionsa, wyprowadzono warunki konieczne i wystarczające optymalności przy kwadratowym wskaźniku jakości i ograniczeniach na sterowanie dla problemu brzegowego Neumanna.

EN

In this paper an optimal distributed control problem for an infinite order hyperbolic system in which different multiple time-varying lags appear both in the state equation and in the boundary condition is considered. Making use of Lion's scheme (Lions 1971), necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functional and constrained control are derived.

Słowa kluczowe

PL

sterowanie optymalne; system hiperboliczny; zmienne opóźnienia czasowe

EN

optimal control; infinite order; hyperbolic system; multiple time-varying lags

• Wydawca: Wydawnictwa AGH
• Czasopismo: Automatyka / Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie
• Rocznik: 2011
• Tom: T. 15, z. 1
• Strony: 53--65
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Kowalewski A.

• AGH University of Science and Technology, Faculty of Electrical Engineering, Automatics, Computer Science and Electronics, Department of Automatics, Al. Mickiewicza 30, 30-059 Krakow, Poland,

Bibliografia

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