Dynamical model of propagation of pollutants in a river

• Autorzy: Żołopa E. , Grabowski P.

Warianty tytułu

PL

Model abstrakcyjny dynamiki rozprzestrzeniania się zanieczyszczeń w rzece

• Języki publikacji: EN

Abstrakty

EN

In this paper a dynamical model of propagation of pollutants in a river with M point controls in the form of aerators and K point measurements is being transformed to an abstract model on a suitably chosen Hilbert space. Our model belongs to the class of abstract models of the factor-type. It is shown that the semigroup generated by the state operator A has a property of decaying in a finite-time, the observation operator is admissible, and the system transfer function is in the space H∞ (C+, L(CM, CK)). In the final part we also formulate the LQ problem with infinite-time horizon.

PL

W artykule przekształcany jest model dynamiczny rozprzestrzeniania się zanieczyszczeń w rzece, z punktowymi sterowaniami w postaci M aeratorów i K punktami pomiarowymi, do modelu abstrakcyjnego na odpowiednio dobranej przestrzeni Hilberta. Model abstrakcyjny jest typu sfaktoryzowanego. Pokazano, że półgrupa generowana przez operator stanu A ma własność zanikania w skończonym czasie, operator obserwacji jest dopuszczalny i transmitancja systemu należy do przestrzeni H∞ (C+, L(CM, CK)). W końcowej części pracy formułuje się problem liniowo-kwadratowy z nieskończonym horyzontem czasowym.

Słowa kluczowe

EN

control of infinite-dimensional systems; semigroups; water quality control

PL

sterowanie układami nieskończenie wymiarowymi; półgrupy; sterowanie jakością wody

• Wydawca: Wydawnictwa AGH
• Czasopismo: Automatyka / Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie
• Rocznik: 2008
• Tom: T. 12, z. 2
• Strony: 169--182
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Żołopa E.

• Institute of Automatics, AGH University of Science and Technology, Krakow

autor

Grabowski P.

• Institute of Automatics, AGH University of Science and Technology, Krakow

Bibliografia

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