The LQ/KYP problem for infinite-dimensional systems

• Autorzy: Grabowski P.

Identyfikatory

DOI

10.7494/OpMath.2017.37.1.21

• Języki publikacji: EN

Abstrakty

EN

Our aim is to present a solution to a general linear-quadratic (LQ) problem as well as to a Kalman-Yacubovich-Popov (KYP) problem for infinite-dimensional systems with bounded operators. The results are then applied, via the reciprocal system approach, to the question of solvability of some Lur'e resolving equations arising in the stability theory of infinite-dimensional systems in factor form with unbounded control and observation operators. To be more precise the Lur’e resolving equations determine a Lyapunov functional candidate for some closed-loop feedback systems on the base of some properties of an uncontrolled (open-loop) system. Our results are illustrated in details by an example of a temperature of a rod stabilization automatic control system.

Słowa kluczowe

EN

control of infinite-dimensional systems; semigroups; infinite-time LQ-control problem; Lur’e feedback systems

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 1
• Strony: 21--64
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Grabowski P.

• AGH University of Science and Technology Institute of Control and Biomedical Engineering al. Mickiewicza 30, 30-059 Krakow, Poland

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).