Temat: infinite-time lq-control problem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The LQ/KYP problem for infinite-dimensional systems
Autorzy:: Grabowski, P.
Powiązania:: https://bibliotekanauki.pl/articles/255449.pdf
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: control of infinite-dimensional systems
semigroups
infinite-time LQ-control problem
Lur’e feedback systems
Opis:: 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.
Źródło:: Opuscula Mathematica; 2017, 37, 1; 21-64
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Small-gain theorem for a class of abstract parabolic systems
Autorzy:: Grabowski, P.
Powiązania:: https://bibliotekanauki.pl/articles/255288.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: control of infinite-dimensional systems semigroups
infinite-time LQ-control problem
Lur'e feedback systems
Opis:: We consider a class of abstract control system of parabolic type with observation which the state, input and output spaces are Hilbert spaces. The state space operator is assumed to generate a linear exponentially stable analytic semigroup. An observation and control action are allowed to be described by unbounded operators. It is assumed that the observation operator is admissible but the control operator may be not. Such a system is controlled in a feedback loop by a controller with static characteristic being a globally Lipschitz map from the space of outputs into the space of controls. Our main interest is to obtain a perturbation theorem of the small-gain-type which guarantees that null equilibrium of the closed-loop system will be globally asymptotically stable in Lyapunov's sense.
Źródło:: Opuscula Mathematica; 2018, 38, 5; 651-680
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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