Obiekt
Tytuł: A new multirate LQ optimal regulator for linear time-invariant systems and its stability robustness properties
Współtwórca:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Tytuł publikacji grupowej:
Abstract:
In the present paper, the LQ optimal regulation problem for continuous-time systems is solved by using a new class of multirate controllers, called Two-Point-Multirate Controllers (TPMRCs). ; The proposed control strategy is readily applicable in the cases where the state variables of the controlled plant are not available for feedback, since TPMRCs provide the ability to reconstruct exactly the action of static state feedback controllers from input-output data, without resorting to state estimators, and without introducing high-order exogenous dynamics in the control loop. ; On the basis on this strategy, the original problem is reduced to a discrete-time LQ regulation problem for the performance index with cross-product terms (LQRCPT), for which a fictitious static state-feedback controller is needed to be computed. Moreover, the stability robustness properties of the TPMRC-based LQ regulator are analysed. In particular, guaranteed stability margins for TPMRC-based LQ optimal regulators are derived on the basis of a fundamental spectral factorization equality called the Modified Return Difference Equality. ; The suggested guaranteed stability margins are expressed directly in terms of the singular values of the elementary cost and system matrices associated with the equivalent discrete-time LQRCPT optimal design. Sufficient conditions to guarantee the suggested stability margins are established. Finally, the connection between the suggested stability margins and the selection of cost weighting matrices is presented.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
Strony:
Źródło:
AMCS, volume 8, number 3 (1998) ; kliknij tutaj, żeby przejść
Jezyk:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS)
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (1998)
Data ostatniej modyfikacji:
2024-11-05
Data dodania obiektu:
2020-12-22
Liczba wyświetleń treści obiektu:
109
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/64662
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 8, number 1 (1998)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 8, number 2 (1998)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 8, number 3 (1998)
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| Nazwa wydania | Data |
|---|---|
| A new multirate LQ optimal regulator for linear time-invariant systems and its stability robustness properties | 2024-11-05 |
