Decentralized control of discrete-time linear time invariant systems with input saturation
| Autor: | Deliu, C., Deliu, Ciprian, Malek, Babak, Roy, Sandip, Saberi, Ali, Stoorvogel, Antonie Arij |
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| Přispěvatelé: | Scientific Computing |
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
0209 industrial biotechnology
020208 electrical & electronic engineering Linear system Open-loop controller 02 engineering and technology Unit disk Decentralised system EWI-18093 METIS-263880 LTI system theory IR-72389 020901 industrial engineering & automation Unit circle Discrete time and continuous time EWI-15425 Control theory Computer Science::Systems and Control 0202 electrical engineering electronic engineering information engineering METIS-270891 IR-65522 Eigenvalues and eigenvectors Mathematics |
| Zdroj: | International journal of robust and nonlinear control, 20(12):10.1002/rnc.1517, 1353-1362. Wiley Proceedings of the 28th American Control Conference (ACC '09, St. Louis MO, USA, June 10-12, 2009), 2539-2544 STARTPAGE=2539;ENDPAGE=2544;TITLE=Proceedings of the 28th American Control Conference (ACC '09, St. Louis MO, USA, June 10-12, 2009) Proceedings of the 2009 American Control Conference, 2539-2544 STARTPAGE=2539;ENDPAGE=2544;TITLE=Proceedings of the 2009 American Control Conference International Journal of Robust and Nonlinear Control, 20(12), 1353-1362. Wiley ACC |
| ISSN: | 1049-8923 |
| DOI: | 10.1109/acc.2009.5160158 |
| Popis: | We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization imposes obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the closed unit disc and further that the eigenvalues on the unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that the stabilization is possible: whenever (1) the open-loop eigenvalues are in the closed unit disc; (2) the eigenvalues on the unit circle are not decentralized fixed modes; and (3) these eigenvalues on the unit circle have algebraic multiplicity of 1. Keywords: control under saturation, decentralized control, nonlinear control. |
| Databáze: | OpenAIRE |
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