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A Near-Optimal Decentralized Servomechanism Controller for Hierarchical Interconnected Systems

Lavaei, Javad and Momeni, Ahmadreza and Aghdam, Amir G. (2007) A Near-Optimal Decentralized Servomechanism Controller for Hierarchical Interconnected Systems. In: 46th IEEE Conference on Decision and Control. Proceedings IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 5023-5030. ISBN 978-1-4244-1497-0. https://resolver.caltech.edu/CaltechAUTHORS:20100922-115621727

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Abstract

This paper is concerned with decentralized output regulation of hierarchical systems subject to input and output disturbances. It is assumed that the disturbance can be represented as the output of an autonomous LTI system with unknown initial state. The primary objective is to design a decentralized controller with the property that not only does it reject the degrading effect of the disturbance on the output (for a satisfactory steady-state performance), it also results in a small LQ cost function (implying a good transient behavior). To this end, the underlying problem is treated in two phases. In the first step, a number of modified systems are defined in terms of the original system. The problem of designing a LQ centralized controller which stabilizes all the modified systems and rejects the disturbance in the original system is considered, and it is shown that this centralized controller can be efficiently found by solving a LMI problem. In the second step, a method recently presented in the literature is exploited to decentralize the designed centralized controller. It is proved that the obtained controller satisfies the pre-determined design specifications including disturbance rejection. Simulation results elucidate the efficacy of the proposed control law.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/CDC.2007.4434937DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4434937PublisherUNSPECIFIED
Additional Information:© 2007 IEEE. Issue Date: 12-14 Dec. 2007; Date of Current Version: 21 January 2008. This work has been supported by the Natural Sciences and Engineering Research Council of Canada under grant RGPIN-262127-07.
Funders:
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of CanadaRGPIN-262127-07
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INSPEC Accession Number9886035
Series Name:Proceedings IEEE Conference on Decision and Control
DOI:10.1109/CDC.2007.4434937
Record Number:CaltechAUTHORS:20100922-115621727
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100922-115621727
Official Citation:Lavaei, J.; Momeni, A.; Aghdam, A.G.; , "A near-optimal decentralized servomechanism controller for hierarchical interconnected systems," Decision and Control, 2007 46th IEEE Conference on , vol., no., pp.5023-5030, 12-14 Dec. 2007 doi: 10.1109/CDC.2007.4434937 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4434937&isnumber=4434000
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20091
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:24 Sep 2010 18:11
Last Modified:08 Nov 2021 23:57

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