NDLI: Leader selection and optimal synchronization gains in synchronization control of networked distributed parameter systems

Content Provider	IEEE Xplore Digital Library
Author	Demetriou, Michael A.
Copyright Year	2015
Description	Author affiliation: Worcester Polytechnic Institute, Dept of Mechanical Engineering, MA 01609, USA (Demetriou, Michael A.)
Abstract	This work is concerned with the optimization aspects of networked distributed parameter systems. It is assumed that the information exchange between the networked systems, each of which is governed by an evolution equation in an abstract space, is a priori given and the design objective is to choose the leader and the synchronization controllers so that all the followers track the leader in an appropriate norm, and that all networked system agree with each other. The optimization problem is formulated as a minimization problem of a quadratic index penalizing the distance from synchronization and the tracking errors. The optimal value of the quadratic index, as it is parameterized by the synchronization gains, is expressed in terms of the solution to an associated operator Lyapunov equation. Adding another level of optimization, one can optimally select the leader and the associated optimal synchronization gains. Such a leader selection reduces to zeroing a row of an associated gain matrix for the aggregate system. Numerical studies of four networked parabolic PDEs are presented to provide additional insight on the effects of optimal leader selection and optimal gain selection on the synchronization controller performance and the collective behavior of the networked PDE systems.
Starting Page	555
Ending Page	560
File Size	227174
Page Count	6
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7402287
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Synchronization Aggregates Optimization Mathematical model Distributed parameter systems Indexes Topology leader selection synchronization controllers networked systems
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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