Overlapping control systems with optimal information exchange
- Creators
- Sojoudi, Somayeh
- Aghdam, Amir G.
Abstract
This paper deals with the stabilizability of interconnected systems via linear time-invariant (LTI) decentralized controllers. Given a controllable and observable system with some distinct decentralized fixed modes (DFMs), it is desired to find a suitable control structure (in terms of information flow) for it. Since a decentralized controller consists of a number of non-interacting local controllers, the objective here is to establish certain interactions between the local controllers in order to eliminate the undesirable DFMs. This objective is achieved by translating the knowledge of the system into some bipartite graphs. Then, the notions of minimal sets and maximal subgraphs are introduced, which lead to a simple combinatorial algorithm for solving the underlying problem. The efficacy of the results obtained is demonstrated by an illustrative example.
Additional Information
Copyright © 2009 Elsevier. Received 12 May 2007; revised 17 August 2008; accepted 8 January 2009. Available online 20 March 2009. The authors would like to gratefully acknowledge the insightful comments of Mr. Javad Lavaei from the California Institute of Technology, which were essential in the development of the main results of the paper. The material in this paper was partially presented at 2007 American Control Conference, New York City. This paper was recommended for publication in revised form by Associate Editor M. Erol Sezer under the direction of Editor Berç Rüstem. This work has been supported by the Natural Sciences and Engineering Research Council of Canada under grant RGPIN-262127-07.Additional details
- Eprint ID
- 16436
- Resolver ID
- CaltechAUTHORS:20091022-093447827
- RGPIN-262127-07
- Natural Sciences and Engineering Research Council (NSERC) of Canada
- Created
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2009-10-22Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field