Overlapping control design for multi-channel systems
- Creators
- Lavaei, Javad
- Aghdam, Amir G.
Abstract
This paper deals with the decentralized overlapping control of interconnected systems. The notion of a quotient overlapping fixed mode (QOFM) is first introduced and it is shown that a mode of an interconnected linear time-invariant system can be shifted by means of a general decentralized overlapping controller if and only if it is not a QOFM. It is then asserted that any interconnected system with no unstable QOFM can be stabilized by using an appropriate finite-dimensional linear time-varying controller. It is also shown how the existing results aiming at designing a decentralized controller of a certain type such as generalized sampled-data hold function, finite-dimensional linear time-varying, and sampled-data can be utilized to design a decentralized overlapping controller of a desired form, in order to achieve any design specification. The efficacy of the results is elucidated through two numerical examples.
Additional Information
Copyright © 2009 Elsevier. Received 14 November 2007; revised 4 December 2008; accepted 15 January 2009. Available online 20 March 2009. This work has been supported by the Natural Sciences and Engineering Research Council of Canada under grant RGPIN-262127-07. The material in this paper was partially presented at the American Control Conference, New York, 2007. This paper was recommended for publication in revised form by Associate Editor Yasumasa Fujisaki under the direction of Editor Roberto Tempo.Additional details
- Eprint ID
- 16435
- DOI
- 10.1016/j.automatica.2009.01.007
- Resolver ID
- CaltechAUTHORS:20091022-092858435
- 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