Brief paper: Overlapping control design for multi-channel systems

Authors:
Javad Lavaei;Amir G. Aghdam
Affiliations:
Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA 91125, USA;Department of Electrical and Computer Engineering, Concordia University, Montréal, QC H3G 1M8, Canada
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 4
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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.