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Designing robustly stabilising controllers for LTI spatially distributed systems using coprime factor synthesis

Reinschke J. and Smith M.C.

Automatica, Volume 39, Number 2, Pages 193-203, February 2003

Abstract

This paper considers the design of feedback controllers for linear, time-invariant, spatially distributed systems in an approach which generalises the H-infinity framework and in particular the H-infinity loop-shaping method. To this end, we introduce a class of spatially distributed system models called finite dimensional, distributed, linear, time-invariant systems. Sensors and actuators are considered to be part of the controller, rather than part of the plant, and thus the controller we wish to design is itself a spatially distributed system. Optimising over placements and shapes of the sensor and actuator spatial distribution functions is an integrated part of the controller design procedure. As an illustrative design example, we present the feedback stabilisation of an electrostatically destabilised, electrically conducting membrane.

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BibTex Entry

@Article{,
author = {Reinschke J. and Smith M.C.},
journal = {Automatica},
title = {Designing robustly stabilising controllers for LTI spatially distributed systems using coprime factor synthesis},
year = {2003},
month = {February},
number = {2},
pages = {193-203},
volume = {39}
}