Dissipativity based distributed control synthesis

doi:10.1016/j.jprocont.2013.03.004

Dissipativity based distributed control synthesis

2013-06-01

28

PRE

AI

M

Michael James Tippett

J

Jie Bao *

DOI：10.1016/j.jprocont.2013.03.004

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Abstract

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A control synthesis approach for plant-wide processes from a network perspective based on dissipativity theory is presented. Dynamic supply rates, expressed as quadratic differential forms, are used in an effort to render dissipativity based control design methodologies less conservative. In this paper, a convex algorithm for designing a plant-wide control system is presented, which, ensures plant-wide closed loop internal stability and performance in the form of weighted H-infinity norm bounds. This is achieved by encoding these requirements as dissipativity conditions on the individual controllers and subsequently synthesizing suitably dissipative controllers. This approach to plant-wide control design is applicable to distributed control design with arbitrary communication topology as well as decentralized and centralized control. An example is provided to illustrate these results. (C) 2013 Elsevier Ltd. All rights reserved.

Keywords:

Distributed control

Plant-wide control

Dissipative systems theory

Quadratic differential forms

Dissipative control synthesis

Dissipativity based distributed control synthesis

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