Automatica, Vol.50, No.1, 44-52, 2014
Control of plant-wide systems using dynamic supply rates
This paper presents a framework for analysis of plant-wide processes from a network perspective. Using the concept of dissipativity, the conditions for plant-wide input-output stability and performance are developed, based on the dissipativity of individual subsystems and the topology of the network of the plant-wide process. Dynamic supply rates, expressed as quadratic differential forms, are proposed not only to render dissipativity based analysis less conservative but also allow the dynamic plant-wide performance criteria to be specified in terms of desired closed loop supply rates. The links between the plant-wide supply rate, finite L-2 gain in an extended input-output space and weighted H-infinity norm are explored in this paper. These results lay a foundation for a supply rate-centric approach to plant-wide distributed control. (C) 2013 Elsevier Ltd. All rights reserved.
Keywords:Process control;Distributed control;Linear networks;Linear output feedback;H-infinity control