Monotonicity of actuated flows on dissipative transport networks

Anatoly Zlotnik, Sidhant Misra, Marc Vuffray, Michael Chertkov

Результат исследований: Глава в книге, отчете, сборнике статейМатериалы для конференциирецензирование

12 Цитирования (Scopus)

Аннотация

We derive a monotonicity property for general, transient flows of a commodity transferred throughout a network, where the flow is characterized by density and mass flux dynamics on the edges with density continuity and mass balance conditions at the nodes. The dynamics on each edge are represented by a general system of partial differential equations that approximates subsonic compressible fluid flow with energy dissipation. The transferred commodity may be injected or withdrawn at any of the nodes, and is propelled throughout the network by nodally located compressors. These compressors are controllable actuators that provide a means to manipulate flows through the network, which we therefore consider as a control system. A canonical problem requires compressor control protocols to be chosen such that time-varying nodal commodity withdrawal profiles are delivered and the density remains within strict limits while an economic or operational cost objective is optimized. In this manuscript, we consider the situation where each nodal commodity withdrawal profile is uncertain, but is bounded within known maximum and minimum time-dependent limits. We introduce the monotone parameterized control system property, and prove that general dynamic dissipative network flows possess this characteristic under certain conditions. This property facilitates very efficient formulation of optimal control problems for such systems in which the solutions must be robust with respect to commodity withdrawal uncertainty. We discuss several applications in which such control problems arise and where monotonicity enables simplified characterization of system behavior.

Язык оригиналаАнглийский
Название основной публикации2016 European Control Conference, ECC 2016
ИздательInstitute of Electrical and Electronics Engineers Inc.
Страницы831-836
Число страниц6
ISBN (электронное издание)9781509025916
DOI
СостояниеОпубликовано - 6 янв. 2017
Опубликовано для внешнего пользованияДа
Событие2016 European Control Conference, ECC 2016 - Aalborg, Дания
Продолжительность: 29 июн. 20161 июл. 2016

Серия публикаций

Название2016 European Control Conference, ECC 2016

Конференция

Конференция2016 European Control Conference, ECC 2016
Страна/TерриторияДания
ГородAalborg
Период29/06/161/07/16

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