Approximating solution of stochastic differential games for distributed control of a water network

Publikation: Bidrag til tidsskriftKonferenceartikel i tidsskriftForskningpeer review

1 Citationer (Scopus)
17 Downloads (Pure)

Abstract

In this paper, our objective is to design a distributed optimal control for pumping stations operating in a Water Distribution Network (WDN), where we would like to satisfy consumer demands with minimum energy consumption. The WDN has been modeled using graph theory and stochastic differential equations. This leads to a non-zero sum stochastic differential game. We have approximated the solution of the aforementioned game using Markov chain approximation and combined it with Shapley's algorithm so as to obtain Minimax mixed strategies. Minimax solution can be obtained as a distributed computation at the pumping stations without any knowledge of the costs incurred by the other pumping stations. Simulation results on the water network show convergence to an approximate Minimax solution.

OriginalsprogEngelsk
BogserieIFAC-PapersOnLine
Vol/bind55
Udgave nummer16
Sider (fra-til)110-115
Antal sider6
ISSN2405-8963
DOI
StatusUdgivet - 1 jul. 2022
Begivenhed18th IFAC Workshop on Control Applications of Optimization, CAO 2022 - Gif sur Yvette, Frankrig
Varighed: 18 jul. 202222 jul. 2022

Konference

Konference18th IFAC Workshop on Control Applications of Optimization, CAO 2022
Land/OmrådeFrankrig
ByGif sur Yvette
Periode18/07/202222/07/2022
Sponsoret al., IFAC TC 1.2. Adaptive and Learning Systems, IFAC TC 1.5 Networked Systems, IFAC TC 2.1 Control Design, IFAC TC 2.2. Linear Control Systems, International Federation of Automatic Control (IFAC) - Technical Committee on Optimal Control, TC 2.4

Bibliografisk note

Publisher Copyright:
Copyright © 2022 The Authors.

Fingeraftryk

Dyk ned i forskningsemnerne om 'Approximating solution of stochastic differential games for distributed control of a water network'. Sammen danner de et unikt fingeraftryk.

Citationsformater