Explicit boundary controls for finite diffusion process

Thumbnail Image

Access rights

openAccess
publishedVersion

URL

Journal Title

Journal ISSN

Volume Title

A4 Artikkeli konferenssijulkaisussa
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)

Authors

Date

2017

Department

Department of Electrical Engineering and Automation

Major/Subject

Mcode

Degree programme

Language

en

Pages

6

Series

Proceedings of the 20th IFAC World Congress, IFAC'2017, Volume 50, issue 1, pp. 15337-15342, IFAC-PapersOnLine

Abstract

Three types of boundary controls are considered: proportional control, feed-forward control and integrated-by-past-values control. They stabilise the diffusion process exponentially at the desired reference on the controlled boundary. The process is actuated through the Neumann boundary while on other boundaries it is given with the Dirichlet data and, in higher dimensions, also with the homogeneous Neumann boundary condition. Two systems, deterministic and stochastic are compared as an ideal and real description of a physical system. Disturbance in the stochastic system is originated by a white noise on the controlled boundary. Physically this noise represents different types of uncertainties like a side-reaction mass-flux and other uncertainties that are not part of a deterministic model. At first the proportional control is analysed on the deterministic system and then it is represented in the feedback integrated past controls form, and lastly the developed controls are modified as a version of stochastic control that applied on the stochastic system, which boundary is disturbed with an unmeasured noise. The regulation error that emerges in the stochastic system control is analysed and proved to be a zero-mean, bounded-variance Gaussian variable that is correlated spatially and temporarily. The process control is demonstrated on an electrodeposition process example.

Description

Keywords

distributed parameter system, stochastic process, boundary control

Other note

DOI

10.1016/j.ifacol.2017.08.2454

Citation

Tenno, R 2017, Explicit boundary controls for finite diffusion process. in Proceedings of the 20th IFAC World Congress, IFAC'2017. 1 edn, vol. 50, IFAC-PapersOnLine, Elsevier, pp. 15337-15342, IFAC World Congress, Toulouse, France, 09/07/2017. https://doi.org/10.1016/j.ifacol.2017.08.2454

Permanent link to this item

https://urn.fi/URN:NBN:fi:aalto-201902252061

Collections

[article-cris] Sähkötekniikan korkeakoulu / ELEC