Gain-Scheduled Mean-Field-Type Control for a Non-Linear Continuous Stirred Tank Reactor

Julian Barreiro-Gomez; Julian Barreiro-Gomez; Hamidou Tembine; Hamidou Tembine

doi:10.1109/ACCESS.2020.2997249

Gain-Scheduled Mean-Field-Type Control for a Non-Linear Continuous Stirred Tank Reactor

Julian Barreiro-Gomez, Julian Barreiro-Gomez, Hamidou Tembine, Hamidou Tembine

Research output: Contribution to journal › Article › peer-review

Abstract

We present the design of a Gain-Scheduled Mean-Field-Type Control (GS-MFTC) for a non-linear Continuous Stirred Tank Reactor (CSTR). The MFTC controllers belong to a class of stochastic control techniques considering the distribution of the system states, and control inputs, while minimizing the variance of both variables of interest. The underlying risk-aware control problem is solved explicitly for the infinite horizon in order to determine the required gains composing the feedback control input law. We present both the risk-neutral approach involving the first and second moment (mean and variance terms), and the risk-sensitive approach involving higher-order terms.

Original language	English (US)
Article number	9099218
Pages (from-to)	97783-97792
Number of pages	10
Journal	IEEE Access
Volume	8
DOIs	https://doi.org/10.1109/ACCESS.2020.2997249
State	Published - 2020

Keywords

Gain-scheduled mean-field-type control
continuous stirred tank reactor
risk minimization
risk-neutral mean-field-type control
risk-sensitive mean-field-type control
stochastic control

ASJC Scopus subject areas

General Computer Science
General Materials Science
General Engineering

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10.1109/ACCESS.2020.2997249

Cite this

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title = "Gain-Scheduled Mean-Field-Type Control for a Non-Linear Continuous Stirred Tank Reactor",

abstract = "We present the design of a Gain-Scheduled Mean-Field-Type Control (GS-MFTC) for a non-linear Continuous Stirred Tank Reactor (CSTR). The MFTC controllers belong to a class of stochastic control techniques considering the distribution of the system states, and control inputs, while minimizing the variance of both variables of interest. The underlying risk-aware control problem is solved explicitly for the infinite horizon in order to determine the required gains composing the feedback control input law. We present both the risk-neutral approach involving the first and second moment (mean and variance terms), and the risk-sensitive approach involving higher-order terms.",

keywords = "Gain-scheduled mean-field-type control, continuous stirred tank reactor, risk minimization, risk-neutral mean-field-type control, risk-sensitive mean-field-type control, stochastic control",

author = "Julian Barreiro-Gomez and Julian Barreiro-Gomez and Hamidou Tembine and Hamidou Tembine",

note = "Funding Information: This work was supported by the U.S. Air Force Office of Scientific Research under Grant FA9550-17-1-0259. Publisher Copyright: {\textcopyright} 2013 IEEE.",

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language = "English (US)",

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Gain-Scheduled Mean-Field-Type Control for a Non-Linear Continuous Stirred Tank Reactor

Abstract

Keywords

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