TY - JOUR

T1 - Gain-Scheduled Mean-Field-Type Control for a Non-Linear Continuous Stirred Tank Reactor

AU - Barreiro-Gomez, Julian

AU - Barreiro-Gomez, Julian

AU - Tembine, Hamidou

AU - Tembine, Hamidou

N1 - Funding Information:
This work was supported by the U.S. Air Force Office of Scientific Research under Grant FA9550-17-1-0259.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Gain-scheduled mean-field-type control

KW - continuous stirred tank reactor

KW - risk minimization

KW - risk-neutral mean-field-type control

KW - risk-sensitive mean-field-type control

KW - stochastic control

UR - http://www.scopus.com/inward/record.url?scp=85087548367&partnerID=8YFLogxK

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U2 - 10.1109/ACCESS.2020.2997249

DO - 10.1109/ACCESS.2020.2997249

M3 - Article

AN - SCOPUS:85087548367

VL - 8

SP - 97783

EP - 97792

JO - IEEE Access

JF - IEEE Access

SN - 2169-3536

M1 - 9099218

ER -