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

• Main Authors: Julian Barreiro-Gomez, Hamidou Tembine
• Format: Article
• Language: English
• Published: IEEE 2020-01-01
• Series: IEEE Access
• Subjects: Gain-scheduled mean-field-type control; stochastic control; risk minimization; risk-neutral mean-field-type control; risk-sensitive mean-field-type control; continuous stirred tank reactor
• Online Access: https://ieeexplore.ieee.org/document/9099218/

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.