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