Open AccessEFFECT OF RISK-SENSITIVE STOCHASTIC OPTIMAL CONTROL WITH TRACKING IN AN EVAPORATOR
Author(s) -
María Aracelia Alcorta García,
Santos Mendez Diaz,
José Armando Sáenz Esqueda,
GERARDO MAXIMILIANO MENDEZ DIAZ,
Nora Elizondo-Villarreal,
MIRNA MARICELA MARTINEZ FLORES
Publication year - 2022
Publication title -
dyna. energía y sostenibilidad
Language(s) - English
Resource type - Journals
ISSN - 2254-2833
DOI - 10.6036/es10293
Subject(s) - control theory (sociology) , setpoint , exponential function , stochastic control , optimal control , pid controller , tracking error , white noise , overshoot (microwave communication) , noise (video) , mathematics , nonlinear system , evaporator , computer science , mathematical optimization , engineering , control (management) , control engineering , mathematical analysis , physics , statistics , temperature control , mechanical engineering , telecommunications , heat exchanger , quantum mechanics , artificial intelligence , image (mathematics)
This work presents an application of the Risk-Sensitive (R-S) control with tracking applied to a stochastic nonlinear system which models the operation of an electronic expansion valve (EEV) in a conventional evaporator. A novel dynamical stochastic equation represents the mathematical model of the evaporator system. The R-S stochastic optimal problem consists of the design of an optimal control u(t) such that the state reaches setpoint values (SP) and minimizes the exponential quadratic cost function. The presence of disturbances and errors in the sensor measurements is represented by Gauss white noise in the state equation, with the coefficient v(e/(2?^2 )) . One novel characteristic in this proposal is that the coefficient of the control into the state equation contains the state term. The error and exponential quadratic cost function show that the R-S control has a better performance versus the classical PID (Proportional, Integral Derivative) control.Key Words: Optimal Risk-Sensitive control with tracking, modelling of the evaporator.