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EFFECT OF RISK-SENSITIVE STOCHASTIC OPTIMAL CONTROL WITH TRACKING IN AN EVAPORATOR

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JANUARY-DECEMBER 2022   -  Volume: 11 -  Pages: [12 P]

DOI:

https://doi.org/10.6036/ES10293

Authors:

MARÍA ARACELIA ALCORTA GARCÍA
-
SANTOS MENDEZ DIAZ
-
JOSE ARMANDO SAENZ ESQUEDA
-
GERARDO MAXIMILIANO MENDEZ
-
NORA ELIZONDO VILLAREAL
- MIRNA MARICELA MARTINEZ FLORES

Disciplines:

  • INFORMATION TECHNOLOGY AND KNOWLEDGE (OPTIMIZACION Y CONTROL )

Downloads:   63

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Received Date :   22 July 2021

Reviewing Date :   28 July 2021

Accepted Date :   14 December 2021


Key words:
Control óptimo con tracking R-S, modelo del evaporador, Optimal Risk-Sensitive control with tracking, modelling of the evaporator
Article type:
ARTICULO DE INVESTIGACION / RESEARCH ARTICLE
Section:
RESEARCH ARTICLES

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.

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