MPC for tracking zone regions

Authors
Ferramosca, Antonio; Limon, Daniel; González, Alejandro Hernán; Odloak, Darci; Camacho, Eduardo
Publication Year
2010
Language
English
Format
article
Status
Published version
Description
This paper deals with the problem of tracking target sets using a model predictive control (MPC) law. Some MPC applications require a control strategy in which some system outputs are controlled within specified ranges or zones (zone control), while some other variables – possibly including input variables - are steered to fixed target or set-point. In real applications, this problem is often overcome by including and excluding an appropriate penalization for the output errors in the control cost function. In this way, throughout the continuous operation of the process, the control system keeps switching from one controller to another, and even if a stabilizing control law is developed for each of the control configurations, switching among stable controllers not necessarily produces a stable closed loop system. From a theoretical point of view, the control objective of this kind of problem can be seen as a target set (in the output space) instead of a target point, since inside the zones there are no preferences between one point or another. In this work, a stable MPC formulation for constrained linear systems, with several practical properties is developed for this scenario. The concept of distance from a point to a set is exploited to propose an additional cost term, which ensures both, recursive feasibility and local optimality. The performance of the proposed strategy is illustrated by simulation of an ill-conditioned distillation column.
Fil: Ferramosca, Antonio. Universidad Tecnológica Nacional. Facultad Regional Reconquista; Argentina
Fil: Limon, Daniel. Universidad de Sevilla. Departamento de Ingenieria de Sistemas y Automatica. Escuela Superior de Ingenieros Industriales; España
Fil: González, Alejandro Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química (i); Argentina
Fil: Odloak, Darci. Universidade de Sao Paulo; Brasil
Fil: Camacho, Eduardo. Universidad de Sevilla. Departamento de Ingenieria de Sistemas y Automatica. Escuela Superior de Ingenieros Industriales; España
Subject
Model predictive control
Tracking
Optimality
Zone control
Sistemas de Automatización y Control
Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
INGENIERÍAS Y TECNOLOGÍAS
Access level
Restricted access
License
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repository
CONICET Digital (CONICET)
Institution
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identifier
oai:ri.conicet.gov.ar:11336/13443