A Tuning Procedure for ARX-based MPC of Multivariate Processes

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Abstract

We present an optimization based tuning procedure with certain robustness properties for an offset free Model Predictive Controller (MPC). The MPC is designed for multivariate processes that can be represented by an ARX model. The stochastic model of the ARX model identified from input-output data is modified with an ARMA model designed as part of the MPC-design procedure to ensure offset-free control. The MPC is designed and implemented based on a state space model in innovation form. Expressions for the closed-loop dynamics of the unconstrained system is used to derive the sensitivity function of this system. The closed-loop expressions are also used to numerically evaluate absolute integral performance measures. Due to the closed-loop expressions these evaluations can be done relative quickly. Consequently, the tuning may be performed by numerical minimization of the integrated absolute error subject to a constraint on the maximum of the sensitivity function. The latter constraint provides a robustness measure that is essential for the procedure. The method is demonstrated for two simulated examples: A Wood-Berry distillation column example and a cement mill example.
Original languageEnglish
Title of host publication2013 American Control Conference (ACC)
PublisherIEEE
Publication date2013
Pages1721-1726
ISBN (Print)978-1-4799-0176-0, 978-1-4799-0177-7
Publication statusPublished - 2013
Event2013 American Control Conference - Washington, United States
Duration: 17 Jun 201319 Jun 2013
http://a2c2.org/conferences/acc2013/

Conference

Conference2013 American Control Conference
CountryUnited States
CityWashington
Period17/06/201319/06/2013
Internet address
SeriesAmerican Control Conference
ISSN0743-1619

Cite this

Olesen, D., Huusom, J. K., & Jørgensen, J. B. (2013). A Tuning Procedure for ARX-based MPC of Multivariate Processes. In 2013 American Control Conference (ACC) (pp. 1721-1726). IEEE. American Control Conference