Robust multivariable PID control for quadruple-tank process using an ILMI approach

Diego Mogrovejo; Ernesto Granado; William Colmenares; Julio Zambrano; Flavio Quizhpi

doi:10.1109/ETCM.2016.7750869

Robust multivariable PID control for quadruple-tank process using an ILMI approach

Diego Mogrovejo, Ernesto Granado, William Colmenares, Julio Zambrano, Flavio Quizhpi

Energy Research Group (GIE)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This paper shows a robust multivariable PID controller design for a nonlinear quadruple tank process. The controller synthesis is reduced to an equivalent static output feedback control problem. The closed loop β /2 -stabilizable performance is guarantee for the linearized system with convex polytopic uncertainty. The algorithm is based on an iterative linear matrix inequality approach. The Parameter-dependent Lyapunov matrix functions, together with the Lyapunov matrix and the system dynamic matrix decoupling, are used in robust stabilizability conditions for conservatism reduction in the robust problem formulation. The design technique is illustrated with a numerical example.

Original language	English
Title of host publication	2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509016297
DOIs	https://doi.org/10.1109/ETCM.2016.7750869
State	Published - 21 Nov 2016
Event	2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016 - Quito, Ecuador Duration: 12 Oct 2016 → 14 Oct 2016

Publication series

Name	2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016

Conference

Conference	2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016
Abbreviated title	ETCM 2016
Country/Territory	Ecuador
City	Quito
Period	12/10/16 → 14/10/16

Bibliographical note

Funding Information:
The authors gratefully acknowledge the support offered by The Prometeo Project: Secretaría de Educación Superior, Ciencia, Tecnología e Innovación (Senescyt) and Universidad Politécnica Salesiana, both in the Republic of Ecuador, and the Universidad Simón Bolívar in Venezuela.

Publisher Copyright:
© 2016 IEEE.

Keywords

linear matrix inequality (LMI)
multivariable PID control
polytopic uncertainty
quadruple-tank process
static output feedback (SOF)

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10.1109/ETCM.2016.7750869

Cite this

Mogrovejo, D., Granado, E., Colmenares, W., Zambrano, J., & Quizhpi, F. (2016). Robust multivariable PID control for quadruple-tank process using an ILMI approach. In 2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016 Article 7750869 (2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ETCM.2016.7750869

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title = "Robust multivariable PID control for quadruple-tank process using an ILMI approach",

abstract = "This paper shows a robust multivariable PID controller design for a nonlinear quadruple tank process. The controller synthesis is reduced to an equivalent static output feedback control problem. The closed loop β /2 -stabilizable performance is guarantee for the linearized system with convex polytopic uncertainty. The algorithm is based on an iterative linear matrix inequality approach. The Parameter-dependent Lyapunov matrix functions, together with the Lyapunov matrix and the system dynamic matrix decoupling, are used in robust stabilizability conditions for conservatism reduction in the robust problem formulation. The design technique is illustrated with a numerical example.",

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author = "Diego Mogrovejo and Ernesto Granado and William Colmenares and Julio Zambrano and Flavio Quizhpi",

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doi = "10.1109/ETCM.2016.7750869",

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Mogrovejo, D, Granado, E, Colmenares, W, Zambrano, J & Quizhpi, F 2016, Robust multivariable PID control for quadruple-tank process using an ILMI approach. in 2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016., 7750869, 2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016, Institute of Electrical and Electronics Engineers Inc., 2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016, Quito, Ecuador, 12/10/16. https://doi.org/10.1109/ETCM.2016.7750869

Robust multivariable PID control for quadruple-tank process using an ILMI approach. / Mogrovejo, Diego; Granado, Ernesto; Colmenares, William et al.
2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016. Institute of Electrical and Electronics Engineers Inc., 2016. 7750869 (2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper shows a robust multivariable PID controller design for a nonlinear quadruple tank process. The controller synthesis is reduced to an equivalent static output feedback control problem. The closed loop β /2 -stabilizable performance is guarantee for the linearized system with convex polytopic uncertainty. The algorithm is based on an iterative linear matrix inequality approach. The Parameter-dependent Lyapunov matrix functions, together with the Lyapunov matrix and the system dynamic matrix decoupling, are used in robust stabilizability conditions for conservatism reduction in the robust problem formulation. The design technique is illustrated with a numerical example.

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Robust multivariable PID control for quadruple-tank process using an ILMI approach

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