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

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-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 languageEnglish
Title of host publication2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509016297
DOIs
StatePublished - 21 Nov 2016
Event2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016 - Quito, Ecuador
Duration: 12 Oct 201614 Oct 2016

Publication series

Name2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016

Conference

Conference2016 IEEE Ecuador Technical Chapters Meeting, ETCM 2016
Abbreviated titleETCM 2016
Country/TerritoryEcuador
CityQuito
Period12/10/1614/10/16

Bibliographical note

Funding Information:
The authors gratefully acknowledge the support offered by The Prometeo Project: Secretar?a de Educaci?n Superior, Ciencia, Tecnolog?a e Innovaci?n (Senescyt) and Universidad Polit?cnica Salesiana, both in the Republic of Ecuador, and the Universidad Sim?n Bol?var 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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