Application of LMI to the design of robust controllers

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Published: 2017-07-01
DOI: https://doi.org/10.17163/ings.n18.2017.11
Keywords:
controller, uncertainty, robust, feedback.

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Edwin Aguilar-Jaramillo
http://orcid.org/0000-0003-0202-6071
Víctor Proaño-Rosero
http://orcid.org/0000-0002-6404-1077

Abstract

The design of precise controllers in presence of significant uncertainly requires the use of robust controllers. A variety of specifications and design constraints for control systems can be expressed in terms of Linear Matrix Inequalities (LMI), which are solved using Convex Optimization algorithms. This article presents the design of robust controllers using LMI for typical systems whose models are obtained from the control literature to which are complemented with parameter uncertainty. The designed controllers use system state feedback.

Article Details

Issue
No. 18 (2017): july - december
Section
Scientific Paper

 

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Author Biographies

Edwin Aguilar-Jaramillo

Departamento de Electrica y Electronica, Docente.

Víctor Proaño-Rosero

Departamento de Electrica y Electronica, Docente.

References

[1] C. Scherer, S. Wieland, “Lecture notes disc course on linear matrix inequalities in control”, 1999.

[2] M. Chilali, P. Gahinet, P. Apkarian, “Robust pole placement in lmi regions”, 1995.

[3] P. Gahinet, A. Nemirovski, A. Laub, M. Chilali, “LMI control toolbox: for use with matlab”, 1995.

[4] J. Doyle, B. Francis, A. Tannenbaum, “Feedback control theory”, USA, 1990.

[5] Addison, Wesley. “Tutorial de espacio de estados”. Disponible en: http://www.ib.cnea.gov.ar/~control2/Links/Tutorial_Matlab_esp/state.html.

[6] O. Pérez, P. Vega, W. Colmenares. “Diseño integrado con realimentación robusta de estados vía desigualdades lineales matriciales”, 2004. Disponible en: http://www.ewh.ieee.org/reg/9/etrans/ieee/issues/vol02/Vol2issue3Sept.2004/2TLA3_04Perez.pdf.