Application of LMI to the design of robust controllers

Main Article Content

Edwin Aguilar-Jaramillo
Víctor Proaño-Rosero


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.
Abstract 248 | PDF (Español (España)) Downloads 276 HTML (Español (España)) Downloads 870


[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:

[6] O. Pérez, P. Vega, W. Colmenares. “Diseño integrado con realimentación robusta de estados vía desigualdades lineales matriciales”, 2004. Disponible en: