Jaime A. Moreno

Universidad Nacional Autónoma de México (UNAM)
Instituto de Ingeniería

Jaime A. Moreno was born in Colombia and he received his Ph.D. degree (Summa cum Laude) in Electrical Engineering (Automatic Control) from the Helmut–Schmidt University in Hamburg, Germany in 1995. The Diplom-Degree in Electrical Engineering (Automatic Control) from the Universität zu Karlsruhe, Karlsruhe, Germany in 1990, and the Licentiate-Degree (with honors) in Electronic Engineering from the Universidad Pontificia Bolivariana, Medellin, Colombia in 1987. He is full Professor of Automatic Control and the Head of the Electrical and Computing Department at the Institute of Engineering from the National University of Mexico (UNAM), in Mexico City. He is member of the Technical Board of IFAC. He is the author and editor of 8 books, 4 book chapters, 1 patent, and author and co-author of more than 300 papers in refereed journals and conference proceedings. His current research interests include robust and non-linear control with application to biochemical processes (wastewater treatment processes), the design of nonlinear observers and higher order sliding mode control.

Control and observation of non-linear systems using discontinuities

Summary:
In the tasks of control and observation of non-linear systems it is usual that there are external perturbations and / or uncertainties in the process model, which makes it difficult to find a solution adequate, which means, that it is robust or insensitive to such disturbances and / or uncertainties. The control by sliding modes (SM), proposed in the 60s by Emelianov and V. Utkin, is a well-known strategy to make control of disturbances or uncertainties insensitive coupled, if the relative degree of the slip variable is one. The sliding modes of higher order (HOSM), proposed in the 80s by A. Levant, extend the idea to the case of degree arbitrary relative. An analysis and design methodology of HOSM algorithms by using explicit Lyapunov functions.
This discussion will present the advantages of using HOSM for the observation and control of uncertain systems, will show some classic algorithms and other new control algorithms and observation and the approach to Lyapunov will be presented for analysis and design. Finally, there will be a discussion about some of the many open problems in the area.