Generalized Super-Twisting Observer for nonlinear systems

I. Salgado, I. Chairez., J. Moreno, L. Fridman, A. Poznyak

Research output: Contribution to conferencePaper

10 Scopus citations


In this paper it is proposed a novel Lyapunov based design of a generalized Super-Twisting Observer for a class of 2-dimensional nonlinear system. The observer can deal with systems whose states are composed of bounded nonlineaer functions.This is the main difference with the classical Super-Twisting observer, in which the second state is only the derivative of the first state. Working with a Strong Lyapunov Function it can be shown sufficient conditions to properly choose the observer gains to ensure finite time convergence to the real states. The observer is tested in a mathematical model regarding to the reduced Glucose-Insulin process. The numerical results have shown a better performance of the observer with lineal compensators in comparison to the classical Super-Twisting Observer. The gains for the observer are designed in order to compensate a more general class of perturbations that appear in the suggested glucose-insuline nonlinear model. © 2011 IFAC.
Original languageAmerican English
Number of pages12917
StatePublished - 1 Jan 2011
EventIFAC Proceedings Volumes (IFAC-PapersOnline) -
Duration: 1 Dec 2011 → …


ConferenceIFAC Proceedings Volumes (IFAC-PapersOnline)
Period1/12/11 → …


Cite this

Salgado, I., Chairez., I., Moreno, J., Fridman, L., & Poznyak, A. (2011). Generalized Super-Twisting Observer for nonlinear systems. 14353-14358. Paper presented at IFAC Proceedings Volumes (IFAC-PapersOnline), .