Article citationsMore>>

Alvarez-Gallegos, J. and Silva-Navarro, G. (1997) Two-Time Scale Sliding Mode Control for a Class of Nonlinear Systems. International Journal of Robust and Nonlinear Control, 7, 865-879.
https://doi.org/10.1002/(SICI)1099-1239(199709)7:9%3C865::AID-RNC240%3E3.0.CO;2-0

has been cited by the following article:

• TITLE: Sliding Mode Control for Singularly Perturbed Systems Using Accurate Reduced Model

  AUTHORS: Ayman E. M. Ahmed, Mohamed Zohdy

  KEYWORDS: Singular Perturbation, Sliding Mode Control, Diagonalization Method

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.10 No.1, March 5, 2021

  ABSTRACT: In order to deal with unmodeled dynamics in large vehicle systems, which have an ill condition of the state matrix, the use of model order reduction methods is a good approach. This article presents a new construction of the sliding mode controller for singularly perturbed systems. The controller design is based on a linear diagonal transformation of the singularly perturbed model. Furthermore, the use of a single sliding mode controller designed for the slow component of the diagonalized system is investigated. Simulation results indicate the performance improvement of the proposed controllers.