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Kokotovic, P., Khalil, H.K. and O’Reilly, J. (1999) Singular Perturbation Methods in Control, Analysis and Design. Society for Industrial and Applied Mathematics, Academic Press, Philadelphia.
https://doi.org/10.1137/1.9781611971118

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.