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Singular perturbation theory in control of nonlinear systems with uncertainties

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2016Publisher:IEEEJournal:2016 24th Iranian Conference on Electrical Engineering (ICEE)

Authors: Mehrnoosh Asadi; Alireza Khayatian;

doi: 10.1109/iraniancee.2016.7585833

Singular perturbation theory in control of nonlinear systems with uncertainties

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Abstract

In this paper, a control approach is proposed for stabilization of nonlinear systems in the presence of both matched and unmatched uncertainties. By combining the time scale separation and backstepping, first, high-gain filters are designed to estimate the uncertainties, and then, a fast dynamical equation is derived which the solution is found to approximate the ideal virtual/actual control inputs. In this approach the problem of “explosion of complexity” caused by the traditional backstepping technique is eliminated. Finally, the simulation results are provided to show the effectiveness of the proposed approach.

Related Organizations

Shiraz University
Iran (Islamic Republic of)
University of Shahrood
Iran (Islamic Republic of)

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