Sliding mode control for singularly perturbed linear continuous time systems: Composite control approaches

Thang Nguyen, Wu Chung Su, Zoran Gajic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations

Abstract

We investigate the problem of sliding mode control for singularly perturbed systems with external disturbances. Although the system can be decoupled into two time-scales in terms of two lower dimensional state vectors, the similar type of decomposition does not hold for the control law and the disturbance. The system decoupling transformation can only decompose the control law and the disturbances into two timescales but not reduce their dimensions. Therefore, only one subsystem is designed to enter the sliding mode. Two composite control approaches are proposed to handle the stability and disturbance rejection problems: state feedback control used to stabilize slow or fast modes and discontinuous control used to deal with the remaining modes. A numerical example of a longitudinal model of an F8 aircraft is provided to illustrate the efficiency of the proposed methods.

Original languageEnglish (US)
Title of host publication2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010
Pages2011-2016
Number of pages6
DOIs
StatePublished - 2010
Event2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010 - Yokohama, Japan
Duration: Sep 8 2010Sep 10 2010

Publication series

NameProceedings of the IEEE International Symposium on Computer-Aided Control System Design

Other

Other2010 IEEE International Symposium on Computer-Aided Control System Design, CACSD 2010
Country/TerritoryJapan
CityYokohama
Period9/8/109/10/10

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Control and Optimization

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