Robust reduced-order sliding mode observer design

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10 Citations (Scopus)

Abstract

In this article, a triple state and output variable transformation-based method combined with linear matrix inequality (LMI) techniques to design a new robust reduced-order sliding mode observer for perturbed linear multiple-input and multiple-output systems is developed. The state and output variables of the original system are triple transformed into suitable canonical form coordinates to facilitate the design of a reduced-order observer. The existing transformations are summarised in this study and presented systematically. A new combined observer configuration is proposed and compared with another type of observers. Global asymptotical stability LMI and sliding mode existence conditions for the coupled observer error system are derived using Lyapunov full quadratic form. Reaching and sliding modes of motion of decoupled observer error system are discussed as well. Two numerical and simulation examples are given to illustrate the usefulness of the proposed design techniques.

Original languageEnglish
Pages (from-to)567-577
Number of pages11
JournalInternational Journal of Systems Science
Volume42
Issue number4
DOIs
Publication statusPublished - Apr 2011

Keywords

  • LMI stability conditions
  • reduced-order observer
  • sliding mode control
  • triple state transformations
  • uncertain dynamical systems

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