Hierarchical second-order sliding-mode observer for linear systems with unknown inputs

L. Fridman, A. Poznyak, F. J. Bejarano

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

The problem of observability for systems with unknown inputs is revised. The sufficient and necessary conditions are used for the design an observer for linear systems with bounded unknown inputs. To realize the observation of the state, a second order sliding mode observer is suggested. Such observer provides a robust estimate of the state vector in a finite time. The design is based on the concept of the hierarchical output injection maintaining a value of zero for output tracking error at each level of the hierarchy. The equivalent control is used to identify the unknown inputs, which can be used as a contribution concerning the problem of fault detection. A numerical example illustrates the effectiveness of the suggested technique.

Original languageEnglish
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5561-5566
Number of pages6
ISBN (Print)1424401712, 9781424401710
DOIs
StatePublished - 2006
Externally publishedYes
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: 13 Dec 200615 Dec 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference45th IEEE Conference on Decision and Control 2006, CDC
Country/TerritoryUnited States
CitySan Diego, CA
Period13/12/0615/12/06

Keywords

  • Identification
  • Observation
  • Sliding modes

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