Virtual estimator for piecewise linear systems based on observability analysis

Cornelio Morales-Morales, Manuel Adam-Medina, Ilse Cervantes, Luis G. Vela-Valdés, Carlos Daniel García Beltrán

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This article proposes a virtual sensor for piecewise linear systems based on observability analysis that is in function of a commutation law related with the system's outpu. This virtual sensor is also known as a state estimator. Besides, it presents a detector of active mode when the commutation sequences of each linear subsystem are arbitrary and unknown. For the previous, this article proposes a set of virtual estimators that discern the commutation paths of the system and allow estimating their output. In this work a methodology in order to test the observability for piecewise linear systems with discrete time is proposed. An academic example is presented to show the obtained results.

Original languageEnglish
Pages (from-to)2735-2749
Number of pages15
JournalSensors (Switzerland)
Volume13
Issue number3
DOIs
StatePublished - Mar 2013
Externally publishedYes

Keywords

  • Commutation law
  • Estimator
  • Observability
  • Piecewise linear system

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