H infinity Integrated Fault Estimation and Fault Tolerant Control of Discrete-time Piecewise Linear Systems

Seyed Mojtaba Tabatabaeipour, Thomas Bak

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

3 Citations (Scopus)

Abstract

In this paper we consider the problem of fault estimation and accommodation for discrete time piecewise linear systems. A robust fault estimator is designed to estimate the fault such that the estimation error converges to zero and H∞ performance of the fault estimation is minimized. Then, the estimate of fault is used to compensate for the effect of the fault. Hence, using the estimate of fault, a fault tolerant controller using a piecewise linear static output feedback is designed such that it stabilizes the system and provides an upper bound on the H∞ performance of the faulty system. Sufficient conditions for the existence of robust fault estimator and fault tolerant controller are derived in terms of linear matrix inequalities. Upper bounds on the H∞ performance can be minimized by solving convex optimization problems with linear matrix inequality constraints. The efficiency of the method is demonstrated by means of a numerical example.
Original languageEnglish
Title of host publicationControl Applications (CCA), 2012 IEEE International Conference on
PublisherIEEE Press
Publication date2012
Pages1680-1685
ISBN (Print)978-1-4673-4503-3
ISBN (Electronic)978-1-4673-4504-0
DOIs
Publication statusPublished - 2012
SeriesI E E E International Conference on Control Applications. Proceedings
ISSN1085-1992

Keywords

  • fault estimation
  • fault diagnosis
  • piecewise affine systems
  • H infinity control
  • Fault tolerant control

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