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Robust Fault Detection H-infinity Filter for Markovian Jump Linear Systems with Partial Information on the Jump Parameter

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Author(s):
Carvalho, Leonardo de Paula ; de Oliveira, Andre Marcorin ; do Valle Costa, Oswaldo Luiz
Total Authors: 3
Document type: Journal article
Source: IFAC PAPERSONLINE; v. 51, n. 25, p. 6-pg., 2018-01-01.
Abstract

The present work focus on the Robust Fault Detection (RFD) problem in the Markovian Jump Linear System framework for the discrete-time domain, in which the Markov parameter theta(k) is considered not accessible. The assumption that the Markov Chain is not accessible brings a challenge where the filter designed for the RFD should not be dependent on the Markov Chain parameter. In order to represent this kind of situation, the implementation of a Hidden Markov Chain to model the system mode theta(k) and the estimated mode theta(k) is used. The main result presented in this work is the design of a H-infinity MJLS Robust Fault Detection filter that depends only on the estimated mode theta(k) obtained through LMI formulation. In order to illustrate the feasibility of the proposed solution a numerical example is also included. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 15/09912-8 - Estimating and control of Markov jump linear systems with partial observation of the operation mode
Grantee:André Marcorin de Oliveira
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
Grantee:Julio Romano Meneghini
Support Opportunities: Research Grants - Research Centers in Engineering Program
FAPESP's process: 14/50851-0 - INCT 2014: National Institute of Science and Technology for Cooperative Autonomous Systems Applied in Security and Environment
Grantee:Marco Henrique Terra
Support Opportunities: Research Projects - Thematic Grants