Robust Fault Detection H-infinity Filter for Markovian Jump Linear Systems

Author(s)

Carvalho, Leonardo de Paula ; de Oliveira, Andre Marcorin ; do Valle Costa, Oswaldo Luiz ; IEEE

• Document type: Journal article
• Source: 2018 EUROPEAN CONTROL CONFERENCE (ECC); v. N/A, p. 6-pg., 2018-01-01.

Abstract

This paper studies the robust fault detection problem associated with Markovian Jump Linear Systems (MJLS) in the discrete-time domain. The approach presented consists in using a MJLS filter as a residual generator designed via Linear Matrix Inequalities (LMI) and formulated as an H-infinity filter problem. We tackle three situations: designing an H-infinity filter that depends on the Markov mode; the so-called mode-independent case; and the design of robust H-infinity filters in the sense that the system matrices are uncertain. A numerical example is presented in order to illustrate the feasibility of the proposed solution. (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: 17/06358-5 - Control of Markov jump linear systems with partial information of the Markov mode
• Grantee: André Marcorin de Oliveira
• Support Opportunities: Scholarships abroad - Research Internship - 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