H-2/H-infinity Simultaneous Fault Detection and Control for Markov Jump Linear Systems With Partial Observation

Author(s)

Carvalho, Leonardo De Paula ^[1] ; De Oliveira, Andre Marcorin ^[2] ; Costa, Oswaldo Luiz Do Valle ^[1]

Affiliation

^[1] Univ Sao Paulo, Escola Politecn, Dept Engn Telecomunicacoes & Control, BR-05508010 Sao Paulo - Brazil

^[2] UNIFESP, Inst Sci & Technol, BR-12247014 Sao Jose Dos Campos - Brazil

• Document type: Journal article
• Source: IEEE ACCESS; v. 8, p. 11979-11990, 2020.
• Web of Science Citations: 1

Abstract

We focus on the Simultaneous Fault Detection and Control (SFDC) in the context of Markov Jump Linear Systems (MJLS). The main novelty of the paper is the design of H1 and H 2 SFDC under the MJLS framework considering partial observation of the Markov chain. Both designs are obtained via Bilinear Matrix Inequalities optimization problem. As secondary results we provide a Mixed H2/H1 SFDC under the same set up, as well as the implementation of a coordinated descent algorithm to solve the optimization problem formulated as Bilinear Matrix Inequalities (BMI). To illustrate the viability of the proposed solution a numerical example is provided. (AU)

• 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
• 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: 18/19388-2 - Control of linear systems with dynamics subject to Markovian variations and partial information on the Markov parameter
• Grantee: André Marcorin de Oliveira
• Support Opportunities: Scholarships in Brazil - Post-Doctorate