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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Suboptimal H-2 and H-infinity static output feedback control of hidden Markov jump linear systems

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Author(s):
de Oliveira, Andre Marcorin [1] ; do Valle Costa, Oswaldo Luiz [1] ; Daafouz, Jamal [2]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Escola Politecn, Dept Engn Telecomunicacoes & Controle, BR-05508010 Sao Paulo, SP - Brazil
[2] Univ Lorraine, CRAN, CNRS, F-54000 Nancy - France
Total Affiliations: 2
Document type: Journal article
Source: European Journal of Control; v. 51, p. 10-18, JAN 2020.
Web of Science Citations: 0
Abstract

In this work we study the design of H-2, H-infinity, and mixed H-2/H-infinity static output feedback controllers for Markov jump linear systems in a context of partial information. We assume that the controller has only access to an observable variable that plays the role of a detector of the jump process. We present suboptimal conditions based on the so-called two step procedure in order to design static output feedback controllers that depend only on the detector such that the closed-loop system is stochastically stable and its H-2 or/and H-infinity norms are bounded. We also investigate the robust control case, in which the system matrices and transition probabilities are uncertain. An iterative algorithm that guarantees a non-increasing sequence of optimized costs is presented. Our results are illustrated by a numerical example in the context of systems subject to failures in which we show that the inherent conservatism of the mixed H-2/H-infinity control and the two step procedure can be improved by the proposed method. (C) 2019 European Control Association. Published by Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
Grantee:Julio Romano Meneghini
Support type: 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 type: Scholarships in Brazil - Post-Doctorate
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 type: Research Projects - Thematic Grants