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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.)

ynamic output feedback control for continuous-time Markov jump linear systems with hidden Markov model

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Author(s):
de Oliveira, A. M. [1] ; Costa, V, O. L. ; Fragoso, M. D. [2] ; Stadtmann, F. [3]
Total Authors: 4
Affiliation:
[1] Fed Univ Sao Paulo UNIFESP, Inst Sci & Technol, Av Cesare Mansueto Giulio Lattes 1201, BR-12247014 Sao Jose Dos Campos, SP - Brazil
[2] Natl Lab Sci Comp LNCC MCTIC, Petropolis, RJ - Brazil
[3] Costa, O. L., V, Univ Sao Paulo, Dept Engn Telecomunicacoes & Controle, Escola Politecn, Sao Paulo, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: International Journal of Control; v. 95, n. 3, p. 716-728, MAR 4 2022.
Web of Science Citations: 8
Abstract

In this work, we study the design of dynamic output feedback controllers for continuous-time Markov jump linear systems in the worst-case scenario of partial observation of both, the Markov chain and the state, through an iterative method. We assume that the controller has only access to the output of a fault-detection and isolation device and present design conditions for the H-2, `H-infinity, and mixed H-2/'H-infinity controller that switches according only to the detector. As a by-product of our formulation, we are also able to design mode-dependent and independent controllers, and briefly discuss the design of filters depending on the detector. The results are given in terms of bilinear matrix inequalities that allow for an iterative separation procedure method in which in each step, we solve a linear matrix inequality problem. We also present an illustrative example in the context of systems subject to faults. (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 - Applied Research Centers 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-Doctoral