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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.)

Mixed H-2/H-infinity control of hidden Markov jump systems

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de Oliveira, A. M. [1] ; Costa, O. L. V. [1]
Total Authors: 2
[1] Univ Sao Paulo, Escola Politecn, Dept Engn Telecomunicacoes & Controle, BR-05508010 Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 28, n. 4, p. 1261-1280, MAR 10 2018.
Web of Science Citations: 14

In this work, we study the mixed H-2/H-infinity control for Markov jump linear systems with hidden Markov parameters. The hidden Markov process is denoted by (theta(k), (theta) over cap (k)), where the nonobservable component theta(k) represents themode of operation of the system, whereas (theta) over cap (k) represents the observable component provided by a detector. The goal is to obtain design techniques for mixed H-2/H-infinity control problems, with the controllers depending only on the estimate (theta) over cap (k), for problems formulated in 3 different forms: (i) minimizing an upper bound on the H-2 norm subject to a given restriction on the H-infinity norm; (ii) minimizing an upper bound on the H-infinity norm, while limiting the H-2 norm; and (iii) minimizing a weighted combination of upper bounds of both the H-2 and H-infinity norms. We propose also new conditions for synthesizing robust controllers under parametric uncertainty in the detector probabilities and in the transition probabilities. The so-called cluster case for the mixed H-2/H-infinity control problem is also analyzed under the detector approach. The results are illustrated by means of 2 numerical examples. (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 type: Scholarships in Brazil - 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
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