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H-2 Output-Feedback Cluster Control for Continuous Semi-Markov Jump Linear Systems With Erlang Dwell Times

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Author(s):
Souza, M. ; De Almeida, M. ; Fioravanti, A. R. ; Costa, O. L. V.
Total Authors: 4
Document type: Journal article
Source: IEEE CONTROL SYSTEMS LETTERS; v. 7, p. 6-pg., 2022-06-24.
Abstract

This letter addresses the H-2 output-feedback control problem for continuous-time semi-Markov jump linear systems (S-MJLS) with Erlang dwell times. To this end, we exploit the fact that any Erlang-distributed variable may be expressed as the sum of exponential random variables to devise a Markov-jump system equivalent to the original S-MJLS. This equivalence allows us to derive finite-dimensional control design conditions for Erlang S-MJLS. Numerical examples illustrate the main features of the results presented in the letter. (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