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H2 Output-Feedback Cluster Control for Continuous Semi-Markov Jump Linear Systems With Erlang Dwell Times | IEEE Journals & Magazine | IEEE Xplore

H2 Output-Feedback Cluster Control for Continuous Semi-Markov Jump Linear Systems With Erlang Dwell Times


Abstract:

This letter addresses the \mathcal {H}_{2} output-feedback control problem for continuous-time semi-Markov jump linear systems (S-MJLS) with Erlang dwell times. To th...Show More

Abstract:

This letter addresses the \mathcal {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.
Published in: IEEE Control Systems Letters ( Volume: 7)
Page(s): 109 - 114
Date of Publication: 24 June 2022
Electronic ISSN: 2475-1456

Funding Agency:


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