Title
H<sub>2</sub> Output-Feedback Cluster Control for Continuous Semi-Markov Jump Linear Systems With Erlang Dwell Times
Abstract
This letter addresses the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal {H}_{2}$ </tex-math></inline-formula> 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.
Year
DOI
Venue
2023
10.1109/LCSYS.2022.3185976
IEEE Control Systems Letters
Keywords
DocType
Volume
Stochastic systems,semi-Markov jump linear systems,H₂ control
Journal
7
ISSN
Citations 
PageRank 
2475-1456
0
0.34
References 
Authors
4
4
Name
Order
Citations
PageRank
M. Souza100.34
M. De Almeida200.34
A. R. Fioravanti300.34
O. L. V. Costa400.34