TY - JOUR
T1 - Control of max-plus linear systems using feedback cycle shaping
AU - Gonçalves, Vinicius Mariano
AU - Krishnamurthy, Prashanth
AU - Tzes, Anthony
AU - Khorrami, Farshad
N1 - Publisher Copyright:
© 2024 Elsevier Ltd
PY - 2025/1
Y1 - 2025/1
N2 - For “Timed Event Graphs”, linear equations can be written in the max-plus algebra that describe the firing dynamics. In some cases, independent events/inputs can be used to influence the system dynamics in order to achieve a desired specification. In this setting, significant attention has been devoted to the mathematical development of controllers that achieve these desired specifications. In this article, a methodology is provided for solving a max-plus linear control problem as an extension of the result in Gonçalves et al. (2017). A condition is provided that induces into the system a periodic behavior in steady state and also shapes the response to comply with the specifications. Furthermore, the controller's causality is addressed.
AB - For “Timed Event Graphs”, linear equations can be written in the max-plus algebra that describe the firing dynamics. In some cases, independent events/inputs can be used to influence the system dynamics in order to achieve a desired specification. In this setting, significant attention has been devoted to the mathematical development of controllers that achieve these desired specifications. In this article, a methodology is provided for solving a max-plus linear control problem as an extension of the result in Gonçalves et al. (2017). A condition is provided that induces into the system a periodic behavior in steady state and also shapes the response to comply with the specifications. Furthermore, the controller's causality is addressed.
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U2 - 10.1016/j.automatica.2024.111980
DO - 10.1016/j.automatica.2024.111980
M3 - Article
AN - SCOPUS:85205912567
SN - 0005-1098
VL - 171
JO - Automatica
JF - Automatica
M1 - 111980
ER -