Control of max-plus linear systems using feedback cycle shaping

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 Gonsalves 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. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.