Control and state estimation for max-plus linear systems

L Hardouin, B Cottenceau, Y Shang… - … and Trends® in …, 2018 - nowpublishers.com
Max-plus linear systems theory was inspired by and originated from classical linear systems
theory more than three decades ago, with the purpose of dealing with nonlinear …

Parametric transformation of timed weighted marked graphs: Applications in optimal resource allocation

Z He, Z Ma, Z Li, A Giua - IEEE/CAA Journal of Automatica …, 2020 - ieeexplore.ieee.org
Timed weighted marked graphs are a subclass of timed Petri nets that have wide
applications in the control and performance analysis of flexible manufacturing systems. Due …

Min-plus realizable control design for partially observable timed event graphs under marking constraints

K Tebani, S Amari - European Journal of Control, 2021 - Elsevier
This paper deals with a control problem of discrete event systems subject to capacity
constraints. Combined use of timed event graphs and Min-Plus algebra is a well-known …

Observer-based controllers for max-plus linear systems

L Hardouin, Y Shang, CA Maia… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Max-plus algebra is a suitable algebraic setting to model discrete event systems involving
synchronization and delay phenomena which are often found in transportation networks …

Justifying the actuator type selection for the flow-line conveyor system with vibration-assisted transportation of bulk material

Y Kharitonov, P Vasilyev, Y Bebikhov, A Egorov… - Transportation Research …, 2022 - Elsevier
Vibratory feeders are widespread in the production processes of mining companies. For this
reason, optimized design and fine-tuned operation of a flow-line conveyor system feeding …

Performance optimization for timed weighted marked graphs under infinite server semantics

Z He, Z Li, A Giua - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
This paper deals with the performance optimization of resource allocation systems with the
aim of maximizing the system's throughput under a given budget for acquiring resources …

Performance evaluation of an emergency call center: tropical polynomial systems applied to timed petri nets

X Allamigeon, V Bœuf, S Gaubert - Formal Modeling and Analysis of Timed …, 2015 - Springer
We analyze a timed Petri net model of an emergency call center which processes calls with
different levels of priority. The counter variables of the Petri net represent the cumulated …

Performance Optimization for a Class of Petri Nets

W Shi, Z He, C Gu, N Ran, Z Ma - Sensors, 2023 - mdpi.com
Petri nets (PNs) are widely used to model flexible manufacturing systems (FMSs). This paper
deals with the performance optimization of FMSs modeled by Petri nets that aim to maximize …

Weight-balanced timed event graphs to model periodic phenomena in manufacturing systems

B Cottenceau, L Hardouin… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Timed event graphs (TEGs) are suitable to model manufacturing systems in which
synchronization and delay phenomena appear. Since 1980s, TEGs are studied as a class of …

Vibrating feeder electromagnetic drive model implemented in MatLab/Simulink

A Semenov, M Semenova, Y Bebikhov… - 2021 International …, 2021 - ieeexplore.ieee.org
This study develops a mathematical model of an electromagnetic drive using mathematical
modeling in MatLab/Simulink app. The analysis methods include theoretical studies of …