On the control of max-plus linear system subject to state restriction

CA Maia, CR Andrade, L Hardouin - Automatica, 2011 - Elsevier
This paper deals with the control of discrete event systems subject to synchronization and
time delay phenomena, which can be described by using the max-plus algebra. The …

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 …

Performance safety enforcement in strongly connected timed event graphs

Z He, Z Ma, W Tang - Automatica, 2021 - Elsevier
In this paper, we tackle the performance safety enforcing problem in plants modeled by
timed event graphs that are a subclass of timed Petri nets. We assume that a malicious …

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 …

An integrated control strategy to solve the disturbance decoupling problem for max-plus linear systems with applications to a high throughput screening system

Y Shang, L Hardouin, M Lhommeau, CA Maia - Automatica, 2016 - Elsevier
This paper presents the new investigations on the disturbance decoupling problem (DDP)
for the geometric control of max-plus linear systems. The classical DDP concept in the …

Modeling and control of high-throughput screening systems

T Brunsch, J Raisch, L Hardouin - Control Engineering Practice, 2012 - Elsevier
In previous work it has been shown how a max-plus algebraic model can be derived for
cyclically operated high-throughput screening systems and how such a model can be used …

Feedback control to guarantee marking constraints in timed event graphs including disturbances: Application to disassembly systems

S Bouazza, S Amari, H Hassine, M Barkallah… - European Journal of …, 2024 - Elsevier
This paper addresses the control problem of Timed Event Graphs (TEGs) with disturbance
transitions, which are subject to marking constraints. In these graphical models …

Analytical methods for controlling timed event graphs with disturbances and paths subject to marking constraints: application to a disassembly process

S Bouazza, S Amari, H Hassine - International Journal of Control, 2024 - Taylor & Francis
This paper proposes analytical approaches to solve the problem of generalised marking
constraints enforced on partially controllable and observable timed event graphs. For this …

A super-eigenvector approach to control constrained max-plus linear systems

CA Maia, L Hardouin… - 2011 50th IEEE …, 2011 - ieeexplore.ieee.org
The control of timed Petri nets subject to synchronization and time delay phenomena is
addressed in this paper. This class of timed Petri nets can be described by using the max …

Max-plus linear observer: application to manufacturing systems

L Hardouin, CA Maia, B Cottenceau… - IFAC Proceedings …, 2010 - Elsevier
This paper deals with the observer design for max-plus linear systems. The approach is
based on the residuation theory which is suitable to deal with linear mapping inversion in …