Particle filters for max plus systems

The main objective of this article is to synthesize a particle filter algorithm for max-plus systems. It is presented a brief introduction to the max-plus approach for Discrete Event Systems. Next, the fundamentals of the particle filter and the way in which they can be applied to max-plus systems are presented. It leads to the algorithm for particles filtering. Lastly, some examples are given. The results shows the accuracy of the method and the improvements in comparison with the deterministic observer.