Observers,Reachability and Stochastic Filtering Problems in Max-Plus Systems

• Grant number: 15/19384-9
• Support Opportunities: Scholarships abroad - Research
• Start date: January 11, 2016
• End date: January 10, 2017
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Principal Investigator: Rafael Santos Mendes
• Grantee: Rafael Santos Mendes
• Host Investigator: Hardouin Laurent
• Host Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Université d'Angers, France

Abstract

This work proposes the study of three aspects concerning state knowledge in Max-Plus Linear (MPL)Systems: reachability, observer design and stochastic filtering.This document briefly analyses the problems of state reachability and stochasticfiltering in MPL systems showing how they can be related. Recent results concerningthe reachability problem will be considered, aiming its application to the stochasticfiltering problem. Contributions of the study of observers design to the filteringproblem will as well be considered.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FERREIRA CANDIDO, RENATO MARKELE; HARDOUIN, LAURENT; LHOMMEAU, MEHDI; MENDES, RAFAEL SANTOS. Conditional reachability of uncertain Max Plus Linear systems. AUTOMATICA, v. 94, p. 426-435, AUG 2018. (15/19384-9)

MENDES, RAFAEL SANTOS; HARDOUIN, LAURENT; LHOMMEAU, MEHDI. Stochastic Filtering of Max-Plus Linear Systems With Bounded Disturbances. IEEE Transactions on Automatic Control, v. 64, n. 9, p. 3706-3715, SEP 2019. (15/19384-9)