Interval analysis and dioid: application to robust controller design for timed event graphs

Interval analysis and dioid: application to robust controller design for timed event graphs

This paper deals with feedback controller synthesis for timed event graphs, where the number of initial tokens and time delays are only known to belong to intervals. We discuss here the existence and the computation of a robust controller set for uncertain systems that can be described by parametric models, the unknown parameters of which are assumed to vary between known bounds. Each controlle...

Robust controller design for timed event graphs in dioids

This paper deals with feedback controller synthesis for timed event graphs in dioids, where the number of initial tokens and time delays are only known to belong to intervals. The synthesis presented here is mainly based on dioid, interval analysis and residuation theory. keyword Discrete-event systems ; Timed event graphs ; Dioid ; Interval analysis ; Residuation theory ; Feedback synthesis

Synthesis of greatest linear feedback for timed-event graphs in dioid

Using Interval Petri Nets and Timed Automata for Diagnosis of Discrete Event Systems (DES)

A discrete event system (DES) is a dynamic system that evolves in accordance with the abrupt occurrence, at possibly unknown irregular intervals, of physical events. Because of the special nature of these systems, different tools are currently used for their analysis, design and modeling. The main focus of this paper is the presentation of a new modeling approach of Discrete Event Systems. The ...

From DIOID Algebra to P-Time Event Graphs

Abstract: The (max,+) algebra is usually used to model Timed event graph. In this paper, we show that P-time event graphs which extend Timed event graph, can be modelled using maximum, minimum and addition operations. The result is a new model called interval descriptor system where the time evolution is not strictly deterministic but belongs to intervals. The cycle-time vector allows us to to ...