Optimization of hybrid Petri nets with shared variables
Paper in proceedings, 2015

A generalized modeling framework for hybrid systems, including both discrete event and continuous-time dynamics, is presented in this paper. It is based on a new type of hybrid Petri nets, involving both modular structures, discrete shared variables and flexible transition predicates. The continuous-time dynamics is given by local differential equations, in a style similar to hybrid automata. This can be compared with existing hybrid Petri nets, where also the continuous-time dynamics is represented graphically, but then in reality limiting the continuous-time behavior to simple flow processes. The hybrid Petri net proposed in this paper works well for any type of continuous-time dynamics, including even differential inclusions, and the result is a compact, flexible and readable mix of graphical and equation based representations. The proposed modeling framework is also applied to a physical robot cell, where the energy consumption of the robot motions is minimized based on a hybrid Petri net model, easily transformed to a mixed integer nonlinear programming problem. The resulting optimization procedure is shown to reduce the energy consumption of the real robot cell by approximately 50%.

Discrete events

Petri nets

robot stations

energy optimization

hybrid systems


Bengt Lennartson

Chalmers, Signals and Systems, Systems and control, Automation

Kristofer Bengtsson

Chalmers, Signals and Systems, Systems and control, Automation

Oskar Wigström

Chalmers, Signals and Systems, Systems and control, Automation

11th IEEE International Conference on Automation Science and Engineering, CASE 2015, Gothenburg, Sweden, 24-28 August 2015

2161-8089 (eISSN)


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