Modelling and Performance Evaluation of DES - A Max-Plus Algebra Toolbox for Matlab
نویسندگان
چکیده
This paper discusses the usefulness of (max, +) algebra as a mathematical modelling framework for discrete event systems (DESs). A Max-Plus Algebra Toolbox developed at Lehrstuhl für Systemtheorie technischer Prozesse is presented. This software package is a set of functions to take advantage of the (max, +) algebra in the Matlab environment for rapid prototyping, design, and analysis of DESs. An overview of the modelling and analysis concepts of the (max, +) algebra approach for DES is given. Application examples are provided in the final part of the paper to illustrate the potential of this approach and the toolbox.
منابع مشابه
Computer Tools For Linear Systems Over Max-Plus Algebra
The dynamics analysis for linear systems described by state-space representations in max-plus algebra is addressed within the context of the software facilities offered by the Petri Net Toolbox (PN Toolbox) running under MATLAB. By developing this toolbox, the application field of the MATLAB environment (extremely popular among control engineers) is considerably enlarged towards covering event ...
متن کاملMax-Plus algebra on tensors and its properties
In this paper we generalize the max plus algebra system of real matrices to the class of real tensors and derive its fundamental properties. Also we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverses of tensors is characterized.
متن کاملScaling, Modeling and Traffic Control of a Real Railway Network using Max-plus Algebra and Model Predictive Control
Delay time recovery can increase the efficiency of the railway network and increase the attractiveness of railway transport against other transportation systems. This article presents a new dynamical model of railway system. The proposed model is a discrete event systems that is defined based on the deviation of travel time and deviation of stop time of trains. Due to the existence of multiple ...
متن کاملModelling and Performance Evaluation of Solar Powered PMBLDC Drive System in MATLAB/Simulink Atmosphere
This project deals with modelling and performance evaluation of solar powered BMBLDC drive systems using MATLAB and its toolbox SIMULINK. The system consist of mathematical model of photo voltaic source, boost converter, BLDC motor, inverter, current controller an speed/torque controller is used for proposed model of solar powered PMBLDC drive system. The motor is controlled through a hysteresi...
متن کاملModelling and Control of Computational Processes Using Max-plus Algebra
In this paper we propose a modelling technique for the control of computational processes. The Petri Net model, particularly a Timed Event Graph (TEG) can be used for analyzing. The proposed model enables the determination of state equations. The max-plus algebra represents linear algebraic form of discrete systems and supplies new tools to their modelling. We develop a linear mathematical mode...
متن کامل