Modelling and control of discrete event systems using switching max-plus-linear systems

Modelling and control of discrete event systems using switching max-plus-linear systems

In this paper we consider the modelling and control of discrete event systems using switching max-plus-linear systems. In switching max-plus-linear systems we can switch between different modes of operation. In each mode the discrete event system is described by a max-plus-linear state equation with different systemmatrices for each mode. The switching allows us to change the structure of the s...

Model predictive control for max-plus-linear discrete event systems

Model predictive control for max-plus-linear discrete event systems * B. De Schutter and T. van den Boom If you want to cite this report, please use the following reference instead: B. De Schutter and T. van den Boom, " Model predictive control for max-plus-linear discrete event systems, " The conventional model predictive control framework is extended and adapted to max-plus-linear systems, i....

Max-plus algebra and max-plus linear discrete event systems: An introduction

We provide an introduction to the max-plus algebra and explain how it can be used to model a specific class of discrete event systems with synchronization but no concurrency. Such systems are called max-plus linear discrete event systems because they can be described by a model that is “linear” in the max-plus algebra. We discuss some key properties of the max-plus algebra and indicate how thes...

Model predictive control for stochastic switching max-plus-linear systems

Adaptive model predictive control for max-plus-linear discrete event input-output systems

Model predictive control (MPC) is a popular controller design technique in the process industry. Conventional MPC uses linear or nonlinear discrete-time models. Recently, we have extended MPC to a class of discrete event systems that can be described by a model that is “linear” in the max-plus algebra. In our previous work we have considered MPC for the time-invariant case. In this paper we con...