A Compositional Model for Multi-Rate Max-Plus Linear Systems

A stabilizing model predictive controller for uncertain max-plus-linear systems and uncertain switching max-plus-linear systems ⋆

We first discuss conditions for stability for uncertain max-plus-linear systems and for uncertain switching max-plus-linear systems, where in the uncertainty description the system matrices live in a union of polyhedra. Based on the newly derived stability conditions, a stabilizing model predictive controller is derived for both uncertain max-plus-linear systems and uncertain switching max-plus...

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

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....

Stable Model Predictive Control for Constrained Max-Plus-Linear Systems

Discrete-event systems with synchronization but no concurrency can be described by models that are “linear” in the max-plus algebra, and they are called max-plus-linear (MPL) systems. Examples of MPL systems often arise in the context of manufacturing systems, telecommunication networks, railway networks, parallel computing, etc. In this paper we provide a solution to a finite-horizon model pre...

Model predictive control for perturbed max-plus-linear systems

If you want to cite this report, please use the following reference instead: T.J.J. van den Boom and B. De Schutter, " Model predictive control for perturbed max-plus-linear systems, " Abstract 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 ...