Max-plus-linear (MPL) systems are a class of event-driven nonlinear dynamic systems that can be described by models that are "linear" in the max-plus algebra. In this paper we derive a solution to a finite-horizon model predictive control (MPC) problem for MPL systems where the cost is designed to p
Model predictive control for perturbed max-plus-linear systems
โ Scribed by T.J.J. van den Boom; B. De Schutter
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 165 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0167-6911
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โฆ Synopsis
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; +) algebra. In our previous work, we have only considered MPC for the deterministic noise-free case without modeling errors. In this paper, we extend our previous results on MPC for max-plus-linear systems to cases with noise and=or modeling errors. We show that under quite general conditions the resulting optimization problems can be solved very e ciently.
๐ SIMILAR VOLUMES
Max-plus algebra Feedback control a b s t r a c t This paper deals with the control of discrete event systems subject to synchronization and time delay phenomena, which can be described by using the max-plus algebra. The objective is to design a feedback controller to guarantee that the system evolv