Model Predictive Control for Discrete-Event Systems with Soft and Hard Synchronization Constraints

Reference

B. De Schutter and T. van den Boom, "Model predictive control for discrete-event systems with soft and hard synchronization constraints," Proceedings of the Workshop on Max-Plus Algebras and Their Applications to Discrete-Event Systems, Theoretical Computer Science, and Optimization, Prague, Czech Republic, 6 pp., Aug. 2001.

Abstract

Max-plus-linear models can be used to model discrete-event systems with only synchronization and no concurrency. The synchronization constraints in max-plus-linear discrete-event systems are hard, i.e., they cannot be broken under any circumstance. We consider a class of discrete-event systems with both hard and soft synchronization constraints, i.e., if necessary, some synchronization conditions may be broken, but then a penalty is incurred. We show that - after introducing control variables - this leads to a max-plus-bilinear model. Furthermore, we also show how the model predictive control (MPC) framework can be extended to this class of discrete-event systems.

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BibTeX

@inproceedings{DeSvan:00-20,
   author    = {De Schutter, Bart and van den Boom, Ton},
   title     = {Model Predictive Control for Discrete-Event Systems with Soft
                and Hard Synchronization Constraints},
   booktitle = {Proceedings of the Workshop on Max-Plus Algebras and Their
                Applications to Discrete-Event Systems, Theoretical Computer
                Science, and Optimization},
   address   = {Prague, Czech Republic},
   month     = aug,
   year      = {2001}
   }


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