Control and robustness analysis for (max,+)-linear systems

Control and Robustness Analysis for (max,+)-linear Systems

This paper deals with controller synthesis for (max,+) linear system. It aims at comparing the performances and the robustness of two control strategies introduced in (Cottenceau et al., 2001) and (Maia et al., 2003) respectively. In both strategies, the influences of the possible mismatches between the system and its model are analyzed. This work shows that the control strategy using simultane...

Control of (max, +)-linear systems minimizing delays

In this paper, we develop a new control technique for discrete event dynamic systems subject to synchronization phenomena. We propose a feedback controller for (max,+)-linear systems which delays input events as little as possible while constraints on internal or output events are satisfied. The synthesis is mainly based on new results about fixed points of antitone (i.e., order reversing) mapp...

Finite-Horizon Min-Max Control of Max-Plus-Linear Systems

In this note, we provide a solution to a class of finite-horizon min–max control problems for uncertain max-plus-linear systems where the uncertain parameters are assumed to lie in a given convex and compact set, and it is required that the closed-loop input and state sequence satisfy a given set of linear inequality constraints for all admissible uncertainty realizations. We provide sufficient...

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

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 ...