**Reference:**

T. van den Boom and
B. De Schutter,
"Model predictive control for switching max-plus-linear systems with
random and deterministic switching," *Proceedings of the 17th IFAC
World Congress*, Seoul, Korea, pp. 7660-7665, July 2008.

**Abstract:**

Switching max-plus-linear (SMPL) systems are discrete event systems
that can switch between different modes of operation. In each mode the
system is described by a max-plus-linear state equation and a
max-plus-linear output equation, with different system matrices for
each mode. The switching may depend on input and state, or it may be a
stochastic process. We derive a stabilizing model predictive
controller for SMPL systems with both deterministic and stochastic
switching. In general, the optimization in the MPC algorithm boils
down to a nonlinear optimization problem, where the cost criterion is
piecewise polynomial on polyhedral sets and the inequality constraints
are linear.

Online version of the paper

Corresponding technical report: pdf file (171 KB)

@inproceedings{vanDeS:07-038,

author={T. van den Boom and B. {D}e Schutter},

title={Model predictive control for switching max-plus-linear systems with random and deterministic switching},

booktitle={Proceedings of the 17th IFAC World Congress},

address={Seoul, Korea},

pages={7660--7665},

month=jul,

year={2008},

doi={10.3182/20080706-5-KR-1001.01295}

}

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