**Reference:**

B. De Schutter and
T.J.J. van den Boom,
"MPC for continuous piecewise-affine systems," *Systems &
Control Letters*, vol. 52, no. 3-4, pp. 179-192, July 2004.

**Abstract:**

A large class of hybrid systems can be described by a
max-min-plus-scaling (MMPS) model (i.e., using the operations
maximization, minimization, addition and scalar multiplication).
First, we show that continuous piecewise-affine systems are equivalent
to MMPS systems. Next, we consider model predictive control (MPC) for
these systems. In general, this leads to nonlinear, nonconvex
optimization problems. We present a new MPC method for MMPS systems
that is based on canonical forms for MMPS functions. In case the MPC
constraints are linear constraints in the inputs only, this results in
a sequence of linear optimization problems such that the MPC control
can often be computed in a much more efficient way than by just
applying nonlinear optimization as was done in previous work.

Online version of the paper

Corresponding technical report: pdf file (198 KB)

@article{DeSvan:02-004,

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

title={{MPC} for continuous piecewise-affine systems},

journal={Systems \& Control Letters},

volume={52},

number={3--4},

pages={179--192},

month=jul,

year={2004},

doi={10.1016/j.sysconle.2003.11.010}

}

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