MPC for continuous piecewise-affine systems

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.

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 (358 KB)

B. De Schutter and T.J.J. van den Boom, "MPC for continuous piecewise-affine systems - Addendum," Tech. report CSE02-004a, Control Systems Engineering, Fac. of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands, 9 pp., Oct. 2003. (abstract, bibtex, report (pdf))

@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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