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.
Publisher page
Downloads
Addendum
- 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))
BibTeX
@article{DeSvan:02-004,
author = {De Schutter, Bart and van den Boom, Ton J. J.},
title = {{MPC} for Continuous Piecewise-Affine Systems},
journal = {Systems \& Control Letters},
volume = {52},
number = {3--4},
pages = {179--192},
month = jul,
year = {2004}
}