197780
20190812205743.0
CONF
Convex computation of the maximum controlled invariant set for discrete-time polynomial control systems
2013
2013
Conference Papers
We characterize the maximum controlled invariant (MCI) set for discrete-time systems as the solution of an infinite-dimensional linear programming problem. In the case of systems with polynomial dynamics and semialgebraic state and control constraints, we describe a hierarchy of finite-dimensional linear matrix inequality relaxations of this problem that provides outer approximations with guaranteed set-wise convergence to the MCI set. The approach is compact and readily applicable in the sense that the approximations are the outcome of a single semidefinite program with no additional input apart from the problem description.
246186
Korda, Milan
219039
Henrion, Didier
Jones, Colin
IEEE Conference on Decision and Control
Florence, Italy
December 10-13, 2013
688851
http://infoscience.epfl.ch/record/197780/files/mci_outer_conference.pdf
n/a
n/a
252490
LA3
U12397
oai:infoscience.tind.io:197780
STI
conf
GLOBAL_SET
219039
EPFL-CONF-197780
EPFL
REVIEWED
PUBLISHED
CONF