L. Asselborn and O. Stursberg, “Probabilistic Control of Uncertain Linear Systems Using Stochastic Reachability,” 8th IFAC Symposium on Robust Control Design-Tagungsband, vol. 48, no. 14, pp. 167–172, 2015.
Abstract
This paper proposes an approach to algorithmically synthesize control strategies for set-to-set transitions of discrete-time uncertain systems based on reachable set computations in a stochastic setting. For given Gaussian distributions of the initial states and disturbances, state sets wich are reachable to a chosen confidence level under the effect of time-variant control laws are computed by using principles of the ellipsoidal calculus. The proposed algorithm iterates over LMI-constrained semi-definite programming problems to compute probabilistically stabilizing controllers, while ellipsoidal input constraints are considered. An example for illustration is included.
BibTex
@INPROCEEDINGS{AS15a,
AUTHOR={L. Asselborn and O. Stursberg},
TITLE={{Probabilistic Control of Uncertain Linear Systems Using Stochastic Reachability}},
BOOKTITLE={8th IFAC Symposium on Robust Control Design},
YEAR={2015},
PAGES={166-172},
COMMENT={noch nicht gemeldet, ISBN: ?, ? Normseiten}}
URL