L. Asselborn and O. Stursberg, “Robust Control of Uncertain Switched Linear Systems Based on Stochastic Reachability,” 5th IFAC Conf. on Analysis and Design of Hybrid Systems-Tagungsband, vol. 48, no. 27, pp. 310–316, 2015.
Abstract
This paper proposes an approach to algor it hmically synthesize control strategies for set-to-set transitions of uncertain discrete-time switched linear systems based on a combination of tree search and 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 hybrid control laws are computed by using principles of the ellipsoidal calculus. The proposed algorithm iterates over sequences of the discrete states and LMI-constrained semi-definite programming (SDP) problems to compute stabilizing controllers, while polytopic input constraints are considered. An example for illustration is included.
BibTex
@INPROCEEDINGS{AS15b,
AUTHOR={L. Asselborn and O. Stursberg},
TITLE={{Robust Control of Uncertain Switched Linear Systems Based on Stochastic Reachability}},
BOOKTITLE={5th IFAC Conf. on Analysis and Design of Hybrid Systems},
YEAR={2015},
PAGES={310-316},
COMMENT={noch nicht gemeldet, ISBN: ?, ? Normseiten}}
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