L. Asselborn and O. Stursberg, “Probabilistic Control of Switched Linear Systems with Chance Constraints,” in 2016 European Control Conference (ECC), vol. 2016, Institute of Electrical and Electronics Engineers, Ed. Piscataway, NJ: IEEE, 2016, pp. 2041–2047.

Abstract

This paper proposes an approach to algorithmically synthesize control strategies for set-to-set transitions of uncertain discrete-time switched linear systems based on reachable set computations in a stochastic setting. The initial state and disturbances are assumed to be normally distributed, and a time-variant hybrid control law stabilizes the system towards a goal set. The algorithmic solution computes sequences of discrete states via tree search, and the continuous controls are obtained from solving embedded semi-definite programs (SDP). These programs take polytopic input constraints as well as time-varying probabilistic state constraints into account. An example for demonstrating the principles of the solution procedure with focus on handling the chance constraints is included.

BibTex

@INPROCEEDINGS{AS16a,
 AUTHOR={L. Asselborn and O. Stursberg},
 TITLE={{Probabilistic Control of Switched Linear Systems with Chance Constraints}},
 BOOKTITLE={Proc. European Control Conf.},
 YEAR={2016},
 PAGES={2041-2047},
 COMMENT={noch nicht gemeldet, ISBN: ?, ? Normseiten}}

URL

https://ieeexplore.ieee.org/document/7810592