Title
Stochastic Model Predictive Control For Linear Systems Using Probabilistic Reachable Sets
Abstract
In this paper, we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in analogy to robust MPC using a constraint tightening based on the concept of probabilistic reachable sets, which is shown to provide closed-loop fulfillment of chance constraints under a unimodality assumption on the disturbance distribution. A control scheme reverting to a backup solution from a previous time step in case of infeasibility is proposed, for which an asymptotic average performance bound is derived. Two examples illustrate the approach, highlighting closed-loop chance constraint satisfaction and the benefits of the proposed controller in the presence of unmodeled disturbances.
Year
DOI
Venue
2018
10.1109/CDC.2018.8619554
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
DocType
Volume
ISSN
Conference
abs/1805.07145
0743-1546
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Lukas Hewing1254.27
Melanie Nicole Zeilinger229830.91