Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
712249 | IFAC-PapersOnLine | 2015 | 7 Pages |
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.
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