Explicit invariant approximation of the mRPI set for LTI dynamics with zonotopic disturbances

Citation:

F. Stoican, Hovd, M., and Olaru, S., “Explicit invariant approximation of the mRPI set for LTI dynamics with zonotopic disturbances”, in 52nd IEEE Conference on Decision and Control, Florence, Italy, 2013, p. 3237-3242.

Date Published:

12/2013

ISBN Number:

978-1-4673-5714-2

Accession Number:

14158239

Abstract:

In this paper we provide a RPI over-approximation of the mRPI set associated for linear dynamics with zonotopic disturbances.We prove that the RPI construction converges toward the mRPI set and its conservatism diminishes monotonically with respect to the complexity of the representation (a “tightness” coefficient is calculated a priori). The results are tested in illustrative examples.

DOI:

10.1109/CDC.2013.6760377