Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
698113 | Automatica | 2009 | 6 Pages |
Abstract
In this paper, a method to estimate the domain of attraction of a class of discrete-time Lur’e systems is presented. A new notion of invariance, denoted LNL-invariance, is introduced. An algorithm to determinate the largest LNL-invariant set for this class of systems is proposed. Moreover, it is proven that the LNL-invariant sets provided by this algorithm are polyhedral convex sets and constitute an estimation of the domain of attraction of the non-linear system. It is shown that any contractive set for the Lur’e system is contained in the LNL-invariant set obtained applying the results of this paper. Two illustrative examples are given.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
T. Alamo, A. Cepeda, M. Fiacchini, E.F. Camacho,