2026-04-13T03:11:04Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1197362026-01-14T07:26:49Zcom_2072_1033col_2072_452950

00925njm 22002777a 4500 dc Wang, Ye author Olaru, Sorin author Valmorbida, Giorgio author Puig Cayuela, Vicenç author Cembrano Gennari, Gabriela author 2017 © 20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. In this paper, the computation of robust invariant sets for discrete-time uncertain descriptor systems is investigated. The studied descriptor systems are assumed to be regular and stable subject to unknown but bounded disturbances. The robust invariant sets of both causal and non-causal descriptor systems are studied. Transformations for causal and non-causal descriptor systems are used in the characterization of the effect of the disturbances. For causal descriptor systems, two robust positively invariant (RPI) sets are computed separately. For non-causal descriptor systems, an RPI set and a robust negatively invariant (RNI) set can be found. As a result, the general RPI set of a descriptor system can be obtained from a linear projection image of these two sets. Besides, active mode detection method is proposed based on set invariance theory. Postprint (author's final draft) Àrees temàtiques de la UPC::Informàtica::Automàtica i control control theory robust invariant sets active mode detection descriptor systems Classificació INSPEC::Control theory Robust invariant sets and active mode detection for discrete-time uncertain descriptor systems