Publication
Robust invariant sets and active mode detection for discrete-time uncertain descriptor systems
Conference Article
Conference
IEEE Conference on Decision and Control (CDC)
Edition
56th
Pages
5648-5653
Doc link
https://doi.org/10.1109/CDC.2017.8264511
File
Authors
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Wang, Ye
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Olaru, Sorin
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Valmorbida, Giorgio
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Puig Cayuela, Vicenç
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Cembrano Gennari, Gabriela
Projects associated
Abstract
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.
Categories
control theory.
Author keywords
robust invariant sets; active mode detection; descriptor systems
Scientific reference
Y. Wang, S. Olaru, G. Valmorbida, V. Puig and G. Cembrano. Robust invariant sets and active mode detection for discrete-time uncertain descriptor systems, 56th IEEE Conference on Decision and Control, 2017, Melbourne, Australia, pp. 5648-5653.
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