Robust invariant sets and active mode detection for discrete-time uncertain descriptor systems

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...

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Published inCDC : 2017 IEEE 56th annual Conference on Decision and Control : 12-15 December 2017 pp. 5648 - 5653
Main Authors Ye Wang, Olaru, Sorin, Valmorbida, Giorgio, Puig, Vicenc, Cembrano, Gabriela
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2017
Subjects
Biological system modeling
Economic indicators
Integrated circuit modeling
Linear systems
Mathematical model
Matrix decomposition
Robustness
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Summary: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.
DOI:10.1109/CDC.2017.8264511