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

Download the digital copy of the doc pdf document

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.