Publication

Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection

Journal Article (2019)

Journal

Automatica

Pages

255-263

Volume

107

Doc link

https://doi.org/10.1016/j.automatica.2019.05.053

File

Download the digital copy of the doc pdf document

Abstract

In this paper, we study robust invariant set characterizations of discrete-time descriptor systems and propose an active mode detection mechanism for discrete-time descriptor systems considering multiple modes of operation. The considered class of descriptor systems assumes regularity, stability and is affected by unknown-but-bounded disturbances. As a first theoretical result, we establish a general framework for robust invariant sets for discrete-time descriptor systems in both causal and non-causal cases. Particular transformations are subsequently proposed for handling causal and non-causal descriptor systems and will be used to characterize the effects of disturbances. Based on these set-theoretic notions and a designed input signal for active set separations, we propose an active mode detection mechanism by exploiting the strong invariance properties

Categories

control system analysis.

Scientific reference

Y. Wang, S. Olaru, G. Valmorbida, V. Puig and G. Cembrano. Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection. Automatica, 107: 255-263, 2019.