Title
Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection.
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.
Year
DOI
Venue
2019
10.1016/j.automatica.2019.05.053
Automatica
Keywords
Field
DocType
Robust invariant sets,Active mode detection,Input design,Set separation,Discrete-time descriptor systems
Multiple modes,Topology,Invariant (physics),Control theory,Active mode,Descriptor systems,Invariant (mathematics),Discrete time and continuous time,Mathematics
Journal
Volume
Issue
ISSN
107
1
0005-1098
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Ye Wang131.73
Sorin Olaru226747.10
Giorgio Valmorbida310416.87
Vicenç Puig432557.80
Gabriela Cembrano5359.42