Title
Robust Invariant Sets And Active Mode Detection For Discrete-Time Uncertain Descriptor Systems
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.
Year
Venue
Field
2017
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)
Invariant (physics),Linear system,Computer science,Control theory,Matrix decomposition,Algorithm,Projection (linear algebra),Robustness (computer science),Invariant (mathematics),Discrete time and continuous time,Bounded function
DocType
ISSN
Citations 
Conference
0743-1546
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Ye Wang1202.04
Sorin Olaru226747.10
Giorgio Valmorbida310416.87
Vicenç Puig432557.80
Gabriela Cembrano5359.42