Title
State estimation strategy without jump detection for hybrid systems using gluing function
Abstract
In this paper, we propose a new observer design approach for a class of hybrid systems with jumps of the state. The idea is to “glue” the jump set (a part of domain where the jumps take place) onto its image. Then, on the “glued” domain, the hybrid system becomes a continuous-time system without any jumps. Therefore, it would be possible to design an observer for the system, via a conventional observer design method for continuous-time systems. This new observer design mechanism does not require any detection of the jumps. To this end, we introduce the notion of gluing function and provide a condition ensuring that the system dynamics after gluing is well-defined and continuous. Finally, as a case study, we design an observer for a bouncing ball system.
Year
DOI
Venue
2014
10.1109/CDC.2014.7039372
CDC
Keywords
Field
DocType
observers,gluing function,hybrid system,control system synthesis,state estimation strategy,estimation theory,observer design approach,continuous time systems,jump detection,discrete time systems,continuous-time system
State observer,Control theory,Computer science,Step detection,System dynamics,Observer (quantum physics),Jump,Hybrid system,Bouncing ball dynamics
Conference
ISSN
Citations 
PageRank 
0743-1546
0
0.34
References 
Authors
7
5
Name
Order
Citations
PageRank
Jisu Kim121128.11
Hansung Cho200.68
Artem Shamsuarov311.04
Hyungbo Shim474970.52
Jin Heon Seo537323.20