Title
Set-theoretic estimation of hybrid system configurations.
Abstract
Hybrid systems serve as a powerful modeling paradigm for representing complex continuous controlled systems that exhibit discrete switches in their dynamics. The system and the models of the system are nondeterministic due to operation in uncertain environment. Bayesian belief update approaches to stochastic hybrid system state estimation face a blow up in the number of state estimates. Therefore, most popular techniques try to maintain an approximation of the true belief state by either sampling or maintaining a limited number of trajectories. These limitations can be avoided by using bounded intervals to represent the state uncertainty. This alternative leads to splitting the continuous state space into a finite set of possibly overlapping geometrical regions that together with the system modes form configurations of the hybrid system. As a consequence, the true system state can be captured by a finite number of hybrid configurations. A set of dedicated algorithms that can efficiently compute these configurations is detailed. Results are presented on two systems of the hybrid system literature.
Year
DOI
Venue
2009
10.1109/TSMCB.2009.2015280
IEEE Transactions on Systems, Man, and Cybernetics, Part B
Keywords
Field
DocType
true system state,system modes form configuration,hybrid system,set-theoretic estimation,hybrid system state estimation,complex continuous controlled system,hybrid system configuration,true belief state,state uncertainty,hybrid system literature,state estimate,continuous state space,state space,bayesian methods,stochastic processes,switches,uncertainty,hybrid systems,set theory,sampling methods,filtering,estimation
Finite set,Control theory,Computer science,Artificial intelligence,Set theory,Mathematical optimization,Nondeterministic algorithm,Stochastic process,Filter (signal processing),Hybrid system,State space,Machine learning,Bounded function
Journal
Volume
Issue
ISSN
39
5
1941-0492
Citations 
PageRank 
References 
14
0.80
31
Authors
3
Name
Order
Citations
PageRank
emmanuel benazera11287.20
L. Trav&#233/-massuy&#232/s239454.06
L. Trav&#233/-massuy&#232/s339454.06