Title
Networked Estimation using Sparsifying Basis Prediction.
Abstract
We present a framework for networked state estimation, where systems encode their (possibly high dimensional) state vectors using a mutually agreed basis between the system and the estimator (in a remote monitoring unit). The basis sparsifies the state vectors, i.e., it represents them using vectors with few non-zero components, and as a result, the systems might need to transmit only a fraction of the original information to be able to recover the non-zero components of the transformed state vector. Hence, the estimator can recover the state vector of the system from an under-determined linear set of equations. We use a greedy search algorithm to calculate the sparsifying basis. Then, we present an upper bound for the estimation error. Finally, we demonstrate the results on a numerical example.
Year
DOI
Venue
2013
10.3182/20130925-2-DE-4044.00050
IFAC Proceedings Volumes
Keywords
Field
DocType
Networked Estimation,System state estimation,State monitoring,Sparsifying basis,Uncertain linear systems
ENCODE,Mathematical optimization,State vector,Upper and lower bounds,Communications system,Greedy algorithm,Mathematics,Estimator
Journal
Volume
Issue
ISSN
46
27
1474-6670
Citations 
PageRank 
References 
0
0.34
16
Authors
3
Name
Order
Citations
PageRank
Farhad Farokhi19522.77
Amirpasha Shirazinia2626.90
Karl Henrik Johansson33996322.75