DocumentCode :
592462
Title :
Stochastic stabilization of partially observed and multi-sensor systems driven by Gaussian noise under fixed-rate information constraints
Author :
Johnston, Andrew P. ; Yuksel, Serdar
Author_Institution :
Dept. of Math. & Stat., Queen´s Univ., Kingston, ON, Canada
fYear :
2012
fDate :
10-13 Dec. 2012
Firstpage :
3323
Lastpage :
3328
Abstract :
We investigate the stabilization of unstable multi-dimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels. Stability is achieved under fixed-rate communication requirements that are asymptotically tight in the limit of large sampling periods. Through the use of similarity transforms, sampling and random-time drift conditions we obtain a coding and control policy leading to the existence of a unique invariant distribution and finite second moment for the sampled state. We use a vector stabilization scheme in which all modes of the linear system visit a compact set together infinitely often. We prove tight necessary and sufficient conditions for the general multi-sensor case under an assumption related to the structure of such systems. In the absence of this assumption, we give sufficient conditions for stabilization.
Keywords :
Gaussian noise; sampling methods; sensor fusion; Gaussian noise; coding policy; control policy; discrete noiseless channels; fixed-rate communication; fixed-rate information constraints; multisensor linear systems; partially observed systems; random-time drift conditions; sampling periods; stochastic stabilization; vector stabilization scheme; Eigenvalues and eigenfunctions; Encoding; Equations; Linear systems; Markov processes; Noise; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
ISSN :
0743-1546
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
Type :
conf
DOI :
10.1109/CDC.2012.6426675
Filename :
6426675
Link To Document :
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