Necessary and sufficient bit rate conditions to stabilize quantized Markov jump linear systems | IEEE Conference Publication | IEEE Xplore

Necessary and sufficient bit rate conditions to stabilize quantized Markov jump linear systems


Abstract:

This paper studies the mean square stability of a quantized Markov jump linear system (MJLS) that closes its feedback path closed over digital networks. It investigates t...Show More

Abstract:

This paper studies the mean square stability of a quantized Markov jump linear system (MJLS) that closes its feedback path closed over digital networks. It investigates the effects of the finite constant feedback bit rate on the MJLS' stability. A lower bound is placed on all constant bit rates which could stabilize the MJLS. It also provides a sufficient bit rate for the MJLS, which is shown to be enough to stabilize the system through constructing an appropriate quantization policy. So it is possible to stabilize a quantized MJLS at a finite bit rate. Moreover, it can determine a bit rate range, within which the minimum bit rate required for stability lies. An example is used to verify the achieved theoretical results.
Date of Conference: 30 June 2010 - 02 July 2010
Date Added to IEEE Xplore: 29 July 2010
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Conference Location: Baltimore, MD, USA

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