Quantised feedback stabilisation of LTI systems over partly unknown Markov fading channels

Wei Chen, Yuanyuan Zou, Nan Xiao, Jun Song and Yugang Niu

International Journal of Systems Science, 2017, vol. 48, issue 10, 2128-2136

Abstract: This paper is concerned with the quantised feedback stabilisation of a class of linear systems over partly unknown Markov fading channels. A set of channel state process with partly unknown transition probabilities is introduced to model time-varying fading channels, which characterises various configurations in physical communication environment and/or different channel fading amplitudes. Partly unknown Markov fading channels are more general than completely known Markov fading channels. Sufficient condition for mean square quadratic (MSQ) stabilisation over partly unknown Markov fading channels is given in the paper. Besides, necessary and sufficient conditions for MSQ stabilisation in two special cases, i.e. completely known Markov fading channels and independent identically distributed (i.i.d.) fading channels, are also given, respectively. Finally, two examples are given to demonstrate the effectiveness of the proposed results.

Date: 2017
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DOI: 10.1080/00207721.2017.1311964

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