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Journal Article
Qing Xu, Beihang University, Chun Zhang, Extreme Networks, Inc., Geir Dullerud, University of Illinois at Urbana-Champaign.  2014.  Stabilization of Markovian Jump Linear Systems with Log-Quantized Feedback. American Society Mechanical Engineers Journal of Dynamic Systems, Measurement and Control. 136(3)

This paper is concerned with mean-square stabilization of single-input Markovian jump linear systems (MJLSs) with logarithmically quantized state feedback. We introduce the concepts and provide explicit constructions of stabilizing mode-dependent logarithmic quantizers together with associated controllers, and a semi-convex way to determine the optimal (coarsest) stabilizing quantization density. An example application is presented as a special case of the developed framework, that of feedback stabilizing a linear time-invariant (LTI) system over a log-quantized erasure channel. A hardware implementation of this application on an inverted pendulum testbed is provided using a finite word-length approximation.