Stabilization of Markovian Jump Linear Systems with Log-Quantized Feedback
Title | Stabilization of Markovian Jump Linear Systems with Log-Quantized Feedback |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Qing Xu, Beihang University, Chun Zhang, Extreme Networks, Inc., Geir Dullerud, University of Illinois at Urbana-Champaign |
Journal | American Society Mechanical Engineers Journal of Dynamic Systems, Measurement and Control |
Volume | 136 |
Issue | 3 |
Keywords | UIUC |
Abstract | 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. |
URL | https://publish.illinois.edu/science-of-security-lablet/files/2014/06/Stabilization-of-Markovian-Jum... |
Citation Key | node-23380 |
Attachment | Size |
---|---|
bytes |