Brief paper: Detection and stabilization for discrete-time descriptor systems via a limited capacity communication channel

Authors:
Lei Zhou;Guoping Lu
Affiliations:
School of Science, Nantong University, Nantong, Jiangsu 226007, China;College of Electrical Engineering, Nantong University, Nantong, Jiangsu 226019, China
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

This paper addresses the state estimation and stabilization for linear discrete-time descriptor systems. It is assumed that the estimator and controller can only receive the transmitted sequence of finite coded signals via a limited digital communication channel. Both coder-decoder and coder-decoder-controller procedures are proposed, in which a compensation term is introduced to meet the compatible requirement. In addition, an effective method for selecting the compensation term is presented. Detection and stabilization conditions in terms of linear matrix inequality are obtained. Finally, an example is given to illustrate the effectiveness of design procedures.