Stabilizing Static Output Feedback via Coarsest Quantizers

Author:	Haimovich Hernan, The University of Newcastle, Australia
Topic:	2.1 Control Design
Session:	LMI Methods in Stabilization and Control
Keywords:	quantized static output feedback, quadratic stabilization, quantization density, coarse quantizers, networked control systems.

Abstract

This paper deals with quadratic stabilization of linear systems via a staticquantized state or output feedback. The measure of quantization density introduced by Elia and Mitter (2001) is considered and used to derive thecoarsest state quantizer of a specific form that is able to quadraticallystabilize the given system with respect to a given control Lyapunovfunction. This result is then employed to find the coarsest output quantizerthat may be utilized to obtain a stabilizing static output feedback. Byoptimizing quantization density with respect to a parameter in the specific formof quantizers considered, Theorem 2.1 of Elia and Mitter (2001)is recovered by alternativemeans.