STABILIZING STATIC OUTPUT FEEDBACK VIA COARSEST QUANTIZERS

HERNAN HAIMOVICH

Praga, Rep. Checa

Congreso; 16th IFAC World Congress; 2005

International Federation of Automatic Control (IFAC)

This paper deals with quadratic stabilization of linear systems via a static quantized state or output feedback. The measure of quantization density introduced by Elia and Mitter (2001) is considered and used to derive the coarsest state quantizer of a specific form that is able to quadratically stabilize the given system with respect to a given control Lyapunov function. This result is then employed to find the coarsest output quantizer that may be utilized to obtain a stabilizing static output feedback. By optimizing quantization density with respect to a parameter in the specific form of quantizers considered, Theorem 2.1 of Elia and Mitter (2001) is recovered by alternative means.