Stabilization of continuous-time switched linear systems with quantized output feedback

TL;DR

This paper presents a method for stabilizing continuous-time switched linear systems using quantized output feedback, ensuring asymptotic stability by updating the quantizer at each switch and under average dwell-time conditions.

Contribution

It extends existing non-switched system results to switched systems, developing a quantizer update rule that guarantees stability despite switching.

Findings

Achieves asymptotic stability with quantized feedback

Develops quantizer update rule for each switch

Ensures stability under average dwell-time assumption

Abstract

In this paper, we study the problem of stabilizing continuous-time switched linear systems with quantized output feedback. We assume that the observer and the control gain are given for each mode. Also, the plant mode is known to the controller and the quantizer. Extending the result in the non-switched case, we develop an update rule of the quantizer to achieve asymptotic stability of the closed-loop system under the average dwell-time assumption. To avoid quantizer saturation, we adjust the quantizer at every switching time.