Quantized feedback stabilization of linear systems

This paper addresses feedback stabilization problems for linear time-invariant control systems with saturating quantized measurements. We propose a new control design methodology, which relies on the possibility of changing the sensitivity of the quantizer while the system evolves. The equation that...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 2000-07, Vol.45 (7), p.1279-1289
Main Authors: Brockett, R.W., Liberzon, D.
Format: Article
Language:English
Subjects:
Asymptotic properties
Asymptotic stability
Communication system control
Control design
Control systems
Control theory
Equations
Evolution
Feedback
Feedback control
Linear feedback control systems
Linear systems
Mathematical analysis
Output feedback
Quantization
Stabilization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper addresses feedback stabilization problems for linear time-invariant control systems with saturating quantized measurements. We propose a new control design methodology, which relies on the possibility of changing the sensitivity of the quantizer while the system evolves. The equation that describes the evolution of the sensitivity with time (discrete rather than continuous in most cases) is interconnected with the given system (either continuous or discrete), resulting in a hybrid system. When applied to systems that are stabilizable by linear time-invariant feedback, this approach yields global asymptotic stability.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.867021