Hybrid feedback stabilization of systems with quantized signals
type: Item
instance of: scholarly article
title: Hybrid feedback stabilization of systems with quantized signals
zbMATH Open document ID: 1030.93042
DOI: 10.1016/S0005-1098(03)00151-1
author: Daniel Liberzon
published in: Automatica
publication date: 2003-08-17T00:00:00Z
review text: The author generalizes previous work of himself and R. Brackett (2000). He considers more general types of quantizers with quantization regions having arbitrary shapes as in [\textit{J. Lunze}, \textit{B. Nixdorf}, and \textit{J. Schröder}, ibid. 35, 395-406 (1999; Zbl 0942.93026)]. In addition, he addresses the quantized feedback stabilization problem for nonlinear systems. Analogous results for systems with input quantization, both linear and nonlinear are developed in this paper. He uses Lyapunov stability, hybrid systems, and input to state stability notions for the analysis.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1965011
zbMATH Keywords: quantization
zbMATH Keywords: hybrid control
zbMATH Keywords: Lyapunov function
zbMATH Keywords: input-to-state stability
zbMATH Keywords: feedback stabilization
zbMATH Keywords: nonlinear systems
zbMATH Keywords: input quantization
zbMATH Keywords: hybrid systems
MaRDI profile type: Publication
cites work: Quantized feedback stabilization of linear systems
cites work: Extracting state information from a quantized output record
cites work: Stabilizing a linear system with quantized state feedback
cites work: Centroidal Voronoi Tessellations: Applications and Algorithms
cites work: Stabilization of linear systems with limited information
cites work: Input-to-state stability with respect to measurement disturbances for one-dimensional systems
cites work: Active probing for information in control systems with quantized state measurements: a minimum entropy approach
cites work: Q3994508
cites work: Global internal stabilizability does not imply global external stabilizability for small sensor disturbances
cites work: Stabilizing a linear system by switching control with dwell time
cites work: Robust control of uncertain nonlinear systems via measurement feedback
cites work: Q4953396
cites work: Nonlinear feedback systems perturbed by noise: steady-state probability distributions and optimal control
cites work: Deterministic discrete-event representations of linear continuous-variable systems
cites work: Smooth stabilization implies coprime factorization
cites work: Clocks and Insensitivity to Small Measurement Errors
cites work: On characterizations of the input-to-state stability property
cites work: New characterizations of input-to-state stability
cites work: Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback
full work available at URL: s0005-1098(03)00151-1
OpenAlex ID: W2026324833
description: scientific article; zbMATH DE number 1965011