Stability analysis of digital feedback control systems with time-varying sampling periods
type: Item
instance of: scholarly article
title: Stability analysis of digital feedback control systems with time-varying sampling periods
zbMATH Open document ID: 0941.93034
DOI: 10.1016/S0005-1098(99)00217-4
author: Bo Hu
author: Anthony N. Michel
published in: Automatica
publication date: 2000-07-24T00:00:00Z
review text: The authors study qualitative properties of a class of digital control systems with time-varying sampling periods consisting of a continuous-time nonlinear plant described by systems of first order differential equations, a nonlinear digital controller described by systems of first order difference equations, and appropriate interface elements between the plant and controller (A/D and D/A converters). Using a linearization approach, they establish several sets of conditions for Lyapunov stability and instability of the trivial solution and apply these results to the analysis of certain classes of switched systems and they study a stabilization problem for nonlinear cascaded control systems via hybrid feedback controllers.
Mathematics Subject Classification ID: 93C57
Mathematics Subject Classification ID: 93B18
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 1443879
zbMATH Keywords: sampled-data system
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: time-varying sampling
zbMATH Keywords: linearization
zbMATH Keywords: switched systems
zbMATH Keywords: stabilization
zbMATH Keywords: hybrid feedback
reviewed by: Svitlana P. Rogovchenko
MaRDI profile type: Publication
cites work: Sampled-data control systems. Analysis and synthesis, robust system design. (Transl. from the German)
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cites work: Stability analysis of a class of nonlinear multirate digital control systems
cites work: Basic problems in stability and design of switched systems
cites work: Q3345088
cites work: Control using logic-based switching. Workshop, in the fall of 1995, Block Island, RI, USA
full work available at URL: s0005-1098(99)00217-4
OpenAlex ID: W2175888109
description: scientific article; zbMATH DE number 1443879