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Stability analysis of digital feedback control systems with time-varying sampling periods

Authors
  • Hu, Bo
  • Michel, Anthony N.
Type
Published Article
Journal
Automatica
Publisher
Elsevier
Publication Date
Jan 01, 2000
Accepted Date
Oct 11, 1999
Volume
36
Issue
6
Pages
897–905
Identifiers
DOI: 10.1016/S0005-1098(99)00217-4
Source
Elsevier
Keywords
License
Unknown

Abstract

We consider digital feedback control systems with time-varying sampling periods consisting of an interconnection of a continuous-time nonlinear plant (described by systems of first-order ordinary differential equations), a nonlinear digital controller (described by systems of first-order ordinary difference equations), and appropriate interface elements between the plant and controller (A/D and D/A converters). For such systems we study the stability properties of an equilibrium (in the Lyapunov sense) and derive some results for local stability and instability via a linearization approach. These results are then used in the analysis of certain classes of switched systems and in the stabilization problem of nonlinear cascade control systems via hybrid feedback controllers.

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