Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems

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Abstract

Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used in controller design for a sampled-data system.
Original languageEnglish
Pages (from-to)1783-1788
JournalIEEE Transactions on Automatic Control
Volume48
Issue number10
DOIs
Publication statusPublished - 7 Oct 2003

Bibliographical note

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Keywords

  • Lyapunov method
  • Stability
  • Nonlinear control systems
  • Feedback
  • Robust control
  • Control system analysis
  • Control systems
  • Interconnected systems
  • Sampling methods
  • Digital control
  • robust control
  • nonlinear control systems
  • Lyapunov methods
  • discrete time systems
  • sampled-data system
  • feedback interconnection
  • discrete-time ISS systems
  • input-to-state stability
  • discrete-time systems
  • controller design

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