Input-to-state stability for parameterized discrete-time time-varying nonlinear systems with applications

Dina Shona Laila, A. Astolfi

Research output: Contribution to conferencePaper

Abstract

Input-to-state stability (ISS) of a parameterized family of discrete-time time-varying nonlinear systems is investigated. A converse Lyapunov theorem for such systems is developed. We consider parameterized families of discrete-time systems and concentrate on a semiglobal practical property that naturally arises when an approximate discrete-time model is used to design a controller for a sampled-data system. Application of our main result to time-varying periodic systems is presented. This is then used to design a semiglobal practical ISS (SP-ISS) control law for the model of a wheeled mobile robot.
Original languageEnglish
Publication statusPublished - 9 May 2005
EventAsian Control Conference - Melbourne, Australia
Duration: 20 Jul 200423 Jul 2004

Conference

ConferenceAsian Control Conference
CountryAustralia
CityMelbourne
Period20/07/0423/07/04

Bibliographical note

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Keywords

  • Time varying systems
  • Nonlinear systems
  • Control systems
  • Nonlinear control systems
  • Mobile robots
  • Control nonlinearities
  • Robust stability
  • Educational institutions
  • Linear systems
  • Portfolios
  • periodic control
  • stability
  • discrete time systems
  • time-varying systems
  • nonlinear control systems
  • Lyapunov methods
  • sampled data systems
  • wheeled mobile robot
  • input-to-state stability
  • parameterized discrete-time system
  • time-varying nonlinear system
  • converse Lyapunov theorem
  • sampled-data system
  • time-varying periodic system

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    Laila, D. S., & Astolfi, A. (2005). Input-to-state stability for parameterized discrete-time time-varying nonlinear systems with applications. Paper presented at Asian Control Conference, Melbourne, Australia.