On preservation of dissipation inequalities under sampling

D. Nesic, Dina Shona Laila, A. R. Teel

Research output: Contribution to conferencePaper

Abstract

We show that if we first design a controller for a continuous-time nonlinear plant with disturbances so that it achieves a certain dissipation inequality for the continuous-time closed-loop system and then implement it as a sampled-data controller using a sampler and zero order hold, then the dissipation inequality will be preserved for the exact discrete-time model of the sampled data closed-loop system in a semiglobal practical sense (the sampling period is the parameter that we can adjust). Moreover, a similar statement is proved for open-loop systems, where controls are considered as free variables. Two different forms of dissipation inequalities are considered for the exact discrete-time models: the "weak" form and the "strong" form.
Original languageEnglish
Pages2472-2477
DOIs
Publication statusPublished - 6 Aug 2002
Event39th IEEE Conference on Decision and Control - Sydney, Australia
Duration: 12 Dec 200015 Dec 2000

Conference

Conference39th IEEE Conference on Decision and Control
CountryAustralia
CitySydney
Period12/12/0015/12/00

Bibliographical note

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Keywords

  • Sampling methods
  • Nonlinear control systems
  • Control systems
  • Open loop systems
  • Stability
  • Design methodology
  • Nonlinear systems
  • Linear systems
  • Differential equations
  • Data systems
  • discrete time systems
  • control system synthesis
  • nonlinear control systems
  • stability
  • closed loop systems
  • sampled data systems
  • open-loop systems
  • dissipation inequality preservation
  • sampling
  • controller design
  • continuous-time nonlinear plant
  • continuous-time closed-loop system
  • sampled-data controller
  • zero order hold
  • dissipation inequality
  • exact discrete-time model
  • sampled data closed-loop system
  • semiglobal practical sense

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  • Cite this

    Nesic, D., Laila, D. S., & Teel, A. R. (2002). On preservation of dissipation inequalities under sampling. 2472-2477. Paper presented at 39th IEEE Conference on Decision and Control, Sydney, Australia. https://doi.org/10.1109/CDC.2000.914173