Demonstration of the sensitivity of the Smith predictor to parameter uncertainties using stability diagrams

David Hajdu, T. Insperger

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Time-domain representation of the original Smith predictor is presented for systems with feedback delay. Sensitivity to parameter uncertainties is analyzed for a marginally stable, for an asymptotically stable and for an unstable second-order plant. A series of stability diagrams are constructed using the D-subdivision method and Stepan’s formulas. Transition to the stability diagrams subjected to delayed state feedback is established. It is demonstrated that the Smith predictor is sensitive to infinitesimal parameter mismatches for the marginally stable plant. It is shown that the Smith predictor can stabilize unstable plants for some extremely detuned internal model parameters.

Original languageEnglish
Pages (from-to)384-392
Number of pages9
JournalInternational Journal of Dynamics and Control
Volume4
Issue number4
DOIs
Publication statusPublished - Dec 1 2016

Fingerprint

Smith Predictor
Parameter Uncertainty
Demonstrations
Diagram
Unstable
State feedback
Feedback Delay
Asymptotically Stable
Feedback
Subdivision
State Feedback
Time Domain
Internal
Series
Uncertainty
Model

Keywords

  • Feedback delay
  • Parameter mismatch
  • Smith predictor
  • Stability
  • Time-domain representation

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Mechanical Engineering
  • Control and Optimization
  • Modelling and Simulation

Cite this

Demonstration of the sensitivity of the Smith predictor to parameter uncertainties using stability diagrams. / Hajdu, David; Insperger, T.

In: International Journal of Dynamics and Control, Vol. 4, No. 4, 01.12.2016, p. 384-392.

Research output: Contribution to journalArticle

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