Delayed Model Approximation and Control Design for Under-Damped Systems

David F. Novella-Rodríguez, Basilio del Muro-Cuéllar, German Hernandez-Hernández, Juan F. Marquez-Rubio

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The presented paper introduces a simple methodology to obtain a reduced-order approximation to high-order systems with oscillating dynamics. The reduction is based on the frequency domain characteristics of the under-damped high-order process. Classic control theory tools are used in order to obtain an accurate model reduction. Time-delay term plays an important role at the low-order model since it allows to hold the phase characteristics of the original system. Finally, a simple PID tuning methodology has been proposed in order to obtain the controller gains from the reduced model. Some numerical simulations are presented obtaining a similar performance when the PID controller applied to the high-order plant.

Original languageEnglish
Pages (from-to)1316-1321
Number of pages6
JournalIFAC-PapersOnLine
Volume50
Issue number1
DOIs
StatePublished - Jul 2017

Keywords

  • Linear systems
  • N-dimensional systems
  • Process control
  • Systems with time-delays
  • Time-invariant systems

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