Exploring LQI Control in Sampled-Data Systems: A Numerical Study for First-Order Systems

Luis Severino, Fernando Sanhueza, Andres Peters, Francisco Vargas

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This work aims to numerically study the impact of implementing a discrete-time Linear Quadratic Integral (LQI) controller. The discrete-time controller is based on a previously designed continuous-time one. The precision of this implementation is assessed by comparing the cost function of the continuous-time controller with the results obtained from implementing a discrete-time controller in a sampled-data feedback loop. Our analysis explores the effects of discretisation using various integral approximations and different sampling times. Our simulations show a disparity between continuous and sampled-data system costs for insufficiently low sampling periods, along with how the performance of the integration methods depends on the chosen weighting matrices. This research highlights the challenges and considerations in transitioning from continuous-time to discrete-time control.

Original languageEnglish
Title of host publicationIEEE Andescon, ANDESCON 2024 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798350355284
DOIs
StatePublished - 2024
Externally publishedYes
Event12th IEEE Andescon, ANDESCON 2024 - Cusco, Peru
Duration: 11 Sep 202413 Sep 2024

Publication series

NameIEEE Andescon, ANDESCON 2024 - Proceedings

Conference

Conference12th IEEE Andescon, ANDESCON 2024
Country/TerritoryPeru
CityCusco
Period11/09/2413/09/24

Keywords

  • Integral Approximation
  • Linear Quadratic Integral control
  • Sampled-data systems

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