Observer-based scheme for the control of high order systems with two unstable poles plus time delay: CONTROL OF TIME DELAY SYSTEMS WITH TWO UNSTABLE POLES

David Fernando Novella Rodríguez, Basilio del Muro-Cuéllar, Olivier Sename

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

This paper deals with the problem of the stabilization and control of linear time invariant high order systems with two unstable real poles plus time delay. A simple observer-based controller is designed in order to achieve a stable behavior of the closed-loop system. Necessary and sufficient conditions for the existence of the proposed control structure are stated. Hence, only four proportional gains and the model of the plant are enough to obtain a stable response of the delayed system. Moreover, a robustness analysis is presented in order to compute the maximal uncertainty bound accepted for the delay term. In addition, a two degree of freedom proportional-integral control action is implemented in order to track step references and to reject step disturbances. The achieved performance of the proposed control strategy is illustrated by mean of numerical simulations.

Original languageEnglish
Pages (from-to)167-180
Number of pages14
JournalAsia-Pacific Journal of Chemical Engineering
Volume9
Issue number2
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Renewable Energy, Sustainability and the Environment
  • Waste Management and Disposal

Fingerprint Dive into the research topics of 'Observer-based scheme for the control of high order systems with two unstable poles plus time delay: CONTROL OF TIME DELAY SYSTEMS WITH TWO UNSTABLE POLES'. Together they form a unique fingerprint.

Cite this