Stabilization of third-order systems with possible complex conjugate poles and time delay

Translated title of the contribution: Stabilization of third-order systems with possible complex conjugate poles and time delay

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Abstract

The stabilization problem of third-order, time-delay unstable linear systems is analyzed. The systems under consideration have one unstable and two stable poles, which may be complex conjugate. Necessary and sufficient conditions to guarantee the stability of the closed loop system by means of a static output feedback are provided. Using such conditions, a predictor scheme that improves the transient system performance is proposed. To illustrate the application of the proposed strategy, it is applied to an unstable continuously stirred tank reactor model. Simulation results are presented.

Translated title of the contributionStabilization of third-order systems with possible complex conjugate poles and time delay
Original languageEnglish
Pages (from-to)351-360
Number of pages10
JournalRevista Mexicana de Ingeniera Quimica
Volume12
Issue number2
StatePublished - 2013

Keywords

  • Complex conjugate poles
  • Delay
  • Predictor
  • Stabilization

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