Multiple-model based intelligent control techniques for lti systems with unknown external delays part II: Unknown rational component

Asier Ibeas, Ramón Vilanova, Pedro Balaguer, Manuel De La Sen

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

This second part addresses the problem of controlling a continuous-time linear time-invariant plant with external point delays using a multi-estimation scheme. The plant is supposed to posses parametric uncertainty while the delay is supposed to be unknown but belonging to a known compact subset. Firstly, the continuous-time plant is discretized by using a ZOH. The discretization step allows converting a real-valued delay uncertainty in a discrete-type one. Thus, the estimation scheme is composed of a bank of estimation algorithms running in parallel, being each one associated to a discretization of the plant with a different nominal value of the discrete time delay. Then, a high-level supervisor selects the most appropriate model to be used to parameterize the adaptive controller at each time interval. In this way, a conceptually simple control design for the adaptive control of unknown plants with unknown external point delays is presented. Furthermore, the scheme has revealed to be potentially capable of estimating an approximation of the actual delay of the plant as simulation examples have pointed out. This is an important novelty since there is not effective method to estimate simultaneously the delay of the continuous plant and its parameters. ICIC International © 2008.
Original languageEnglish
Pages (from-to)1251-1266
JournalInternational Journal of Innovative Computing, Information and Control
Volume4
Issue number6
Publication statusPublished - 1 Jun 2008

Keywords

  • Adaptive control
  • Digital control
  • Multiestimation
  • Switching
  • Time-delayed systems

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