Inverse system estimation for feedforward: a kernel-based approach for non-causal systems

Lennart Blanken, Ids van den Meijdenberg, Tom Oomen

Research output: Contribution to journalConference articleAcademicpeer-review

1 Citation (Scopus)

Abstract

Accurate models of inverse systems are required for high performance in inverse model-based feedforward control. Identification of inverse systems can be challenging, especially if the inverse system has poles outside the typical stability region. The aim of this paper is to estimate non-causal models of inverse systems, for intended use in feedforward control, where non-causality can be exploited to compensate ‘unstable’ poles. The developed method employs kernel-based regularization to improve the bias/variance trade-off, where the non-causal kernel is constructed using rational basis functions that include poles outside the usual stability region. The benefits of the developed method are demonstrated on an example, including non-causality.

LanguageEnglish
Pages1050-1055
Number of pages6
JournalIFAC-PapersOnLine
Volume51
Issue number15
DOIs
StatePublished - 1 Jan 2018
Event18th IFAC Symposium on System Identification (SYSID 2018) - Stockholm, Sweden
Duration: 9 Jul 201811 Jul 2018

Fingerprint

Poles
Feedforward control
Identification (control systems)

Keywords

  • feedforward control
  • Identification
  • inverse system
  • non-causality
  • regularization

Cite this

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title = "Inverse system estimation for feedforward: a kernel-based approach for non-causal systems",
abstract = "Accurate models of inverse systems are required for high performance in inverse model-based feedforward control. Identification of inverse systems can be challenging, especially if the inverse system has poles outside the typical stability region. The aim of this paper is to estimate non-causal models of inverse systems, for intended use in feedforward control, where non-causality can be exploited to compensate ‘unstable’ poles. The developed method employs kernel-based regularization to improve the bias/variance trade-off, where the non-causal kernel is constructed using rational basis functions that include poles outside the usual stability region. The benefits of the developed method are demonstrated on an example, including non-causality.",
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Inverse system estimation for feedforward : a kernel-based approach for non-causal systems. / Blanken, Lennart; van den Meijdenberg, Ids; Oomen, Tom.

In: IFAC-PapersOnLine, Vol. 51, No. 15, 01.01.2018, p. 1050-1055.

Research output: Contribution to journalConference articleAcademicpeer-review

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