Optimal preview-based stable-inversion for output tracking of nonminimum-phase linear systems

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Abstract

In this article, a new approach to output tracking of nonminimum-phase systems is proposed. The proposed technique extends the preview-based stable-inversion method to optimally utilize finite-preview (in time) of the future desired output trajectory to find the feedforward input (called the inverse input) for achieving precision output tracking for nonminimum-phase systems. It has been shown that having a large enough preview time is critical to ensure the precision in the preview-based output tracking. The available preview time, however, can be limited due to the physical constraints, and more generally, the associated cost and/or hardware limits. Therefore, we propose obtaining the optimal preview-based inverse input by minimizing, within the preview time window, the predicted tracking error (under the preview-based inverse input) relative to the input energy. A simulation study on a piezoelectric actuator model is used to illustrate the proposed technique.

Original languageEnglish (US)
Pages (from-to)230-237
Number of pages8
JournalAutomatica
Volume45
Issue number1
DOIs
StatePublished - Jan 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Keywords

  • Nonminimum-phase systems
  • Optimal control
  • Output tracking
  • Preview-based approach
  • Stable-inversion

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