Virtual Reference Feedback Tuning for non-minimum phase plants

Campestrini, L.;Eckhard, D.;Gevers, Michel;Bazanella, A.S.
(2011) Automatica — Vol. 47, n° 8, p. 1778-1784 (2011)

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  • Campestrini, L.Universidade Federal do Rio Grande do Sul
    Author
  • Eckhard, D.Universidade Federal do Rio Grande do Sul
    Author
  • Gevers, MichelUCLouvain
    Author
  • Bazanella, A.S.Universidade Federal do Rio Grande do Sul
    Author
Abstract
Model reference control design methods fail when the plant has one or more non-minimum phase zeros that are not included in the reference model, leading possibly to an unstable closed loop. This is a very serious problem for data-based control design methods, where the plant is typically unknown. In this paper, we extend the Virtual Reference Feedback Tuning method to non-minimum phase plants. This extension is based on the idea proposed in Lecchini and Gevers (2002) for Iterative Feedback Tuning. We present a simple two-step procedure that can cope with the situation where the unknown plant may or may not have non-minimum phase zeros.
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Campestrini, L., Eckhard, D., Gevers, M., & Bazanella, A. S. (2011). Virtual Reference Feedback Tuning for non-minimum phase plants. Automatica, 47(8), 1778-1784. https://doi.org/10.1016/j.automatica.2011.04.002 (Original work published 2011)