“A new perspective on stable inversion of non-minimum phase nonlinear systems”

Authors: Alexey Pavlov and Kristin Y. Pettersen,
Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 2008, Vol 29, No 1, pp. 29-35.

Keywords: Stable inversion, non-minimum phase systems, nonlinear systems, convergent systems

Abstract: We present a new perspective on the problem of stable inversion of nonlinear non-minimum phase systems. It is based on the notion of convergent systems. The machinery of convergent systems allows us to obtain novel qualitative and quantitative conditions for solving this problem. These conditions provide insight into the dynamics behind the stable inversion problem and make it possible to treat this problem in a non-local way. Qualitatively, they cover the conditions for the stable inversion of non-minimum phase nonlinear systems previously reported in literature and allow us to solve this problem for a broader class of systems. The proposed approach is supported with a novel computational method.

PDF PDF (148 Kb)        DOI: 10.4173/mic.2008.1.3

DOI forward links to this article:
[1] Alexey Pavlov and Kristin Y. Pettersen (2007), doi:10.1109/CDC.2007.4434276
[2] H. T. van der Scheer and A. Doelman (2017), doi:10.1007/s00422-017-0722-1
[3] Jurgen van Zundert and Tom Oomen (2017), doi:10.1080/00207179.2017.1380315
[4] Max van Meer, Maurice Poot, Jim Portegies and Tom Oomen (2022), doi:10.1016/j.ifacol.2022.11.191
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  title={{A new perspective on stable inversion of non-minimum phase nonlinear systems}},
  author={Pavlov, Alexey and Pettersen, Kristin Y.},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}