“An Adaptive Controller Based upon Continuous Estimation of the Closed Loop Frequency Response”
Authors: Jens G. Balchen and Bernt Lie,Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1987, Vol 8, No 4, pp. 223-240.
Keywords: Adaptive control, frequency response, correlation methods, parameter estimation, process control
Abstract: An adaptive control algorithm based upon on-line estimation of the -180 degree shift frequency and the gain margin is investigated. The estimates are found by perturbing the system with a small signal and then correlating the system deviation with the excitation. As only two parameters are estimated, the algorithm is robust. Moreover, the estimator can be applied to non-minimum phase systems, including systems with a varying time-delay. The control algorithm can be of any form as long as there is a functional relationship between the estimated parameters and the control algorithm parameters. To avoid an excessive perturbation signal, the square of the amplitude of this signal is automatically adjusted to a certain ratio of the variance of the error signal. A mathematical analysis of convergence is presented and the theory is confirmed by experimental results.
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DOI: 10.4173/mic.1987.4.3DOI forward links to this article:
| [1] Jens G. Balchen, Kåre Telnes and David Di Ruscio (1989), doi:10.4173/mic.1989.1.1 |
| [2] Pramod R. Raul and Prabhakar R. Pagilla (2014), doi:10.1016/j.isatra.2014.11.020 |
| [3] Niko Nevaranta, Stijn Derammelaere, Jukka Parkkinen, Bram Vervisch, Tuomo Lindh, Kurt Stockman, Markku Niemela, Olli Pyrhonen and Juha Pyrhonen (2016), doi:10.1109/TIE.2016.2574303 |
| [4] Niko Nevaranta, Stijn Derammelaere, Jukka Parkkinen, Bram Vervisch, Tuomo Lindh, Markku Niemelä and Olli Pyrhönen (2016), doi:10.4173/mic.2016.2.5 |
| [5] N. Nevaranta, M. Goubej, T. Lindh, M. Niemela and O. Pyrhonen (2016), doi:10.1109/EPE.2016.7695535 |
| [6] J.G. Balchen, K. Telnes and D.di Ruscio (1988), doi:10.1016/S1474-6670(17)53801-X |
| [7] Christer Dalen and David Di Ruscio (2018), doi:10.4173/mic.2018.1.4 |
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BibTeX:
@article{MIC-1987-4-3,
title={{An Adaptive Controller Based upon Continuous Estimation of the Closed Loop Frequency Response}},
author={Balchen, Jens G. and Lie, Bernt},
journal={Modeling, Identification and Control},
volume={8},
number={4},
pages={223--240},
year={1987},
doi={10.4173/mic.1987.4.3},
publisher={Norwegian Society of Automatic Control}
};