Dispersion compensating fibre fibre Bragg gratings

Ibsen, M., Durkin, M. K., Feced, R., Cole, M. J., Zervas, M. N. and Laming, R. I. (2001) Dispersion compensating fibre fibre Bragg gratings. In Proceedings of Conference on Active and Passive Optical Components for WDM Communication. vol. 4532, SPIE. pp. 540-551 . (doi:10.1117/12.492286).

Abstract

The subject of this paper is modeling of the influence of non-minimum phase plant dynamics on the performance possible from gradient based norm optimal iterative learning control algorithms. It is established that performance in the presence of right-half plane plant zeros typically has two phases. These consist of an initial fast monotonic reduction of the L 2 error norm followed by a very slow asymptotic convergence. Although the norm of the tracking error does eventually converge to zero, the practical implications over finite trials is apparent convergence to a non-zero error. The source of this slow convergence is identified and a model of this behavior as a (set of) linear constraint(s) is developed. This is shown to provide a good prediction of the magnitude of error norm where slow convergence begins. Formulae for this norm are obtained for single-input single-output systems with several right half plane zeroes using Lagrangian techniques and experimental results are given that confirm the practical validity of the analysis.

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Contributors

Author: M. N. Zervas

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