Recently, it has been demonstrated experimentally that adaptive estimation of
a continuously varying optical phase provides superior accuracy in the phase
estimate compared to static estimation. Here, we show that the mean-square
error in the adaptive phase estimate may be further reduced for the stochastic
noise process considered by using an optimal Kalman filter in the feedback
loop. Further, the estimation process can be made robust to fluctuations in the
underlying parameters of the noise process modulating the system phase to be
estimated. This has been done using a guaranteed cost robust filter.Comment: 5 pages, 6 figures, Proceedings of the 2012 Australian Control
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