Roy, ShibdasRehman, ObaidPetersen, Ian RHuntington, Elanor Harriet2018-11-302018-11-30August 23-9783952417393http://hdl.handle.net/1885/154103Continuous phase estimation is known to be superior in accuracy as compared to static estimation. The estimation process is, however, desired to be made robust to uncertainties in the underlying parameters. Here, homodyne phase estimation of coherent and squeezed states of light, evolving continuously under the influence of a second-order resonant noise process, are made robust to parameter uncertainties using a robust fixed-interval smoother, designed for uncertain systems satisfying a certain integral quadratic constraint. We observe that such a robust smoother provides improved worst-case performance over the optimal smoother and also performs better than a robust filter for the uncertain system.application/pdfKeywords: Uncertain systems; Uncertainty analysis; Continuous phase; Estimation process; Integral quadratic constraints; Parameter uncertainty; Phase estimation; Resonant process; Static estimation; Worst-case performance; Parameter estimation201410.1109/ECC.2014.68623852018-11-29