Fractional System Identification using Binary Measurements

This paper focuses on the identification of commensurate fractional order systems from binary measurements on the output. The proposed algorithm allows the estimation of both the parameters of the model and the commensurate order. The algorithm is based on a specific design of the output signal as a sum of sinusoids. It allows the parametrization of the output signal on a basis of sinusoids and the estimation of the high resolution output. Numerical simulation results are provided to show the efficiency of the method.