Low Frequency Applicable Fractional order Differintegrators design based on Novel Interpolated transform
K. Rajasekhar
Abstract
Design of low frequency suitable fractional order digital integrators and differentiators using interpolated transform is the main objective of this paper. Firstly, the new digital integrators is investigated by interpolating the Al-Alaoui integrator and Euler's backward integration rule. The proposed integrator performance is reasonably good in the frequency range 0 ≤ω≤1.32 rad compared to the popular existing integrators. In this, continued fraction expansion (CFE) and indirect discretization scheme are used for the design of half order and one-fourth differentiators as well integrators. The performance of these designed differ-integrators are compared with the existing ones namely Tustin, Al-Alaoui SKG, Modified Particle Swarm Optimization (MPSO) and etc. The relative magnitude error (RME) plot in dB, magnitude and phase responses are observed by use of MATLAB software. From the RME plot, it is evident that the designed half order and one-fourth digital differ-integrators are well suited upto half of Nyquist range.