Half-integrator approximation analysis and its realizations

Due to the absence of appropriate mathematical methods, fractional order dynamic systems were studied only marginally in both theory and practice. In this paper, continuous-time and discrete-time approximations of half integrator have been analyzed and compared. An approach for the realization of half integrator is also presented. MATLAB simulation results are presented and comparisons performed with the ideal continuous-time domain half integrator. Analog Realizations of some of the s-domain models has also been discussed. Discrete Realizations of the z-domain models have been developed and results compared with the ideal continuous-time domain models.