Circuit design for multiple-order system with fractional power using singularity function approach / Nor Hasalina Abu Bakar

A fractional slope on the log-log bode plot has been observed in characterizing a certain type of physical phenomena and has been called the fractal system or the fractional power pole. This thesis present the analysis and synthesis of multiple fractal system with fractal dimension 0 < m, < 1. Multiple fractal system consists of numbers of fractional power pole. A singularity function method is used to approximate the fractional-order function. This method represents the structure of pole-zero pairs on the real axis. The function is then synthesized to circuit form and simulated using PSPICK for its frequency and unit-step responses. The simulation results are presented and compared with the responses from the approximated function that were plotted using MATHCAD.