NOVEL SPECIAL FUNCTION BASED FPGA HARDWARE SYSTEM FOR TIME DOMAIN RESPONSE CALCULATION OF LINEAR FRACTIONAL-ORDER SYSTEM.

摘要

The main hurdle in the popularity of fractional-order systems and controllers, especially in industry, is the difficulty in their efficient hardware realization. Fractional-order systems are infinite memory systems and hence their simulation and implementation on limited memory hardware has been a problem well reported in the literature. There are many limited-memory approximations available but these come with issues like numerical stability, ill-conditioned coefficients, and validity in the particular frequency band. The proposed invention is an FPGA based hardware setup for generating the real-time response of a linear fractional-order system for any arbitrary input. The setup uses the concept of convolution of input signal with eigen functions of fractional-order differential equations (Mittag-Leffler function) for a fast and reliable real-time response of a fractional-order system. The invention does not use any limited memory approximation of fractional-order system. The setup is reconfigurable and can be used for hardware-in-loop experimentation.