Reduced Spread Fractional-Order PID Controller Designs

A fractional-order controller topology for solving the problem of the extremely large spread of passive elements values, when the order of the required integration and/or differentiation approaches unity, is presented in this work. This is achieved through the decomposition of the corresponding process into intermediate parts, containing an integer-order and a reduced-order fractional part. The resulting functional block diagram is implemented using Operational Amplifiers as active cells. The provided controller design example proves the concept through simulation results derived using the OrCAD PSpice emulator and using the model of the OP27 operational amplifier discrete IC component.

Automated summary

This work presents a fractional-order controller topology to address the issue of the extremely large spread of passive elements values when the integration and/or differentiation order approaches unity. The approach involves decomposing the process into intermediate parts, containing integer and reduced-order fractional parts. The functional block diagram is implemented with Operational Amplifiers as active cells, and a controller design example demonstrates the concept through simulation results using OrCAD PSpice emulator and OP27 operational amplifier discrete IC component model.