Abstract
The noticeable lag in the development of fractional-order controllers
through direct synthesis, compared to their PID counterparts,
underscores a clear challenge. To counteract this trend and explore
novel control structures, a dual approach involving hardware synthesis
and parameter optimization is imperative. This study primarily focuses
on hardware synthesis, investigating four scenarios that combine various
integer and fractional-order models for both the plant and the desired
closed-loop transfer function. Anchored in Oustaloup’s fractional-order
derivative approximation, the approach utilizes biquadratic filters and
adder amplifiers for synthesis. The method’s validity is demonstrated
through numerical simulations of two examples and experimental
characterization of one of them. The latter involves the use of two
AN231E04 Field Programmable Analog Arrays. The ensuing response
effectively showcases the dynamic behavior of a three-term fractional
system with an order of 2α=49.2, a natural frequency ω n
=49 rad/s, and a damping factor of ζ=− 0.1. The
results underscore the practical viability of the proposed approach,
laying a foundation for its application in real-world scenarios.