A robust control-design method using Bode´s ideal transfer function

We propose a method for designing loop-shaping controllers using Bode´s ideal transfer function. Bode´s ideal transfer function is introduced using fractional calculus. The ideal loop transfer function is approximated using the first generation CRONE approximation, and then implemented by means of H_∞-optimization followed by closed-loop controller order reduction of the resulting controller. The design method is confirmed to be powerful and robust by simulating on a flexible transmission system.