Identification of a second-species commensurate fractional order transfer function from a step response with overshoot or oscillations

Key Points

• Identifying the second-species commensurate fractional order transfer function involves analyzing step responses that exhibit overshoot.
• The method requires only two points from the step response, specifically their time and amplitude, simplifying the process significantly.
• This approach highlights the ability to work with complex behaviors, such as overshoot or oscillations, during system identification.
• The applicability of these methods supports efficient modeling in fields requiring dynamic system analysis, like control engineering.