Practical one-shot data-driven design of fractional-order PID controller: Fictitious reference signal approach.

This study proposes a one-shot data-driven tuning method for a fractional-order proportional-integral-derivative (FOPID) controller. The proposed method tunes the FOPID controller in the model-reference control formulation. A loss function is defined to evaluate the match between a given reference model and the closed-loop response while explicitly considering the closed-loop stability. A loss function value is based on the fictitious reference signal computed using the input/output data. Model matching is achieved via loss function minimization. The proposed method is simple and practical: it needs only one-shot input/output data of a plant (no plant model required), considers the bounded-input bounded-output stability of the closed-loop system from a bounded reference input to a bounded output, and automatically determines the appropriate parameter value via optimization. Numerical simulations show that the proposed approach facilitates good control performance, and destabilization can be avoided even if perfect model matching is unachievable. • Practical data-driven design method for FOPID controller is developed. • The proposed method requires only one-shot input/output experimental data. • Closed-loop stability is explicitly considered in the proposed scheme. • Model matching is achieved via numerical optimization. • Numerical simulations show the validity of the proposed approach. [ABSTRACT FROM AUTHOR]