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This paper presents a new design method of a fractional order PI (FO-PI) for time delay systems based on the min-max numerical optimization. The proposed method uses a constrained optimization algorithm to determine the unknown parameters of the controller and has an objective to improve the transient response, stability margin, stability robustness and(More)
This paper deals with fractional closed-loop system identification using the indirect approach. Firstly, all differentiation orders are supposed known and only the coefficients of the closed-loop fractional transfer function are estimated using two methods based on least squares techniques. Then, the fractional open-loop process is determined by the(More)
The paper deals with fractional residual evaluation. Three methods to evaluate fractional residuals generated by dynamic parity space method are presented. They are based on the fractional derivative approximations: the Grunwald, the pole-zero and the Diethelm approximations. They are compared in order to select the best method in terms of precision and(More)