Several papers reviewing fractional order calculus in control applications have been
published recently. These papers focus on general tuning procedures, especially for the …

The theory and applications of fractional calculus (FC) had a considerable progress during
the last years. Dynamical systems and control are one of the most active areas, and several …

In this paper, a comparative study is done on the time and frequency domain tuning
strategies for fractional order (FO) PID controllers to handle higher order processes. A new …

Designing the parameters of a PI-PD controller is very challenging. Consequently, the
centroid of the convex stability boundary locus approach was employed to overcome this …

This paper proposes a design method for a robust fractional-order PID (FOPID) controller for
time-delay systems. A new Bode's ideal transfer function is introduced to tolerance the time …

The principal goal of this paper is to introduce the fundamentals of the Fractional Order
Calculus (FOC), outline its possible application to the field of analysis and synthesis of …

An integral–proportional derivative (I–PD) control strategy for integrating plus time‐delay
processes is proposed. The proposed scheme consists of an inner PD loop and an outer I …

This study presents a comprehensive delay‐dependent stability analysis of a micro‐grid
system with constant communication delays. First, an exact method that takes into account …

In this paper, a fractional-order PI plus D (PI λ-D) structure is proposed for second-order
integrating plants. A feedback controller is designed to locate the integrating pole (s) to …

The aim of the present paper is to develop a new generalized form of the fractional kinetic
equation involving a generalized k-Mittag-Leffler function E k, ζ, η γ, ρ (⋅) E^γ,ρ_k,ζ,η(⋅) …