The current study endeavors to put together evolution, developments, and future prospects
of internal model control strategy. Due efforts have been made to include all the techniques …

Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …

This study deals with a generalised version of lead/lag compensators known as fractional‐
order lead/lag compensators. Exact and simple formulas are found for designing this …

This paper is concerned with observer-based stabilization for fractional-order descriptor
systems with order 1≤ α< 2. A necessary and sufficient condition is proposed for the control …

Fractional order PI and PID controllers are the most common fractional order controllers
used in practice. In this paper, a simple analytical method is proposed for tuning the …

Elementary fractional transfer functions are studied in this paper. Some basic properties of
elementary transfer functions of the first kind are recalled. Then, two main results are …

In this paper, conditions for checking the realizability of fractional-order impedance functions
by passive networks composed of a fractional element (either a fractional capacitor or a …

A novel numerical approximation scheme is proposed for fractional order systems by the
concept of identification. An identical equation is derived firstly, from which one can obtain …

This paper deals with realization of fractional-order impedance functions by passive
electrical networks composed of a fractional capacitor and some RLC components. The …

A procedure for approximating fractional-order systems by means of integer-order state-
space models is presented. It is based on the rational approximation of fractional-order …