The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

Fractional-order systems and controls utilize concepts from fractional calculus for modelling,
control designs, and practical applications. However, it can be challenging to transform …

A new category of fractional-order filters, realized without employing a fractional-order
Laplacian operator is introduced in this work. This can be achieved through the utilization of …

This paper deals with the study and analysis of several rational approximations to approach
the behavior of arbitrary-order differentiators and integrators in the frequency domain. From …

Managing industrial processes in real-time is challenging due to the nonlinearity and
sensitivity of these processes. This unpredictability can cause delays in the regulation of …

A detailed analysis of the recent developments on the realization of fractance device is
presented. A fractance device which is used to exhibit fractional order impedance properties …

This paper presents a novel PI λ 1 I λ 2 D μ 1 D μ 2 controller for the automatic voltage
regulator (AVR) system. The AVR system controls the terminal voltage of synchronous …

The main goal of this work is to exploit different tools in order to approximate a general
double exponent fractional-order transfer function. Through the appropriate selection of the …

A generalized structure for implementing fractional-order controllers is introduced in this
paper. This is achieved thanks to the consideration of the controller transfer function as a …

In the literature, fractional models are commonly approximated by transfer functions with a
geometric distribution of poles and zeros, or equivalently, using electrical Foster or Cauer …