Fractional calculus has been studied for over three centuries, and it has multifarious
applications in science and engineering. This review investigates its progress since the first …

In this paper, atom search optimization (ASO) algorithm and a novel chaotic version of it
[chaotic ASO (ChASO)] are proposed to determine the optimal parameters of the fractional …

The processes which contain at least one pole at the origin are known as integrating
systems. The process output varies continuously with time at certain speed when they are …

A novel fractional order (FO) fuzzy Proportional-Integral-Derivative (PID) controller has been
proposed in this paper which works on the closed loop error and its fractional derivative as …

One of the reasons of the great success of standard PID controllers is the presence of simple
tuning rules, of the automatic tuning feature and of tables that simplify significantly their …

In this paper, a fractional order (FO) PIλDμ controller is designed to take care of various
contradictory objective functions for an automatic voltage regulator (AVR) system. An …

Fractional order calculus is finding increasing interest in the control system community.
Hardware realizations of fractional order controllers have sparked off a renewed zeal into …

A fractional order (FO) PID or FOPID controller is designed for an Automatic Voltage
Regulator (AVR) system with the consideration of contradictory performance objectives. An …

Fractional order controller design with a small number of tuning parameters is very attractive.
Few attempts have been done recently for some limited cases of models. In this paper, a …

The continuous and discrete time Linear Quadratic Regulator (LQR) theory has been used
in this paper for the design of optimal analog and discrete PID controllers respectively. The …