PID controller is the most widely used controller in industry for control applications due to its simple structure and easy parameter adjusting.But increase in complexity of control systems has introduced many modified PID controllers.The recent advancement in fractional order calculus has introduced fractional order PID controller and it has recieved a great attention for researchers.Fractiona...

This paper deals with the design of Fractional Order Proportional Integral (FO-PI) controller for the speed control of DC motor. A mathematical model of DC motor control system is derived and based on this model fractional order PI controller is designed using stability boundary locus method to satisfy required gain margin (GM) and phase margin (PM) of the system. Servo and Regulatory tracking ...

The Proportional-Integral-Derivative Controller is widely used in industries for process control applications. Fractional-order PID controllers are known to outperform their integer-order counterparts. In this paper, we propose a new technique of fractional-order PID controller synthesis based on peak overshoot and rise-time specifications. Our approach is to construct an objective function, th...

This paper presents a new observer based fuzzy terminal sliding mode controller design for a class of fractional order nonlinear systems. Robustness against uncertainty and disturbance, the stability of the close loop system and the convergence of both the tracking and observer errors to zero are the merits of the proposed the observer and the controller. The high gain observer is applied to es...

This paper present the development of new tuning method and performance for Genetic Algorithm based Fractional order PID controller ,fractional order PID controller include the conventional order PID controller parameter. The tuning of the PID controller is mostly done using Zeigler and Nichols tuning method. All the parameters of the controller, namely p K (Proportional gain), i K (integral ga...

Fractional order PID controller has two degrees of freedom more than the integer order PID controller,and it has better control performance. The paper briefly describes the fractional order PID controller, and through Ziegler-Nichols type tuning rules, Padula & Visioli tuning rules and tuning by minimization methods to achieve fractional order PID controllers respectively. Additionally, the Ous...

— The objective of this work is to nd out optimum settings for a fractional PI D controller in order to ful l ve different design speci cations for the closed-loop system, taking advantage of the fractional orders, and . Since these fractional controllers have two parameters more than the conventional PID controller, two more speci cations can be met, improving the performance of the system. Fo...

This paper deals with the feedback control of a DC motor speed with using the fractional-order controller. The permanentmagnet DC motor is often used in mechatronic and other fields of control theory and therefore its control is very important. The mathematical description of the fractional order controller and its implementation in the analogue and the discrete domains is presented. An example...

At the end of the 19th century Liouville and Riemann introduced the notion of a fractional-order derivative, and in the latter half of the 20th century the concept of the so-called Grünewald-Letnikov fractional-order discrete difference has been put forward. In the paper a predictive controller for MIMO fractional-order discrete-time systems is proposed, and then the concept is extended to nonl...