Fractional order dynamic model could model various real materials more adequately than integer order ones and provide a more adequate description of many actual dynamical processes. Fractional order controller is naturally suitable for these fractional order models. In this paper, a fractional order PID controller design method is proposed for a class of fractional order system models. Better p...

abstract: this paper presents dynamic modelling and control of a linear prismatic series of elastic actuator. the capability of generating large torques is why this actuator is increasingly used in human-assistive robotic systems. due to having human in the loop, the actuator requires precise control. a fractional pid controller known for its improved performance is used for the control, due to...

The paper presents development of a new tuning method for fractional order PID controller for the systems which have integer order transfer functions. All the parameters of the controller, namely proportional gain kp, integral gain ki, derivative gain kd, fractional order of integrator λ and fractional order of differentiator μ can be obtained by using this method. It is clearly shown that the ...

This paper uses the Continued Fraction Expansion (CFE) method for analog realization of fractional order differ-integrator and few special classes of fractional order (FO) controllers viz. Fractional Order Proportional-Integral-Derivative (FOPID) controller, FO[PD] controller and FO lead-lag compensator. Contemporary researchers have given several formulations for rational approximation of frac...

Good way to the more efficient control of Higher Order Control System is to use fractional order PID controllers. In this paper, Fractional order PID Controller for Higher Order Control System is proposed and designed for 3 order control system. Podlubny proposed a generalization of the PID controller, namely the PI D controller, involving an integrator of order and a differentiator of order μ....

This paper presents a novel tuning algorithm for fractional order IMC controllers for time delay processes. The tuning algorithm is based on computing the equivalent controller of the IMC structure and imposing frequency domain specifications for the resulting open loop system. A second order time delay process is used as a case study. An integer order IMC controller is designed, as well as a f...

  This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...

In this paper, synchronization for a class of uncertain fractional-order neural networks subject to external disturbances and disturbed system parameters is studied. Based on the fractional-order extension of the Lyapunov stability criterion, an adaptive synchronization controller is designed, and fractional-order adaptation law is proposed to update the controller parameter online. The propose...

We propose a fractional-order controller to stabilize unstable fractional-order open-loop systems with interval uncertainty whereas one does not need to change the poles of the closed-loop system in the proposed method. For this, we will use the robust stability theory of Fractional-Order Linear Time Invariant FO-LTI systems. To determine the control parameters, one needs only a little knowledg...

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 the input and has a fractional integrator in its output. The fractional order differ-integrations in the proposed fuzzy logic controller (FLC) are kept as design variables along with the input-output scaling f...