This paper presents an adaptive hybrid fuzzy controller to achieve prescribed tracking performance of fractional order chaotic systems. Depending on plant knowledge and control knowledge, a weighting factor can be adjusted by combining the indirect adaptive fuzzy control effort and the direct fuzzy adaptive control effort. Nonlinear fractional order chaotic response system is fully demonstrated...

Fractional order calculus is currently experiencing a wide application in controlling different types of processes. The focus has been directed towards the design of robust controllers for single-inputsingle-output systems, with very few tuning examples for the multivariable ones. The purpose of the present paper is to describe a simple and effective method for designing a multivariable fractio...

This paper studied the implementation of fractional order PID controller for the control of an induction motor (IM). The perfection of the system performance in terms of response time and robustness is illustrated by adjusting the fractional order integral action and derivative action. A comparative study with a conventional PID controller is carried out. The observer is simple and robust, and ...

A new design method of fractional-order proportional-integral controllers is proposed based on fractional calculus and Bode's ideal transfer function for a first-order-plus-dead-time process model. It can be extended to be applied to various dynamic models. Tuning rules were analytically derived to cope with both set-point tracking and disturbance rejection problems. Simulations of a broad rang...

A method is proposed for automatic synthesis of quantitative feedback theory (QFT) based robust fractional-order controllers. The problem of QFT controller synthesis is formulated as an interval constraint satisfaction problem, where the nonlinear and non-convex robust stability and tracking bound specifications form the constraints. The problem is solved using the branch and prune algorithm. A...

*Correspondence: [email protected] 1College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, 210003, China Full list of author information is available at the end of the article Abstract In this paper, we put forward a fractional-order survival red blood cells model and study the dynamics through the Hopf bifurcation. When the delay transcends the threshold, a...

In this work, a class of fractional order controller (FOPID) is tuned based on internal model control (IMC). This tuning rule has been obtained without any approximation of time delay. Moreover to show usefulness of fractional order controller in comparison with classical integer order controllers, an industrial PID controller tuned in a similar way, is compared with FOPID and then robust stabi...

This paper presents a new application of a fractional order control system which controls the input energy to a three phase electric arc furnace. Graphite electrodes are used to convert electrical energy into heat via phase electric arcs. Constant arc length is desirable as it implies steady energy transfer from the graphite electrodes to the metallic charge in the furnace bath. With the charge...

Random delays have serious effects in networked control systems, which deteriorate the performance and may even cause instability of the system. Hence a controller which can make the plant stable at large values of delay is always desirable in NCS systems. Our previous work on OFOPI controller showed that fractional order PI controllers have larger jitter margin (maximum value of delay for whic...

Design of fractional order PID (FOPID) controller for DC motor is proposed in this paper. A FOPID (PID) is a PID controller whose derivative and integral orders are fractional numbers rather than integers. Design stage of such controller consists of determining six parameters – proportional constant (Kp), integral constant (Ki), derivative constant (Kd), filter time constant (τd), integral orde...