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...

A hybrid projective synchronization scheme for two identical fractional-order chaotic systems is proposed in this paper. Based on the stability theory of fractional-order systems, a controller for the synchronization of two identical fractional-order chaotic systems is designed. This synchronization scheme needs not to absorb all the nonlinear terms of response system. Hybrid projective synchro...

Abstract In this paper, an online optimization approach of a fractional-order PID controller based on actor-critic algorithm (FOPID-FOAC) is proposed. The proposed FOPID-FOAC scheme exploits the advantages FOPID and FOAC approaches to improve performance nonlinear systems. built by developing FO-based learning for neural network with adaptive rates. Moreover, FO rectified linear unit (RLU) intr...

Aiming at the characteristics of permanent magnet synchronous motor (PMSM) such as strong coupling and nonlinearity, we propose a fractional-order control scheme for the speed control of PMSM system based on the analysis of the fractional calculus theory. The simulation is conducted by using Matlab / Simulink. Simulation results indicate that the fractional-order PI controller can improve the d...

Here a innovative approach of Auto tuned fractional order control is proposed for fault tolerant control of Autonomous Underwater Vehicle (AUV). From fault detection and reconfiguration, fractional order controller is designed. Reconfiguration is designed using Eigen structure assignment technique. The proposed approach is tested on REMUS-100 AUV model. Variable step input is used as a referenc...

In this paper, multi-objective optimization is used for Pareto optimum design of fuzzy fractional-order PID controllers for plants with parametric uncertainties. Two conflicting objective functions have been used in Pareto design of the fuzzy fractional-order PID controller. The results clearly show that an effective trade-off can be compromisingly achieved among the different fuzzy fractional-...

A nonlinear chattering-free sliding mode control method is designed to stabilize fractional chaotic systems with model uncertainties and external disturbances. The main feature of this controller is rapid convergence to equilibrium point, minimize chattering and resistance against uncertainties. The frequency distributed model is used to prove the stability of the controlled system based on dir...

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...

The problem of the dual synchronization of two different fractional-order chaotic systems is studied. By a linear controller, we realize the dual synchronization of fractional-order chaotic systems. Finally, the proposed method is applied for dual synchronization of Van der Pol-Willis systems and Van der Pol-Duffing systems. The numerical simulation shows the accuracy of the theory.