This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with fractional Caputo operator. The properties considered model such as equilibria and its stability are also presented. existence results uniqueness solutions for suggested analyzed using tools from fixed point theory. is numerically graphically various orders. It observed that operator has significant i...

A Caputo-type fractional-order mathematical model for "metapopulation cholera transmission" was recently proposed in [Chaos Solitons Fractals 117 (2018), 37--49]. sensitivity analysis of that is done here to show the accuracy relevance parameter estimation. Then, a fractional optimal control (FOC) problem formulated and numerically solved. cost-effectiveness performed assess studied measures. M...

This paper deals with a novel approach to the fractional-order model predictive control in state space. Except well-known models of processes (plants) arbitrary (real) order derivatives fractional differential equations new performance index (cost function) and action are considered. Such combined provides more degrees freedom incorporates dynamics into form memory due property operator. An ill...

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...

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...