In this paper, we discuss in time domain the convergence of the iterative process for fractional-order systems. Fractional order iterative learning updating schemes are considered. The convergent conditions of the fractional-order and integer-order iterative learning schemes are proved to be equivalent. It is shown in Matlab/Simulink results that the tracking speed is the fastest when the syste...

‎in this paper, we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (pmsm) system. the necessary condition for the existence of chaos in the fractional-order pmsm system is deduced and an active controller is developed based on the stability theory for fractional systems. the presented control scheme  is simple and flexible, and it is suitable both fo...

The optimal fractional order should be determined for image denoising by 2-D fractional wavelet transform (FWT). However, the actual application environment is complex, and the input image has already been polluted by unknown noise frequently in the process of capture and transmission. It is impossible to get the optimal fractional order on the basis of the objective evaluation standard in exis...

  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...

This paper presents a robust fractional order controller for flexible-joint electrically driven robots under imperfect transformation of control space. The proposed approach is free from manipulator dynamics, thus free from problems associated with torque control strategy in the design and implementation. As a result, the proposed controller is simple, fast response and superior to the torque c...

This paper presents a robust fractional order controller for flexible-joint electrically driven robots under imperfect transformation of control space. The proposed approach is free from manipulator dynamics, thus free from problems associated with torque control strategy in the design and implementation. As a result, the proposed controller is simple, fast response and superior to the torque c...

Quadrotor systems are becoming increasingly popular in various applications due to their maneuverability and versatility. Controlling these accurately is crucial ensure stability safety. This research paper proposes the implementation of two advanced controllers with integer fractional order quadrotor systems. The purpose study enhance control performance, robustness, accuracy system, highlight...

This paper focusses on the design of optimal control strategies for a variable-speed wind energy system based Permanent Magnet Synchronous Generator (PMSG). The fractional order PI controller, denoted PIλ, is an extension classical which provides greater flexibility, better performance and robustness, however tuning controller parameters challenging. In this work, Particle Swarm Optimization (P...