Investigation of chaotic behavior and adaptive type-2 fuzzy controller approach for Permanent Magnet Synchronous Generator (PMSG) wind turbine system

Abstract

<abstract> <p>This article begins with a dynamical analysis of the Permanent Magnet Synchronous Generator (PMSG) in a wind turbine system with quadratic nonlinearities. The dynamical behaviors of the PMSG are analyzed and examined using Poincare map, bifurcation model, and Lyapunov spectrum. Finally, an adaptive type-2 fuzzy controller is designed for different flow configurations of the PMSG. An analysis of the performance for the proposed approach is evaluated for effectiveness by simulating the PMSG. In addition, the proposed controller uses advantages of adaptive type-2 fuzzy controller in handling dynamic uncertainties to approximate unknown non-linear actions.</p> </abstract>

Controlling the unpredictable: bifurcation and backstepping strategies in supply chain dynamics

“…The reverse period-doubling route refers to a phenomenon in nonlinear dynamics where a dynamic system undergoes a sequence of bifurcations that lead to the reduction of the period of oscillations rather than an increase [25]. In a standard period-doubling bifurcation, the period of oscillations doubles as a control parameter is varied, leading to a sequence like 1, 2, 4, 8, etc.…”

Multistability Analysis and Adaptive Feedback Control on a New Financial Risk System

“…The chaotic system is very important in modeling and application of many phenomena and actual systems in various fields, such as a ship's roll motion under symmetrical longitudinal waves [1], magnet levitated over a superconductor [2], suspension control for rail vehicle system [3], successive half sine speed bumps with a nonlinear air suspension system [4], wireless mobile robot [5], visible light communication systems [6], epilepsy and epileptic seizure detection [7], mesoscale-coupled memristor Bi-neuronal Morris-Lecar network [8], System of wind turbines with a permanent magnet synchronized generator (PMSG) [9], FPGA implementation and its image encryption [ [10]. Recently, research on financial risk (FR) system's chaotic behavior has also become a very important domain in both micro and macroeconomics.…”