Chaotic phenomena are observed in several practical and scientific fields; however, the chaos is harmful to systems as they can lead them to be unstable. Consequently, the purpose of this study is to analyze the bifurcation of permanent magnet direct current (PMDC) motor and develop a controller that can suppress chaotic behavior resulted from parameter variation such as the loading effect. The nonlinear behaviors of PMDC motors were investigated by time-domain waveform, phase portrait, and Floquet theory. By varying the load torque, a period-doubling bifurcation appeared which in turn led to chaotic behavior in the system. So, a fuzzy logic controller and developing the Floquet theory techniques are applied to eliminate the bifurcation and the chaos effects. The controller is used to enhance the performance of the system by getting a faster response without overshoot or oscillation, moreover, tends to reduce the steady-state error while maintaining its stability. The simulation results emphasize that fuzzy control provides better performance than that obtained from the other controller.

在一些实践和科学领域中观察到了混沌现象。但是，混乱对系统有害，因为它们可能导致系统不稳定。因此，本研究的目的是分析永磁直流（PMDC）电动机的分叉，并开发一种控制器，该控制器可以抑制由于参数变化（例如负载效应）而导致的混沌行为。通过时域波形，相图和浮球理论研究了PMDC电动机的非线性行为。通过改变负载扭矩，出现了倍增的分叉，继而导致了系统中的混乱行为。因此，应用模糊逻辑控制器和发展的Floquet理论技术来消除分叉和混沌效应。控制器用于通过获得更快的响应而不会出现过冲或振荡的方式来增强系统的性能，此外，它还可以减少稳态误差，同时保持其稳定性。仿真结果强调，模糊控制比从其他控制器获得的性能更好。