Period-doubling bifurcation analysis and chaos control for load torque using FLC

Abstract

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.

Automated blood glucose regulation for nonlinear model of type-1 diabetic patient under uncertainties: GWOCS type-2 fuzzy approach

“…FLC have gained popularity in the last two decades where it doesn’t depend on the mathematical model of the controlled system, it depends on the designer’s previous experiences and his knowledge about the controlled system, this knowledge and experiences about the system are expressed in the form of (IF–THEN) rules, then this rules are incorporated into FLC on how to best control the system, thereby FLC emulate the decision making process of the human that enable us to utilize our previous experience and knowledge about the controlled system [ 37 ].…”

Backstepping global and structural stabilization of direct current/direct current boost converter

“…Researchers were mainly interested in the design of the adequate and the effective methods of analysis and control to achieve requirements like stability, 11 performances, and to deal, as well, with physical limitations of the converter elements. To this end, fuzzy logic‐based techniques are used in many works 12,13 and ensured satisfactory results. Nevertheless, fuzzy logic techniques need an accurate knowledge of the system behavior based on the human experience.…”

Backstepping Global and Structural Stabilization of DC/DC Boost Converter

“…Researchers were mainly interested in the design of the adequate and the effective methods of analysis and control to achieve requirements like stability, performances and to deal, as well, with physical limitations of the converter elements. To this end, fuzzy logic based techniques are used in many works [8,23] and ensured satisfactory results. Nevertheless, fuzzy logic techniques need an accurate knowledge of the system behavior based on the human experience.…”