| The Boost converter can be said to be one of the most widely used nonlinear systems.Due to its high-frequency switching characteristics,especially under specific circuit parameters,where chaotic phenomena may occur and cause adverse effects on the stable operation of the entire system.Therefore,investigating the occurrence of non-linear phenomena in the Boost converter and formulating control strategies are of great significance for further enhancing the performance and stability of the Boost converter system.In order to solve the bifurcation and chaos behavior of the Boost converter caused by certain circuit parameters,this paper analyzes the working principle of the Boost converter,establishes two mathematical models,and verifies the existence of bifurcation and chaos behavior through simulation analysis.The main work done in this paper to control this behavior is as follows:(1)An analysis was conducted on the causes of bifurcation and chaos phenomena caused by single bifurcation parameter changes,and the changes in system behavior before and after bifurcation parameter changes were compared to further illustrate the process from bifurcation to chaos.(2)Based on the feedback concept,control strategies of segmented underdamped pole configuration and segmented overdamped pole configuration are proposed.The simulation results verify that these strategies can adjust the bifurcation and chaos states of the system to single-period orbit.(3)Nonlinear feedback control was designed and a method for nonlinear feedback parameter design was proposed,greatly facilitating the design of feedback parameters.The effectiveness of the nonlinear feedback control and feedback parameter design method was verified through simulations.(4)In order to solve the bifurcation and chaotic behaviors caused by multiple bifurcation parameters in the system,we summarized the mathematical relationships among multiple bifurcation parameters through extensive data calculation.The simulations showed that the bifurcation behavior of the system can be predicted by this mathematical relationship.(5)To control the bifurcation and chaotic behaviors caused by multiple bifurcation parameters,a dual bifurcation parameter fuzzy controller was designed.The fuzzy rules were combined with the previously proposed nonlinear feedback parameter design method and the mathematical relationship among multiple bifurcation parameters,to control the bifurcation and chaos caused by changes in two bifurcation parameters.The simulation verified that this control strategy could control the bifurcation and chaotic behaviors caused by dual bifurcation parameters under different conditions to a single periodic orbit. |