Bifurcation and chaos in power exponential reaching law sliding mode controlled inverter

WU Rong-hua; ZHANG Xiao-hong; JIANG Wei

doi:10.7641/CTA.2024.30167

Abstract：Aiming at the frequent bifurcation and chaos in sliding mode controlled inverters,the power exponential reaching law sliding mode controlled inverter system was constructed based on the existence and arrival conditions of s-liding modes in this paper.A discrete mathematical model was derived using stroboscopic mapping theory,the complex dynamic evolution of this inverter was analyzed in detail using folding diagrams,spectrum diagrams and bifurcation di-agrams,and the stability working domain of system's control coefficients was explored based on the fast-scale stability theorem.It was found that period-doubling bifurcation,tangential bifurcation,paroxysmal chaos and coexistence of multi-ple period-doubling states as the control coefficients and internal circuit parameters vary within a certain range respectively,as well as a narrow stability domain of the control coefficient,which affects the system's stability seriously.In order to overcome the hidden issues of system's instability caused by parameters vary,the chaos suppression method of Washout filter was introduced into the power exponential reaching law sliding mode controlled inverter.The proposed method not only improves the system's nonlinear characteristics based on the bifurcation inverse control principle,but also has the advantages of being easy to implement and simple to control.The numerical simulation results verified the feasibility and effectiveness of this chaos control strategy.The findings can be used to provide some reference for the optimal design,dynamic debugging and steady-state operation of power exponential reaching law sliding mode controlled inverter.