Introducingbasicdesignmethodologyfordevelopingbacksteppingnonlinearcontrollerforvibrationcontrolsystem.Withasimplifiedsecond-ordersystemmodelofnonlinearvibrationsystem(Duffing’sequation),where,theprocesshasillustratedthebacksteppingdesignstep-by-step.Backsteppingisanovelnonlineardesigntool,whichisbasedonconstructingtheLyapunovfunctionfortheclosed-loopsystemsandguaranteesthestabilityandtrackingperformancethroughenergydissipation.Ingeneral,thisnonlinearcontroldesignapproachgeneratesaggressivecontrolefforttoreducethetrackingerrorpresentedinthiscontrolsystemandsignificantlyimprovethesystembandwidth.Theeffectivenessofthedesignschemeisshownthroughthecomputersimulation.
