Nonlinear vibrations control of a contact-mode AFM model via a time-delayed positive position feedback

摘要: Abstract In this work, the nonlinear vibrations of a contact-mode atomic force microscopy (AFM) model subjected to multi excitations are controlled via time-delayed positive position feedback (PPF) controller. A perturbation method is implemented obtain approximate dynamical behavior AFM system. Different response curves, before and after control, included utilizing frequency equations. At multiple resonance cases (primary, sub-harmonic, internal), gain effects on vibration amplitude stability system studied. The acquired results revealed that PPF controller efficient in reducing studied oscillations. efficiency E was about 193 , means reduced by 99.5%. For increasing signal α 2 region τ 1 - plane shrinking. Finally, verification curves plotted depict degree closeness between analytical predictions numerical simulation.