Research on active vibration control method of variable order oscillator

摘要

In the paper, a dimensionless version of the model oscillator is studied, the equation of motion is given as D2x(t)+c0D(1+x2)/2x(t)+k0D0x(t)=F(t). Considering that the approximation expression of variable order(VO) differential operator is more complicated, it is difficult to design directly the controller, based on the curve analysis of displacement versus time, a truncation mode of VO differential operator is proposed, an optimal controller is developed for the VO differential equation under study in order to reduce the dynamic responses.