On controlling of vibrations of a suspended cable via positive position feedback controller

The positive position feedback controllers are used for minimizing vibrations of the suspended cable under external and parametric forces. The multiple scale method is applied to deduce several resonance cases; the worst resonance case is simultaneous resonance case (one-to-one internal and primary) that is studied to get the response of the nonlinear system. The equations of frequency response are in use to investigate the stability of the obtained solution. Numerically, we used Matlab (R2014a) to take out the solution of the system. All different parameters effectiveness of the suspended cable is investigated.