Chaos Suppression Control of a Vibration Isolation System with
Magneto-rheological Damper
Abstract
A two degree-of-freedom vibration isolation system with
magneto-rheological damper (MRVIS) is analyzed. Under the harmonic
excitation, the nonlinear behaviors are discovered. With the excitation
frequency increased, the period-doubling bifurcation and saddle node
bifurcation, route to chaos are found. Then, the system returns to
steady state through the route out of chaos, with inverse
period-doubling bifurcation. Furthermore, a sliding mode controller
through tracking the error between actual and ideal state system, is
proposed to suppress the increasing amplitude of the system caused by
the chaos. Both the calculation and experiment show that the chaotic
motion is effectively repressed.