Bifurcation control of guideway stick-slip motion with washout filter

Control of Hopf bifurcation in guideway stick-slip motion by using Washout filter was studied. The point at which the Hopf bifurcation to be introduced was determined. Then the linear and nonlinear control gains were determined according to Hopf bifurcation condition in order to transfer the sub-critical Hopf bifurcation to be super-critical one. The result shows that the amplitude of slide-slip of the controlled guideway system is reduced to 14% of that of the uncontrolled system. Theoretical analysis and computer simulation show that Washout filter method can work well in Hopf control of guideway stick-slip motion.