Controlling Hopf–Hopf interaction bifurcations of a two-degree-of-freedom self-excited system with dry friction

摘要

The feedback control problem of designing Hopf–Hopf interaction bifurcations into a dry friction system at a pre-specified parameter point is addressed. A new bifurcation criterion without using eigenvalues is established to preferably determine the control gains. Numerical simulation shows that the torus solution of Hopf–Hopf interaction bifurcation can be created in the friction system at a desired parameter location.