Dynamic feedback control of bifurcations

Bifurcation control deals with the modification of the bifurcation characte ristics of a parameterized nonlinear system by a judiciously designed contr ol input. In this paper, we consider the problem of dynamic feedback contro l of bifurcations. In particular, previous results on the control of bifurc ations using washout filters are extended to some general forms of dynamic feedback controllers. Ht is shown that any stable rational high-pass filter can be transformed into an extension of washout filter to construct a spec ial form of dynamic feedback controller, The control effect on bifurcations can be readily assessed by analytical formulae, These dynamic feedback con trollers offer more flexibility over the original controller in bifurcation control. The results are viable for the design and analysis of nonlinear c ontrol systems involving bifurcations.