Nonsmooth bifurcation control: from fractional power control to trumpet bifurcation

Abstract

In this paper, the problem of nonsmooth bifurcation control is addressed. The design technique is based on the so-called fractional power control, i.e. nonsmooth feedback laws with terms of fractional powers. A new special bonder-collision bifurcation, namely the trumpet bifurcation, is introduced by the nonsmooth control action. First, investigations are carried out for representative first- and second-order systems. Then, as an application, the control of rotating stall in axial flow compressors is pursued using factional power control, based on a third-order model.