A Geometric Perspective on Bifurcation Control
Yong Wang and Richard M. Murray
2000 Conference on Decision and Control
In this paper, we analyze the problem of bifurcation control from a
geometric perspective. Our goal is to provide coordinate free,
geometric conditions under which control can be used to alter the
bifurcation properties of a nonlinear control system. These
insights are expected to be useful in understanding the role that
magnitude and rate limits play in bifurcation control, as well as
giving deeper understanding of the types of control inputs that are
required to alter the nonlinear dynamics of bifurcating systems. We
also use a model from active control of rotating stall in axial
compression systems to illustrate the geometric sufficient
conditions of stabilizability.
Conference Paper
(PDF, 184K, 6 pages)
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Richard Murray
(murray@cds. caltech.edu)