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A Geometric Perspective on Bifurcation Control
Abstract In this paper, we analyze the problem of b …
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.
ufficient conditions of stabilizability.  +
Authors Yong Wang and Richard M. Murray  +
ID 2000i  +
Source 2000 Conference on Decision and Control  +
Tag wm00-cdc  +
Title A Geometric Perspective on Bifurcation Control +
Type Conference Paper  +
Categories Papers
Modification date
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15 May 2016 06:19:23  +
URL
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http://www.cds.caltech.edu/~murray/preprints/wm00-cdc.pdf  +
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A Geometric Perspective on Bifurcation Control + Title
 

 

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