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Effects of Magnitude Saturation in Control of Bifurcations 
Abstract 
Motivated by problems such as active contr … Motivated by problems such as active control of rotating stall in compression systems,
an analysis of the effects of controller magnitude saturation in feedback stabilization of
steadystate bifurcations is performed. In particular the region of attraction to the
stabilized bifurcated equilibria is solved for feedback controllers with magnitude
saturation limits using the technique of center manifold reduction and bifurcation
analysis. It has been shown that the stability boundary is the saturation envelope formed
by the unstable (or stable) equilibria for the closed loop system when the controllers
saturate. The framework allows the design of feedback control laws to achieve desirable
size of region of attraction when the noise is modeled as a closed set of initial
conditions in the phase space. It is also possible to extend the techniques and results to
Hopf bifurcations. chniques and results to
Hopf bifurcations. +


Authors  Yong Wang and Richard Murray + 
ID  1998l + 
Source  1999 IFAC World Congress + 
Tag  wm99ifac + 
Title  Effects of Magnitude Saturation in Control of Bifurcations + 
Type  Conference Submission + 
Categories  Papers 
Modification date This property is a special property in this wiki.

15 May 2016 06:19:40 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/wm99ifac.pdf + 
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Effects of Magnitude Saturation in Control of Bifurcations +  Title 
