https://murray.cds.caltech.edu/index.php?action=history&feed=atom&title=Effects_of_Magnitude_Saturation_in_Control_of_Bifurcations 2026-07-28T01:47:01Z Revision history for this page on the wiki MediaWiki 1.44.2 https://murray.cds.caltech.edu/index.php?title=Effects_of_Magnitude_Saturation_in_Control_of_Bifurcations&diff=19988&oldid=prev 2016-05-15T06:19:40Z

<p>htdb2wiki: creating page for 1998l_wm99-ifac.html</p> <p><b>New page</b></p><div>{{HTDB paper<br /> | authors = Yong Wang and Richard Murray<br /> | title = Effects of Magnitude Saturation in Control of Bifurcations<br /> | source = 1999 IFAC World Congress<br /> | year = 1998<br /> | type = Conference<br /> Submission<br /> | funding = AFPSR<br /> | url = http://www.cds.caltech.edu/~murray/preprints/wm99-ifac.pdf<br /> | abstract = Motivated by problems such as active control of rotating stall in compression systems,<br /> an analysis of the effects of controller magnitude saturation in feedback stabilization of<br /> steady-state bifurcations is performed. In particular the region of attraction to the<br /> stabilized bifurcated equilibria is solved for feedback controllers with magnitude<br /> saturation limits using the technique of center manifold reduction and bifurcation<br /> analysis. It has been shown that the stability boundary is the saturation envelope formed<br /> by the unstable (or stable) equilibria for the closed loop system when the controllers<br /> saturate. The framework allows the design of feedback control laws to achieve desirable<br /> size of region of attraction when the noise is modeled as a closed set of initial<br /> conditions in the phase space. It is also possible to extend the techniques and results to<br /> Hopf bifurcations. <br /> | flags = <br /> | tag = wm99-ifac<br /> | id = 1998l<br /> }}</div>

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