https://murray.cds.caltech.edu/index.php?title=Bifurcation_Control_of_Rotating_Stall_with_Actuator_Magnitude_and_Rate_Limits&feed=atom&action=historyBifurcation Control of Rotating Stall with Actuator Magnitude and Rate Limits - Revision history2022-05-16T09:53:37ZRevision history for this page on the wikiMediaWiki 1.37.2https://murray.cds.caltech.edu/index.php?title=Bifurcation_Control_of_Rotating_Stall_with_Actuator_Magnitude_and_Rate_Limits&diff=19979&oldid=prevMurray: htdb2wiki: creating page for 1999h_wym99-automatica.html2016-05-15T06:19:32Z<p>htdb2wiki: creating page for 1999h_wym99-automatica.html</p>
<p><b>New page</b></p><div>{{HTDB paper<br />
| authors = Yong Wang, Simon Yeung, Richard Murray<br />
| title = Bifurcation Control of Rotating Stall with Actuator Magnitude and Rate Limits<br />
| source = <i>Automatica</i> 38(4):597-610 and 611-625<br />
| year = 2002<br />
| type = <br />
Preprint (parts I &amp; II) <br />
| funding = AFOSR<br />
| url = http://www.cds.caltech.edu/~murray/preprints/wym99-automatica.pdf<br />
| abstract = Nonlinear qualitative analysis is performed on the Moore-Greitzer <br />
model to evaluate the tradeoff of fluid noise, actuator magnitude saturation, <br />
bandwidth, rate limits, and the shape of compressor characteristics in active <br />
control of rotating stall in axial compressors with bleed valve actuators. Model <br />
order reduction is achieved by approximating the dynamics on the invariant manifold <br />
that captures the bifurcations and instabilities. Bifurcations and qualitative <br />
dynamics are obtained by analyzing the reduced system. The operability enhancement <br />
is defined as the extension of operating range for which fully developed rotating <br />
stall is avoided. Analytic formulas are derived for the operability enhancement <br />
as a function of noise level, actuator saturation limits, and the shape of the <br />
compressor characteristic, which is the major nonlinearity in the model. The <br />
shape of the compressor characteristic, especially the unstable part, is critical <br />
to the rate required for robust operability near the peak for the closed loop <br />
system. Experiments are carried out on a single-stage low-speed axial compressor <br />
using different level of steady air injections to generate different compressor <br />
characteristics. The theoretical formulas give good qualitative estimates to <br />
experimental data and simulations using a high fidelity model (37 states). <br />
| flags = <br />
| tag = wym99-automatica<br />
| id = 1999h<br />
}}</div>Murray