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Technical Briefs

Local L2 Gain of Axial Flow Compressor Control

[+] Author and Article Information
Tiebao Yang

Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, N9B 3P4, Canada

Xiang Chen

Department of Electrical and Computer Engineering, University of Windsor, Windsor, ON, N9B 3P4, Canadaxchen@uwindsor.ca

J. Dyn. Sys., Meas., Control 131(1), 014505 (Dec 05, 2008) (8 pages) doi:10.1115/1.3023138 History: Received March 24, 2007; Revised July 03, 2008; Published December 05, 2008

Feedback control has been pursued to stabilize the bifurcated operating solution near the rotating stall point in axial-flow compressors. These controllers can extend the stable operating range and hence improve engine performance. However, the local L2 gain of these controllers still remains unknown. In this paper, a family of Lyapunov functions is first constructed, and then the local L2 gain is derived through Hamilton–Jacobi–Bellman inequality for a class of stabilizing controllers with throttle position as actuator and pressure rise as measurement. The results obtained in this paper provide useful guidance for selecting the most robust controller from a given class of stabilizing controllers in terms of L2 gain.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Nonlinear control system in robust consideration

Grahic Jump Location
Figure 2

Comparison of states x1 and x2 among three controllers with small uncertainty w=0.3

Grahic Jump Location
Figure 3

Comparison of states x1 and x2 between two controllers with large uncertainty w=30. For kΨ=−0.10, only first 90 s is shown since the system becomes unstable.

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