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Active Feedback Control of Combustor Dynamics with Time Delay and Noise

Seywert, C. and Isella, G. and Culick, F. E. C. (2000) Active Feedback Control of Combustor Dynamics with Time Delay and Noise. AIAA Papers, 2000-3124. American Institute of Aeronautics and Astronautics . http://resolver.caltech.edu/CaltechAUTHORS:20101115-085253275

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Abstract

Active control of longitudinal pressure oscillations in a combustion chamber is studied theoretically by means of a low order model obtained by systematic reduction from a complete representation. The formulation is based on the derivation of a generalized wave equation that accommodates the effects of mean flow, combustion, noise and control action. By using spatial averaging, the equations describing the dynamics of the chamber are reduced to a set of coupled ordinary differential equations, representing the motions of a system of coupled oscillators. The form of the resulting equations is particularly convenient for model reduction and for introducing feedback control terms, while retaining all physical processes. The oscillator equations are then rewritten in state-space form. Simulations are carried out to investigate in a unified fashion various aspects of the problem. These include the influences of noise, parameter uncertainties, unmodeled modes and a single timedelay. A criterion is derived that guarantees stability of the controlled closed-loop system in the presence of those quantities. The particular controller used here is based on a standard LQR design, but any design technique can be used as long as the stability criterion is fulfilled.


Item Type:Report or Paper (Report)
Additional Information:© 2000 by California Institute of Technology. This work was sponsored partly by the California Institute of Technology; partly by the Department of Energy, AGTSR program; partly by the Air Force Office of Scientific Research; and partly by ENEL. Graduate Research Assistant, Aeronautics. Richard L. and Dorothy M. Hayman Professor of Mechanical Engineering and Professor of Jet Propulsion; Fellow AIAA
Group:Guggenheim Jet Propulsion Center
Funders:
Funding AgencyGrant Number
California Institute of TechnologyUNSPECIFIED
Department of EnergyUNSPECIFIED
AGTSRUNSPECIFIED
Air Force Office of Scientific ResearchUNSPECIFIED
ENELUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Guggenheim Jet Propulsion Center398
AIAA2000-3124
Record Number:CaltechAUTHORS:20101115-085253275
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101115-085253275
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20792
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:03 Dec 2010 23:56
Last Modified:26 Dec 2012 12:38

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