Abstract
Feedback flow control is developed to suppress the transient energy growth of flow disturbances in a linearized channel flow. Specifically, we seek a controller that minimizes the maximum transient energy growth, which can be formulated as a linear matrix inequality problem. Solving linear matrix inequality problems can be computationally prohibitive for high-dimensional systems encountered in flow control applications. Thus, we develop reduced-order fluids models using balance truncation and proper orthogonal decomposition techniques. These models are designed to optimally approximate system energy while preserving the input-output dynamics that are essential for controller synthesis. Controllers developed based on these reduced-order models are found to reduce transient energy growth and to outperform linear quadratic controllers in the context of a linearized channel flow.
Original language | English (US) |
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Title of host publication | 2018 Flow Control Conference |
Publisher | American Institute of Aeronautics and Astronautics Inc, AIAA |
ISBN (Print) | 9781624105548 |
DOIs | |
State | Published - 2018 |
Event | 9th AIAA Flow Control Conference, 2018 - [state] GA, United States Duration: Jun 25 2018 → Jun 29 2018 |
Publication series
Name | 2018 Flow Control Conference |
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Other
Other | 9th AIAA Flow Control Conference, 2018 |
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Country/Territory | United States |
City | [state] GA |
Period | 6/25/18 → 6/29/18 |
Bibliographical note
Funding Information:This material is based upon work supported by the Air Force Office of Scientific Research under award number FA9550-17-1-0252, monitored by Dr. Douglas R. Smith.
Publisher Copyright:
© 2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.