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)|
|Title of host publication||2018 Flow Control Conference|
|Publisher||American Institute of Aeronautics and Astronautics Inc, AIAA|
|State||Published - 2018|
|Event||9th AIAA Flow Control Conference, 2018 - [state] GA, United States|
Duration: Jun 25 2018 → Jun 29 2018
|Name||2018 Flow Control Conference|
|Other||9th AIAA Flow Control Conference, 2018|
|Period||6/25/18 → 6/29/18|
Bibliographical noteFunding 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.
© 2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.