Reduced-order models for feedback control of transient energy growth

Aniketh Kalur, Maziar S. Hemati

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

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 languageEnglish (US)
Title of host publication2018 Flow Control Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105548
DOIs
StatePublished - 2018
Event9th AIAA Flow Control Conference, 2018 - [state] GA, United States
Duration: Jun 25 2018Jun 29 2018

Publication series

Name2018 Flow Control Conference

Other

Other9th AIAA Flow Control Conference, 2018
CountryUnited States
City[state] GA
Period6/25/186/29/18

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.

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