Fluid flow control applications of ℍ2 optimal actuator and sensor placement

Kevin K. Chen; Clarence W. Rowley

doi:10.1109/ACC.2014.6859096

Fluid flow control applications of ℍ₂ optimal actuator and sensor placement

Kevin K. Chen, Clarence W. Rowley

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

14 Scopus citations

Abstract

In the control of distributed parameter systems, the problem of effective actuator and sensor placement is not well understood, and the use of suboptimal placement methodology is common. We discuss a technique we recently proposed that iterates toward the optimal actuator and sensor placement for ℍ₂ synthesis, minimizing the closed-loop ℍ₂ norm from exogenous inputs to exogenous outputs. The iteration is based on an efficient computation of the ℍ₂ norm's gradient with respect to actuator and sensor placements.We demonstrate the technique on the Orr-Sommerfeld/Squire model of fluid flow, and review previous results from the linearized Ginzburg-Landau model. Finally, we use these results to analyze the validity of previous placement approaches.

Original language	English (US)
Title of host publication	2014 American Control Conference, ACC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4044-4049
Number of pages	6
ISBN (Print)	9781479932726
DOIs	https://doi.org/10.1109/ACC.2014.6859096
State	Published - 2014
Event	2014 American Control Conference, ACC 2014 - Portland, OR, United States Duration: Jun 4 2014 → Jun 6 2014

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Other

Other	2014 American Control Conference, ACC 2014
Country/Territory	United States
City	Portland, OR
Period	6/4/14 → 6/6/14

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Keywords

Aerospace
Distributed parameter systems
Optimal control

Access to Document

10.1109/ACC.2014.6859096

Cite this

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title = "Fluid flow control applications of ℍ2 optimal actuator and sensor placement",

abstract = "In the control of distributed parameter systems, the problem of effective actuator and sensor placement is not well understood, and the use of suboptimal placement methodology is common. We discuss a technique we recently proposed that iterates toward the optimal actuator and sensor placement for ℍ2 synthesis, minimizing the closed-loop ℍ2 norm from exogenous inputs to exogenous outputs. The iteration is based on an efficient computation of the ℍ2 norm's gradient with respect to actuator and sensor placements.We demonstrate the technique on the Orr-Sommerfeld/Squire model of fluid flow, and review previous results from the linearized Ginzburg-Landau model. Finally, we use these results to analyze the validity of previous placement approaches.",

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Chen, KK & Rowley, CW 2014, Fluid flow control applications of ℍ₂ optimal actuator and sensor placement. in 2014 American Control Conference, ACC 2014., 6859096, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 4044-4049, 2014 American Control Conference, ACC 2014, Portland, OR, United States, 6/4/14. https://doi.org/10.1109/ACC.2014.6859096

Fluid flow control applications of ℍ₂ optimal actuator and sensor placement. / Chen, Kevin K.; Rowley, Clarence W.
2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 4044-4049 6859096 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - In the control of distributed parameter systems, the problem of effective actuator and sensor placement is not well understood, and the use of suboptimal placement methodology is common. We discuss a technique we recently proposed that iterates toward the optimal actuator and sensor placement for ℍ2 synthesis, minimizing the closed-loop ℍ2 norm from exogenous inputs to exogenous outputs. The iteration is based on an efficient computation of the ℍ2 norm's gradient with respect to actuator and sensor placements.We demonstrate the technique on the Orr-Sommerfeld/Squire model of fluid flow, and review previous results from the linearized Ginzburg-Landau model. Finally, we use these results to analyze the validity of previous placement approaches.

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