Accurate H∞-Norm Estimation via Finite-Frequency Norms of Local Parametric Models

Paul Tacx; Tom Oomen

doi:10.23919/ACC50511.2021.9483366

Accurate H∞-Norm Estimation via Finite-Frequency Norms of Local Parametric Models

Paul Tacx
, Tom Oomen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

4 Citations (Scopus)

2 Downloads (Pure)

Abstract

H _∞ -norm estimation is of critical importance for robust control design. This paper aims to develop an algorithm to estimate the H _∞ -norm with a limited amount of data and limited user intervention. A frequency response-based approach is pursued, and local modeling techniques are exploited to include the inter-grid behavior. The main idea is to estimate the global H _∞ norm by estimating the finite-frequency L _∞ norm of the local models through the generalized KYP lemma. A simulation example shows the superiority of the proposed algorithm.

Original language	English
Title of host publication	2021 American Control Conference (ACC)
Publisher	Institute of Electrical and Electronics Engineers
Pages	322-327
Number of pages	6
ISBN (Electronic)	9781665441971
DOIs	https://doi.org/10.23919/ACC50511.2021.9483366
Publication status	Published - 28 Jul 2021
Event	2021 American Control Conference, ACC 2021 - Virtual, Virtual, New Orleans, United States Duration: 25 May 2021 → 28 May 2021 http://acc2021.a2c2.org/

Conference

Conference	2021 American Control Conference, ACC 2021
Abbreviated title	ACC 2021
Country/Territory	United States
City	Virtual, New Orleans
Period	25/05/21 → 28/05/21
Internet address	http://acc2021.a2c2.org/

Bibliographical note

Funding Information:
*This work is part of the research programme VIDI with project number 15698, which is (partly) financed by the Netherlands Organisation for Scientific Research (NWO).

Funding

*This work is part of the research programme VIDI with project number 15698, which is (partly) financed by the Netherlands Organisation for Scientific Research (NWO).

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10.23919/ACC50511.2021.9483366

Cite this

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title = "Accurate H∞-Norm Estimation via Finite-Frequency Norms of Local Parametric Models",

abstract = "H ∞ -norm estimation is of critical importance for robust control design. This paper aims to develop an algorithm to estimate the H ∞ -norm with a limited amount of data and limited user intervention. A frequency response-based approach is pursued, and local modeling techniques are exploited to include the inter-grid behavior. The main idea is to estimate the global H ∞ norm by estimating the finite-frequency L ∞ norm of the local models through the generalized KYP lemma. A simulation example shows the superiority of the proposed algorithm.",

author = "Paul Tacx and Tom Oomen",

note = "Funding Information: *This work is part of the research programme VIDI with project number 15698, which is (partly) financed by the Netherlands Organisation for Scientific Research (NWO). ; 2021 American Control Conference, ACC 2021, ACC 2021 ; Conference date: 25-05-2021 Through 28-05-2021",

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AU - Tacx, Paul

AU - Oomen, Tom

N1 - Funding Information: *This work is part of the research programme VIDI with project number 15698, which is (partly) financed by the Netherlands Organisation for Scientific Research (NWO).

PY - 2021/7/28

Y1 - 2021/7/28

N2 - H ∞ -norm estimation is of critical importance for robust control design. This paper aims to develop an algorithm to estimate the H ∞ -norm with a limited amount of data and limited user intervention. A frequency response-based approach is pursued, and local modeling techniques are exploited to include the inter-grid behavior. The main idea is to estimate the global H ∞ norm by estimating the finite-frequency L ∞ norm of the local models through the generalized KYP lemma. A simulation example shows the superiority of the proposed algorithm.

AB - H ∞ -norm estimation is of critical importance for robust control design. This paper aims to develop an algorithm to estimate the H ∞ -norm with a limited amount of data and limited user intervention. A frequency response-based approach is pursued, and local modeling techniques are exploited to include the inter-grid behavior. The main idea is to estimate the global H ∞ norm by estimating the finite-frequency L ∞ norm of the local models through the generalized KYP lemma. A simulation example shows the superiority of the proposed algorithm.

UR - https://www.scopus.com/pages/publications/85111919114

U2 - 10.23919/ACC50511.2021.9483366

DO - 10.23919/ACC50511.2021.9483366

M3 - Conference contribution

AN - SCOPUS:85111919114

SP - 322

EP - 327

BT - 2021 American Control Conference (ACC)

PB - Institute of Electrical and Electronics Engineers

T2 - 2021 American Control Conference, ACC 2021

Y2 - 25 May 2021 through 28 May 2021

ER -

Accurate H∞-Norm Estimation via Finite-Frequency Norms of Local Parametric Models

Abstract

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