Digital redesign of linear time-invariant systems: Integral quadratic constraint approach

Do Wan Kim; Jin Bae Park; Young Hoon Joo

doi:10.1109/SICE.2006.315405

Digital redesign of linear time-invariant systems: Integral quadratic constraint approach

Do Wan Kim, Jin Bae Park, Young Hoon Joo

Department of Electrical and Electronic Engineering

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

2 Citations (Scopus)

Abstract

In this paper, a new digital redesign (DR) technique with an integral quadratic constraint (IQC) is presented. The DR problem can be interpreted as finding a relevant, digital gain to minimize the IQC, which describes die energy of error response between the continuous-time and the sampled-data closed-loop systems for all time. It can be shown that the IQC for all time is reduced to two conditions, where one is a state-matching condition at the sampling points and the other is the IQC for the sampling period. These constructive conditions are formulated in terms of the linear matrix inequalities (LMTs). A numerical example is provided for visualizing the feasibility of the proposed technique.

Original language	English
Title of host publication	2006 SICE-ICASE International Joint Conference
Pages	847-850
Number of pages	4
DOIs	https://doi.org/10.1109/SICE.2006.315405
Publication status	Published - 2006
Event	2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of Duration: 2006 Oct 18 → 2006 Oct 21

Publication series

Name	2006 SICE-ICASE International Joint Conference

Other

Other	2006 SICE-ICASE International Joint Conference
Country/Territory	Korea, Republic of
City	Busan
Period	06/10/18 → 06/10/21

All Science Journal Classification (ASJC) codes

Computer Science Applications
Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1109/SICE.2006.315405

Cite this

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title = "Digital redesign of linear time-invariant systems: Integral quadratic constraint approach",

abstract = "In this paper, a new digital redesign (DR) technique with an integral quadratic constraint (IQC) is presented. The DR problem can be interpreted as finding a relevant, digital gain to minimize the IQC, which describes die energy of error response between the continuous-time and the sampled-data closed-loop systems for all time. It can be shown that the IQC for all time is reduced to two conditions, where one is a state-matching condition at the sampling points and the other is the IQC for the sampling period. These constructive conditions are formulated in terms of the linear matrix inequalities (LMTs). A numerical example is provided for visualizing the feasibility of the proposed technique.",

author = "Kim, {Do Wan} and Park, {Jin Bae} and Joo, {Young Hoon}",

year = "2006",

doi = "10.1109/SICE.2006.315405",

language = "English",

isbn = "8995003855",

series = "2006 SICE-ICASE International Joint Conference",

pages = "847--850",

booktitle = "2006 SICE-ICASE International Joint Conference",

note = "2006 SICE-ICASE International Joint Conference ; Conference date: 18-10-2006 Through 21-10-2006",

}

Kim, DW, Park, JB & Joo, YH 2006, Digital redesign of linear time-invariant systems: Integral quadratic constraint approach. in 2006 SICE-ICASE International Joint Conference., 4108943, 2006 SICE-ICASE International Joint Conference, pp. 847-850, 2006 SICE-ICASE International Joint Conference, Busan, Korea, Republic of, 06/10/18. https://doi.org/10.1109/SICE.2006.315405

TY - GEN

T1 - Digital redesign of linear time-invariant systems

T2 - 2006 SICE-ICASE International Joint Conference

AU - Kim, Do Wan

AU - Park, Jin Bae

AU - Joo, Young Hoon

PY - 2006

Y1 - 2006

N2 - In this paper, a new digital redesign (DR) technique with an integral quadratic constraint (IQC) is presented. The DR problem can be interpreted as finding a relevant, digital gain to minimize the IQC, which describes die energy of error response between the continuous-time and the sampled-data closed-loop systems for all time. It can be shown that the IQC for all time is reduced to two conditions, where one is a state-matching condition at the sampling points and the other is the IQC for the sampling period. These constructive conditions are formulated in terms of the linear matrix inequalities (LMTs). A numerical example is provided for visualizing the feasibility of the proposed technique.

AB - In this paper, a new digital redesign (DR) technique with an integral quadratic constraint (IQC) is presented. The DR problem can be interpreted as finding a relevant, digital gain to minimize the IQC, which describes die energy of error response between the continuous-time and the sampled-data closed-loop systems for all time. It can be shown that the IQC for all time is reduced to two conditions, where one is a state-matching condition at the sampling points and the other is the IQC for the sampling period. These constructive conditions are formulated in terms of the linear matrix inequalities (LMTs). A numerical example is provided for visualizing the feasibility of the proposed technique.

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DO - 10.1109/SICE.2006.315405

M3 - Conference contribution

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T3 - 2006 SICE-ICASE International Joint Conference

SP - 847

EP - 850

BT - 2006 SICE-ICASE International Joint Conference

Y2 - 18 October 2006 through 21 October 2006

ER -

Digital redesign of linear time-invariant systems: Integral quadratic constraint approach

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