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

Do Wan Kim, Jin Bae Park, Young Hoon Joo

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

1 Citation (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 languageEnglish
Title of host publication2006 SICE-ICASE International Joint Conference
Pages847-850
Number of pages4
DOIs
Publication statusPublished - 2006 Dec 1
Event2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of
Duration: 2006 Oct 182006 Oct 21

Publication series

Name2006 SICE-ICASE International Joint Conference

Other

Other2006 SICE-ICASE International Joint Conference
CountryKorea, Republic of
CityBusan
Period06/10/1806/10/21

Fingerprint

Sampling
Linear matrix inequalities
Closed loop systems

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Kim, D. W., Park, J. B., & Joo, Y. H. (2006). Digital redesign of linear time-invariant systems: Integral quadratic constraint approach. In 2006 SICE-ICASE International Joint Conference (pp. 847-850). [4108943] (2006 SICE-ICASE International Joint Conference). https://doi.org/10.1109/SICE.2006.315405
Kim, Do Wan ; Park, Jin Bae ; Joo, Young Hoon. / Digital redesign of linear time-invariant systems : Integral quadratic constraint approach. 2006 SICE-ICASE International Joint Conference. 2006. pp. 847-850 (2006 SICE-ICASE International Joint Conference).
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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

Digital redesign of linear time-invariant systems : Integral quadratic constraint approach. / Kim, Do Wan; Park, Jin Bae; Joo, Young Hoon.

2006 SICE-ICASE International Joint Conference. 2006. p. 847-850 4108943 (2006 SICE-ICASE International Joint Conference).

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

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Kim DW, Park JB, Joo YH. Digital redesign of linear time-invariant systems: Integral quadratic constraint approach. In 2006 SICE-ICASE International Joint Conference. 2006. p. 847-850. 4108943. (2006 SICE-ICASE International Joint Conference). https://doi.org/10.1109/SICE.2006.315405