Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density

Neng Wan; Dapeng Li; Naira Hovakimyan

doi:10.1109/CDC.2018.8619522

Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density

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

Abstract

Bode integrals of sensitivity and sensitivity-like functions along with complementary sensitivity and complementary sensitivity-like functions are conventionally used for describing performance limitations of a feedback control system. In this paper, we show that in the case when the disturbance is a wide sense stationary process the (comple-mentary) sensitivity Bode integral and the (complementary) sensitivity-like Bode integral are identical. A lower bound of the continuous-time complementary sensitivity-like Bode integral is also derived and examined with the linearized flight-path angle tracking control problem of an F-16 aircraft.

Original language	English (US)
Title of host publication	2018 IEEE Conference on Decision and Control, CDC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2549-2554
Number of pages	6
ISBN (Electronic)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8619522
State	Published - Jan 18 2019
Event	57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: Dec 17 2018 → Dec 19 2018

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2018-December
ISSN (Print)	0743-1546

Conference

Conference	57th IEEE Conference on Decision and Control, CDC 2018
Country	United States
City	Miami
Period	12/17/18 → 12/19/18

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2018.8619522

Fingerprint Dive into the research topics of 'Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density'. Together they form a unique fingerprint.

Cite this

Wan, N., Li, D., & Hovakimyan, N. (2019). Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 2549-2554). [8619522] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8619522

Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density. / Wan, Neng; Li, Dapeng; Hovakimyan, Naira.

2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. p. 2549-2554 8619522 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

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

Wan, N, Li, D & Hovakimyan, N 2019, Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619522, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 2549-2554, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 12/17/18. https://doi.org/10.1109/CDC.2018.8619522

@inproceedings{b09ee3f014144a398f88e25690b4be62,

title = "Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density",

abstract = "Bode integrals of sensitivity and sensitivity-like functions along with complementary sensitivity and complementary sensitivity-like functions are conventionally used for describing performance limitations of a feedback control system. In this paper, we show that in the case when the disturbance is a wide sense stationary process the (comple-mentary) sensitivity Bode integral and the (complementary) sensitivity-like Bode integral are identical. A lower bound of the continuous-time complementary sensitivity-like Bode integral is also derived and examined with the linearized flight-path angle tracking control problem of an F-16 aircraft.",

author = "Neng Wan and Dapeng Li and Naira Hovakimyan",

year = "2019",

month = jan,

day = "18",

doi = "10.1109/CDC.2018.8619522",

language = "English (US)",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2549--2554",

booktitle = "2018 IEEE Conference on Decision and Control, CDC 2018",

address = "United States",

note = "57th IEEE Conference on Decision and Control, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

}

TY - GEN

T1 - Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density

AU - Wan, Neng

AU - Li, Dapeng

AU - Hovakimyan, Naira

PY - 2019/1/18

Y1 - 2019/1/18

N2 - Bode integrals of sensitivity and sensitivity-like functions along with complementary sensitivity and complementary sensitivity-like functions are conventionally used for describing performance limitations of a feedback control system. In this paper, we show that in the case when the disturbance is a wide sense stationary process the (comple-mentary) sensitivity Bode integral and the (complementary) sensitivity-like Bode integral are identical. A lower bound of the continuous-time complementary sensitivity-like Bode integral is also derived and examined with the linearized flight-path angle tracking control problem of an F-16 aircraft.

AB - Bode integrals of sensitivity and sensitivity-like functions along with complementary sensitivity and complementary sensitivity-like functions are conventionally used for describing performance limitations of a feedback control system. In this paper, we show that in the case when the disturbance is a wide sense stationary process the (comple-mentary) sensitivity Bode integral and the (complementary) sensitivity-like Bode integral are identical. A lower bound of the continuous-time complementary sensitivity-like Bode integral is also derived and examined with the linearized flight-path angle tracking control problem of an F-16 aircraft.

UR - http://www.scopus.com/inward/record.url?scp=85062183536&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85062183536&partnerID=8YFLogxK

U2 - 10.1109/CDC.2018.8619522

DO - 10.1109/CDC.2018.8619522

M3 - Conference contribution

AN - SCOPUS:85062183536

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 2549

EP - 2554

BT - 2018 IEEE Conference on Decision and Control, CDC 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 57th IEEE Conference on Decision and Control, CDC 2018

Y2 - 17 December 2018 through 19 December 2018

ER -