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

Neng Wan, Dapeng Li, Naira Hovakimyan

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2549-2554
Number of pages6
ISBN (Electronic)9781538613955
DOIs
StatePublished - Jan 18 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: Dec 17 2018Dec 19 2018

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2018-December
ISSN (Print)0743-1546

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
CountryUnited States
CityMiami
Period12/17/1812/19/18

Fingerprint

Continuous time systems
Power Spectral Density
Continuous-time Systems
Power spectral density
Sensitivity analysis
Sensitivity Analysis
Flight paths
Feedback control
Aircraft
Control systems
Feedback Systems
Tracking Control
Stationary Process
Feedback Control
Continuous Time
Control Problem
Disturbance
Control System
Lower bound
Angle

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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