LQ non-Gaussian Control with I/O packet losses

Stefano Battilotti; Filippo Cacace; Massimiliano D'Angelo; Alfredo Germani; Bruno Sinopoli

doi:10.23919/ACC45564.2020.9147371

LQ non-Gaussian Control with I/O packet losses

Stefano Battilotti
, Filippo Cacace
, Massimiliano D'Angelo
, Alfredo Germani
, Bruno Sinopoli

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

2 Scopus citations

Abstract

The paper concerns the Linear Quadratic non-Gaussian (LQnG) sub-optimal control problem when the input and output signals travel through an unreliable network, namely Gilbert-Elliot channels. In particular, the input/output packet losses are modeled by Bernoulli sequences, and we assume that the moments of the non-Gaussian noises up to the fourth order are known. By mean of a suitable rewriting of the system through an intermittent output injection term, and by considering an augmented system with the second-order Kronecker power of the measurements, a simple solution is provided by substituting the Kalman predictor with intermittent observations of the LQG control law with a quadratic optimal predictor. Numerical simulations show the effectiveness of the proposed method.

Original language	English
Title of host publication	2020 American Control Conference, ACC 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2802-2807
Number of pages	6
ISBN (Electronic)	9781538682661
DOIs	https://doi.org/10.23919/ACC45564.2020.9147371
State	Published - Jul 2020
Event	2020 American Control Conference, ACC 2020 - Denver, United States Duration: Jul 1 2020 → Jul 3 2020

Publication series

Name	Proceedings of the American Control Conference
Volume	2020-July
ISSN (Print)	0743-1619

Conference

Conference	2020 American Control Conference, ACC 2020
Country/Territory	United States
City	Denver
Period	07/1/20 → 07/3/20

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10.23919/ACC45564.2020.9147371

Cite this

Battilotti, S., Cacace, F., D'Angelo, M., Germani, A., & Sinopoli, B. (2020). LQ non-Gaussian Control with I/O packet losses. In 2020 American Control Conference, ACC 2020 (pp. 2802-2807). Article 9147371 (Proceedings of the American Control Conference; Vol. 2020-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC45564.2020.9147371

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title = "LQ non-Gaussian Control with I/O packet losses",

abstract = "The paper concerns the Linear Quadratic non-Gaussian (LQnG) sub-optimal control problem when the input and output signals travel through an unreliable network, namely Gilbert-Elliot channels. In particular, the input/output packet losses are modeled by Bernoulli sequences, and we assume that the moments of the non-Gaussian noises up to the fourth order are known. By mean of a suitable rewriting of the system through an intermittent output injection term, and by considering an augmented system with the second-order Kronecker power of the measurements, a simple solution is provided by substituting the Kalman predictor with intermittent observations of the LQG control law with a quadratic optimal predictor. Numerical simulations show the effectiveness of the proposed method.",

author = "Stefano Battilotti and Filippo Cacace and Massimiliano D'Angelo and Alfredo Germani and Bruno Sinopoli",

note = "Publisher Copyright: {\textcopyright} 2020 AACC.; 2020 American Control Conference, ACC 2020 ; Conference date: 01-07-2020 Through 03-07-2020",

year = "2020",

month = jul,

doi = "10.23919/ACC45564.2020.9147371",

language = "English",

series = "Proceedings of the American Control Conference",

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

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booktitle = "2020 American Control Conference, ACC 2020",

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Battilotti, S, Cacace, F, D'Angelo, M, Germani, A & Sinopoli, B 2020, LQ non-Gaussian Control with I/O packet losses. in 2020 American Control Conference, ACC 2020., 9147371, Proceedings of the American Control Conference, vol. 2020-July, Institute of Electrical and Electronics Engineers Inc., pp. 2802-2807, 2020 American Control Conference, ACC 2020, Denver, United States, 07/1/20. https://doi.org/10.23919/ACC45564.2020.9147371

LQ non-Gaussian Control with I/O packet losses. / Battilotti, Stefano; Cacace, Filippo; D'Angelo, Massimiliano et al.
2020 American Control Conference, ACC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 2802-2807 9147371 (Proceedings of the American Control Conference; Vol. 2020-July).

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

TY - GEN

T1 - LQ non-Gaussian Control with I/O packet losses

AU - Battilotti, Stefano

AU - Cacace, Filippo

AU - D'Angelo, Massimiliano

AU - Germani, Alfredo

AU - Sinopoli, Bruno

PY - 2020/7

Y1 - 2020/7

N2 - The paper concerns the Linear Quadratic non-Gaussian (LQnG) sub-optimal control problem when the input and output signals travel through an unreliable network, namely Gilbert-Elliot channels. In particular, the input/output packet losses are modeled by Bernoulli sequences, and we assume that the moments of the non-Gaussian noises up to the fourth order are known. By mean of a suitable rewriting of the system through an intermittent output injection term, and by considering an augmented system with the second-order Kronecker power of the measurements, a simple solution is provided by substituting the Kalman predictor with intermittent observations of the LQG control law with a quadratic optimal predictor. Numerical simulations show the effectiveness of the proposed method.

AB - The paper concerns the Linear Quadratic non-Gaussian (LQnG) sub-optimal control problem when the input and output signals travel through an unreliable network, namely Gilbert-Elliot channels. In particular, the input/output packet losses are modeled by Bernoulli sequences, and we assume that the moments of the non-Gaussian noises up to the fourth order are known. By mean of a suitable rewriting of the system through an intermittent output injection term, and by considering an augmented system with the second-order Kronecker power of the measurements, a simple solution is provided by substituting the Kalman predictor with intermittent observations of the LQG control law with a quadratic optimal predictor. Numerical simulations show the effectiveness of the proposed method.

UR - https://www.scopus.com/pages/publications/85089592664

U2 - 10.23919/ACC45564.2020.9147371

DO - 10.23919/ACC45564.2020.9147371

M3 - Conference contribution

AN - SCOPUS:85089592664

T3 - Proceedings of the American Control Conference

SP - 2802

EP - 2807

BT - 2020 American Control Conference, ACC 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2020 American Control Conference, ACC 2020

Y2 - 1 July 2020 through 3 July 2020

ER -

LQ non-Gaussian Control with I/O packet losses

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