Dynamic Output Feedback Control of a Sampled-Data System under Stochastic Sampling

Haoyuan Sun; Honggui Han; Jian Sun; Jie Chen

doi:10.1109/CDC42340.2020.9304220

Dynamic Output Feedback Control of a Sampled-Data System under Stochastic Sampling

Haoyuan Sun, Honggui Han, Jian Sun, Jie Chen

School of Automation

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

3 Citations (Scopus)

Abstract

In this paper, we study the problem of stability and stabilization of a sampled-data system under stochastic sampling. A dynamic output feedback control method is proposed in which it is assumed that the sampling interval is disturbed by noisy perturbations obeying a certain probability density. A stochastic stability condition is derived and presented in terms of a linear matrix inequality (LMI) using the Kronecker product operation and the Vandermonde matrix. On the basis of the obtained stochastic stability condition, a new approach to obtain the controller gain matrices is developed. The effectiveness of the proposed method is demonstrated by two examples.

Original language	English
Title of host publication	2020 59th IEEE Conference on Decision and Control, CDC 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2398-2403
Number of pages	6
ISBN (Electronic)	9781728174471
DOIs	https://doi.org/10.1109/CDC42340.2020.9304220
Publication status	Published - 14 Dec 2020
Event	59th IEEE Conference on Decision and Control, CDC 2020 - Virtual, Jeju Island, Korea, Republic of Duration: 14 Dec 2020 → 18 Dec 2020

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2020-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	59th IEEE Conference on Decision and Control, CDC 2020
Country/Territory	Korea, Republic of
City	Virtual, Jeju Island
Period	14/12/20 → 18/12/20

Access to Document

10.1109/CDC42340.2020.9304220

Cite this

Sun, H., Han, H., Sun, J., & Chen, J. (2020). Dynamic Output Feedback Control of a Sampled-Data System under Stochastic Sampling. In 2020 59th IEEE Conference on Decision and Control, CDC 2020 (pp. 2398-2403). Article 9304220 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC42340.2020.9304220

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title = "Dynamic Output Feedback Control of a Sampled-Data System under Stochastic Sampling",

abstract = "In this paper, we study the problem of stability and stabilization of a sampled-data system under stochastic sampling. A dynamic output feedback control method is proposed in which it is assumed that the sampling interval is disturbed by noisy perturbations obeying a certain probability density. A stochastic stability condition is derived and presented in terms of a linear matrix inequality (LMI) using the Kronecker product operation and the Vandermonde matrix. On the basis of the obtained stochastic stability condition, a new approach to obtain the controller gain matrices is developed. The effectiveness of the proposed method is demonstrated by two examples.",

author = "Haoyuan Sun and Honggui Han and Jian Sun and Jie Chen",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 59th IEEE Conference on Decision and Control, CDC 2020 ; Conference date: 14-12-2020 Through 18-12-2020",

year = "2020",

month = dec,

day = "14",

doi = "10.1109/CDC42340.2020.9304220",

language = "English",

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

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Sun, H, Han, H, Sun, J & Chen, J 2020, Dynamic Output Feedback Control of a Sampled-Data System under Stochastic Sampling. in 2020 59th IEEE Conference on Decision and Control, CDC 2020., 9304220, Proceedings of the IEEE Conference on Decision and Control, vol. 2020-December, Institute of Electrical and Electronics Engineers Inc., pp. 2398-2403, 59th IEEE Conference on Decision and Control, CDC 2020, Virtual, Jeju Island, Korea, Republic of, 14/12/20. https://doi.org/10.1109/CDC42340.2020.9304220

Dynamic Output Feedback Control of a Sampled-Data System under Stochastic Sampling. / Sun, Haoyuan; Han, Honggui; Sun, Jian et al.
2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 2398-2403 9304220 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December).

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

TY - GEN

T1 - Dynamic Output Feedback Control of a Sampled-Data System under Stochastic Sampling

AU - Sun, Haoyuan

AU - Han, Honggui

AU - Sun, Jian

AU - Chen, Jie

PY - 2020/12/14

Y1 - 2020/12/14

N2 - In this paper, we study the problem of stability and stabilization of a sampled-data system under stochastic sampling. A dynamic output feedback control method is proposed in which it is assumed that the sampling interval is disturbed by noisy perturbations obeying a certain probability density. A stochastic stability condition is derived and presented in terms of a linear matrix inequality (LMI) using the Kronecker product operation and the Vandermonde matrix. On the basis of the obtained stochastic stability condition, a new approach to obtain the controller gain matrices is developed. The effectiveness of the proposed method is demonstrated by two examples.

AB - In this paper, we study the problem of stability and stabilization of a sampled-data system under stochastic sampling. A dynamic output feedback control method is proposed in which it is assumed that the sampling interval is disturbed by noisy perturbations obeying a certain probability density. A stochastic stability condition is derived and presented in terms of a linear matrix inequality (LMI) using the Kronecker product operation and the Vandermonde matrix. On the basis of the obtained stochastic stability condition, a new approach to obtain the controller gain matrices is developed. The effectiveness of the proposed method is demonstrated by two examples.

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U2 - 10.1109/CDC42340.2020.9304220

DO - 10.1109/CDC42340.2020.9304220

M3 - Conference contribution

AN - SCOPUS:85099887315

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 2398

EP - 2403

BT - 2020 59th IEEE Conference on Decision and Control, CDC 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 59th IEEE Conference on Decision and Control, CDC 2020

Y2 - 14 December 2020 through 18 December 2020

ER -

Dynamic Output Feedback Control of a Sampled-Data System under Stochastic Sampling

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