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Optimal estimation in UDP-like networked control systems with intermittent inputs: stability analysis and suboptimal filter design

Optimal estimation in UDP-like networked control systems with intermittent inputs: stability analysis and suboptimal filter design
Optimal estimation in UDP-like networked control systems with intermittent inputs: stability analysis and suboptimal filter design
We investigate the optimal estimation problem in lossy networked control systems where the control packets are randomly dropped without acknowledgment to the estimator. Most existing results for this setup are concerned with the design of controller, while the optimal estimation and its performance evaluation have been rarely treated. In this paper, we show that, unlike many other cases such as intermittent observations or TCP-like systems, the system state follows a Gaussian mixture distribution with exponentially increasing terms, which leads to a Gaussian sum filter-based optimal estimation. We develop an auxiliary estimator method to establish necessary and sufficient conditions for the stability of the mean estimation error covariance matrices. It is revealed that the stability is independent of the packet loss rate, and is not affected by the lack of acknowledgment. A suboptimal filtering algorithm with improved computational efficiency is then developed. Numerical examples and simulations are employed to illustrate the theoretical results.
0018-9286
1794-1809
Lin, Hong
1c7e2576-2249-4c3c-98ab-b0a3436780cf
Su, Hongye
49abac6c-096f-493e-b412-8948bbea3c30
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Wu, Zhengguang
22af5779-f570-4d71-9cfc-c6209356673f
Xu, Yong
bdf3c62d-fa3c-4763-83b8-98066c3415e2
Lin, Hong
1c7e2576-2249-4c3c-98ab-b0a3436780cf
Su, Hongye
49abac6c-096f-493e-b412-8948bbea3c30
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Wu, Zhengguang
22af5779-f570-4d71-9cfc-c6209356673f
Xu, Yong
bdf3c62d-fa3c-4763-83b8-98066c3415e2

Lin, Hong, Su, Hongye, Shu, Zhan, Wu, Zhengguang and Xu, Yong (2016) Optimal estimation in UDP-like networked control systems with intermittent inputs: stability analysis and suboptimal filter design. IEEE Transactions on Automatic Control, 61 (7), 1794-1809, [7270307]. (doi:10.1109/TAC.2015.2479195).

Record type: Article

Abstract

We investigate the optimal estimation problem in lossy networked control systems where the control packets are randomly dropped without acknowledgment to the estimator. Most existing results for this setup are concerned with the design of controller, while the optimal estimation and its performance evaluation have been rarely treated. In this paper, we show that, unlike many other cases such as intermittent observations or TCP-like systems, the system state follows a Gaussian mixture distribution with exponentially increasing terms, which leads to a Gaussian sum filter-based optimal estimation. We develop an auxiliary estimator method to establish necessary and sufficient conditions for the stability of the mean estimation error covariance matrices. It is revealed that the stability is independent of the packet loss rate, and is not affected by the lack of acknowledgment. A suboptimal filtering algorithm with improved computational efficiency is then developed. Numerical examples and simulations are employed to illustrate the theoretical results.

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Accepted/In Press date: 25 August 2015
e-pub ahead of print date: 16 September 2015
Published date: 24 June 2016
Organisations: Mechatronics

Identifiers

Local EPrints ID: 403599
URI: http://eprints.soton.ac.uk/id/eprint/403599
ISSN: 0018-9286
PURE UUID: e09b4b44-0960-419f-97f3-25166680d218
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

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Date deposited: 07 Dec 2016 10:30
Last modified: 18 Feb 2021 17:17

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