To wait or to drop: On the optimal number of retransmissions in wireless control

Demirel, Burak; Aytekin, Arda; Quevedo, Daniel E.; Johansson, Mikael

doi:10.1109/ecc.2015.7330666

Cited by 11 publications

(12 citation statements)

References 17 publications

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“…where t k is the generation time slot of the latest sensor's estimation that is successfully received by the receiver before time slot (k + 1), 6 and q k ≥ 0. As it is straightforward that…”

Section: Harq-based Remote Estimationmentioning

confidence: 99%

“…Retransmission is required by conventional communication systems with nonreal-time backlogged data to be perfectly delivered to the receivers. Also, energy-constrained remote estimation systems and the ones with low sampling rate can also benefit from retransmissions, see e.g., [5] and [6]. It seems that retransmissions may not improve the performance of a missioncritical real-time remote estimation system [7], which is not mainly constrained by energy nor sampling rate, as it is a waste of transmission opportunity to transmit an out-of-date measurement instead of the current one.…”

Section: Introductionmentioning

confidence: 99%

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To Retransmit or Not: Real-Time Remote Estimation in Wireless Networked Control

Huang

Liu

et al. 2019

ICC 2019 - 2019 IEEE International Conference on Communications (ICC)

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Real-time remote estimation is critical for missioncritical applications including industrial automation, smart grid, and the tactile Internet. In this paper, we propose a hybrid automatic repeat request (HARQ)-based real-time remote estimation framework for linear time-invariant (LTI) dynamic systems.Considering the estimation quality of such a system, there is a fundamental tradeoff between the reliability and freshness of the sensor's measurement transmission. When a failed transmission occurs, the sensor can either retransmit the previous old measurement such that the receiver can obtain a more reliable old measurement, or transmit a new but less reliable measurement. To design the optimal decision, we formulate a new problem to optimize the sensor's online decision policy, i.e., to retransmit or not, depending on both the current estimation quality of the remote estimator and the current number of retransmissions of the sensor, so as to minimize the long-term remote estimation mean-squared error (MSE). This problem is non-trivial. In particular, it is not clear what the condition is in terms of the communication channel quality and the LTI system parameters, to ensure that the long-term estimation MSE can be bounded. We give a sufficient condition of the existence of a stationary and deterministic optimal policy that stabilizes the remote estimation system and minimizes the MSE. Also, we prove that the optimal policy has a switching structure, and derive a low-complexity suboptimal policy. Our numerical results show that the proposed optimal policy notably improves the performance of the remote estimation system compared to the conventional non-HARQ policy.

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Section: Harq-based Remote Estimationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

To Retransmit or Not: Real-Time Remote Estimation in Wireless Networked Control

Huang

Liu

et al. 2019

ICC 2019 - 2019 IEEE International Conference on Communications (ICC)

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“…Retransmission is required by conventional communication systems with non-real-time backlogged data to be perfectly delivered to the receivers. Also, energy-constrained remote estimation systems and the ones with low sampling rate can also benefit from retransmissions, see e.g., [6] and [7]. It was shown in [8] that retransmissions cannot improve the performance of a mission-critical real-time remote estimation system, which is not mainly constrained by energy nor sampling rate, as it is a waste of transmission opportunity to transmit an out-of-date measurement instead of the current one.…”

Section: Introductionmentioning

confidence: 99%

Real-Time Remote Estimation With Hybrid ARQ in Wireless Networked Control

Huang

Liu

Shirvanimoghaddam

et al. 2020

IEEE Trans. Wireless Commun.

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Real-time remote estimation is critical for mission-critical applications including industrial automation, smart grid and tactile Internet. In this paper, we propose a hybrid automatic repeat request (HARQ)-based real-time remote estimation framework for linear time-invariant (LTI) dynamic systems.Considering the estimation quality of such a system, there is a fundamental tradeoff between the reliability and freshness of the sensor's measurement transmission. We formulate a new problem to optimize the sensor's online transmission control policy for static and Markov fading channels, which depends on both the current estimation quality of the remote estimator and the current number of retransmissions of the sensor, so as to minimize the long-term remote estimation mean squared error (MSE). This problem is non-trivial. In particular, it is challenging to derive the condition in terms of the communication channel quality and the LTI system parameters, to ensure a bounded long-term estimation MSE. We derive a sufficient condition of the existence of a stationary and deterministic optimal policy that stabilizes the remote estimation system and minimizes the MSE. Also, we prove that the optimal policy has a switching structure, and accordingly derive a low-complexity suboptimal policy. Numerical results show that the proposed optimal policy significantly improves the performance of the remote estimation system compared to the conventional non-HARQ policy. Index TermsAge of information, hybrid ARQ, remote estimation, stability analysis, wireless networked control systems The authors are with

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“…The probability of data-acquisition characteristic also appears in networked control context as data loss, or 'dropouts', see, for instance, Demirel (2015), Gommans, Heemels, Bauer, andvan de Wouw (2013), Quevedo, Silva, andGoodwin (2008) and Schenato et al (2007) and the references therein. Many of those works consider data loss/acquisition with the purpose of analyzing the trade-off between control and communication rate when controlling, or 'scheduling', when and how often to (re-)transmit, in order to reduce or limit the communication rate (Al-Areqi, Görges, Antunes & Heemels, 2014;Antunes, Heemels, Hespanha, & Silvestre, 2012;Demirel, Aytekin, Quevedo, & Johansson, 2015;Kouchiyama & Ohmori, 2010;Molin & Hirche, 2009;. Other papers considering trade-offs between different characteristics of data-processing and communication are (Demirel, 2015;Wu, Lou, Chen, Hirche & Kuhnlenz, 2013) and Wu, Jia, Johansson and Shi (2013).…”

Section: Introductionmentioning

confidence: 99%

Switched LQG control for linear systems with multiple sensing methods

2019

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To wait or to drop: On the optimal number of retransmissions in wireless control

Cited by 11 publications

References 17 publications

To Retransmit or Not: Real-Time Remote Estimation in Wireless Networked Control

To Retransmit or Not: Real-Time Remote Estimation in Wireless Networked Control

Real-Time Remote Estimation With Hybrid ARQ in Wireless Networked Control

Switched LQG control for linear systems with multiple sensing methods

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