Real-Time Remote Estimation with Hybrid ARQ in Wireless Networked Control
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2019
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| _version_ | 1866912091139473408 |
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| author | Huang, Kang Liu, Wanchun Shirvanimoghaddam, Mahyar Li, Yonghui Vucetic, Branka |
| author_facet | Huang, Kang Liu, Wanchun Shirvanimoghaddam, Mahyar Li, Yonghui Vucetic, Branka |
| contents | 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 an elegant 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_12472 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Real-Time Remote Estimation with Hybrid ARQ in Wireless Networked Control Huang, Kang Liu, Wanchun Shirvanimoghaddam, Mahyar Li, Yonghui Vucetic, Branka Information Theory Systems and Control 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 an elegant 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. |
| title | Real-Time Remote Estimation with Hybrid ARQ in Wireless Networked Control |
| topic | Information Theory Systems and Control |
| url | https://arxiv.org/abs/1903.12472 |