On the Trade-Off Between Communication and Control Cost in Event-Triggered Dead-Beat Control

Demirel, Burak; Gupta, Vijay; Quevedo, Daniel E.; Johansson, Mikael

doi:10.1109/tac.2016.2606590

Cited by 57 publications

(67 citation statements)

References 42 publications

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“…2. It is assumed that the plant states are perfectly known by the controller, i.e., the sensors that measures the plant states are co-located with the controller [13,14]. 2 Based on the current plant states, the controller is able to generate and send 2 Note that there are many applications where the sensors that measure the plants' state and the controller are collocated.…”

Section: System Modelmentioning

confidence: 99%

“…Control Process of T Control Symbols · · · · · · be obtained by the controller [13,14], which then performs a multiple unicast over multiple independent channels to send the control signal to each actuator. There is a common power constraint, P 0 , for all transmission channels.…”

Section: A Coding-free Control Protocolmentioning

confidence: 99%

“…There is a common power constraint, P 0 , for all transmission channels. The controller adopts a linear control policy [13], and the control signal sent by the controller for plant i at time t is given by…”

Section: A Coding-free Control Protocolmentioning

confidence: 99%

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Wireless Networked Control Systems With Coding-Free Data Transmission for Industrial IoT

Liu

Popovski

et al. 2020

IEEE Internet Things J.

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Wireless networked control systems for the Industrial Internet of Things (IIoT) require low latency communication techniques that are very reliable and resilient. In this paper, we investigate a coding-free control method to achieve ultra-low latency communications in single-controller-multi-plant networked control systems for both slow and fast fading channels. We formulate a power allocation problem to optimize the sum cost functions of multiple plants, subject to the plant stabilization condition and the controller's power limit. Although the optimization problem is a non-convex one, we derive a closedform solution, which indicates that the optimal power allocation policy for stabilizing the plants with different channel conditions is reminiscent of the channel-inversion policy. We numerically compare the performance of the proposed coding-free control method and the conventional coding-based control methods in terms of the control performance (i.e., the cost function) of a plant, which shows that the coding-free method is superior in a practical range of SNRs. Index TermsLow latency communication, optimal power allocation, wireless networked control system, codingfree transmission, analog transmission.

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Section: System Modelmentioning

confidence: 99%

Section: A Coding-free Control Protocolmentioning

confidence: 99%

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Wireless Networked Control Systems With Coding-Free Data Transmission for Industrial IoT

Liu

Popovski

et al. 2020

IEEE Internet Things J.

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“…The plant is a linear time invariant (LTI) discrete-time system modeled as [6], [7], [13] x k+1 = Ax k + Bu k + w k , ∀k…”

Section: A Dynamic Plantmentioning

confidence: 99%

“…In [3] and [4], the optimal policies of remote plant-state estimation with a single and multiple sensors' measurements were proposed, respectively. Some advanced remote plant-state control methods were investigated to overcome the effects of transmission delay [5] and detection errors [6], [7].…”

Section: Introductionmentioning

confidence: 99%

Optimal Downlink–Uplink Scheduling of Wireless Networked Control for Industrial IoT

Huang

Liu

et al. 2020

IEEE Internet Things J.

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This paper considers a wireless networked control system (WNCS) consisting of a dynamic system to be controlled (i.e., a plant), a sensor, an actuator and a remote controller for mission-critical Industrial Internet of Things (IIoT) applications. A WNCS has two types of wireless transmissions, i.e., the sensor's measurement transmission to the controller and the controller's command transmission to the actuator.In the literature of WNCSs, the controllers are commonly assumed to work in a full-duplex mode by default, i.e., can simultaneously receive the sensor's information and transmit its own command to the actuator. In this work, we consider a practical half-duplex controller, which introduces a novel transmission-scheduling problem for WNCSs. A frequent schedule of the sensor's transmission results in a better estimation of the plant states at the controller and thus a higher quality of the control command, but it leads to a less frequent/timely control of the plant. Therefore, considering the overall control performance of the plant, i.e., the average cost function of the plant, there exists a fundamental tradeoff between the sensor's and controller's transmission. We formulate a new problem to optimize the transmission-scheduling policy so as to minimize the long-term average cost function. We derive the necessary and sufficient condition of the existence of a stationary and deterministic optimal policy that results in a bounded average cost in terms of the transmission reliability of the sensor-to-controller and controller-to-actuator channels. Also, we derive an easy-to-compute suboptimal policy, which notably reduces the average cost of the plant compared to a naive alternative-scheduling policy.The authors are with to the actuator. A frequent schedule of the sensor's transmission results in a better estimation of the plant states and thus a higher quality of the control command. On the other side, a frequent schedule of the controller's transmission leads to a more timely plant control. Thus, considering the overall control performance of the plant's states, e.g., the average cost function of the plant, there exists a fundamental tradeoff between the sensor's and the controller's transmission. We propose a tractable framework to model this problem and enable the optimal design of the WNCS. The main contributions of the paper are summarized as follows:July 19, 2019 DRAFT

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Dual event‐triggered control for linear systems with consecutive packet losses

Cui

2021

Intl J Robust & Nonlinear

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This article investigates an event‐triggered control for linear continuous‐time systems by tolerating consecutive packet losses. Two event‐triggers are, respectively, employed in the sensor‐to‐controller and controller‐to‐actuator channels in order to reduce the data transmission pressures. A simple discrete‐time state feedback control law is proposed and the control command is only updated when the actuator successfully receives the command information. By the proposed method, the event‐triggers are proved to be maintained or violated consecutively. The appropriate data sampling period and the maximal allowable packet loss numbers can be quantitatively determined. In addition, it is also proved that the event‐trigger in controller‐to‐actuator may not be violated immediately with the event‐trigger in sensor‐to‐actuator. The uniform ultimate bound of the closed‐loop system can be achieved. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed method.

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On the Trade-Off Between Communication and Control Cost in Event-Triggered Dead-Beat Control

Cited by 57 publications

References 42 publications

Wireless Networked Control Systems With Coding-Free Data Transmission for Industrial IoT

Wireless Networked Control Systems With Coding-Free Data Transmission for Industrial IoT

Optimal Downlink–Uplink Scheduling of Wireless Networked Control for Industrial IoT

Dual event‐triggered control for linear systems with consecutive packet losses

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