Stabilizing Stochastic Predictive Control Under Bernoulli Dropouts

Mishra, Prabhat K.; Chatterjee, Debasish; Quevedo, Daniel E.

doi:10.1109/tac.2017.2765740

Cited by 29 publications

(42 citation statements)

References 49 publications

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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%

“…The sensor measures the plant states at the beginning of each time slot. The measurement is assumed to be perfect [6], [7], [13]. We use δ k to indicate the successfulness of the sensor's transmission in time slot k. Thus, δ k = 1 if the sensor is scheduled to send a packet carrying July 19, 2019 DRAFT its measurement to the controller in time slot k (i.e., a k = 1) and the transmission is successful, and δ k = 0 otherwise.…”

Section: B Half-duplex Operation Of the Controllermentioning

confidence: 99%

“…To better explain the intuition behind the predictive control method (5), (7) and (8), we give an example below.…”

Section: V-step Predictive Plant-state Controlmentioning

confidence: 99%

“…In this case, we assume that B = [1,1] , and K = [−2.9, 1] satisfying (A + BK) 2 = 0. For fair comparison, all the policies considered in this subsection adopts the same predictive control method in (5), (7) and (8) with v = 2.…”

Section: B Two-step Controllable Casementioning

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%

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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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“…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%