Necessary and sufficient optimal control conditions for networked control systems with input delay and Markovian packet dropouts.
Saved in:
| Title: | Necessary and sufficient optimal control conditions for networked control systems with input delay and Markovian packet dropouts. |
|---|---|
| Authors: | Cai, Yuanyu1 (AUTHOR), Lu, Xiao2 (AUTHOR), Wang, Haixia1 (AUTHOR), Liang, Xiao3 (AUTHOR) liangxiao_sdu@163.com |
| Source: | Asian Journal of Control. May2024, Vol. 26 Issue 3, p1553-1563. 11p. |
| Subjects: | Pontryagin's minimum principle, Stochastic difference equations |
| Abstract: | This article studies the optimal control for networked control systems (NCSs) subject to Markovian packet dropouts and input delay. In this scenario, Markovian packet dropouts occur in two channels, that is, from sensor to controller and from controller to actuator. Meanwhile, the input delay arises in the channel from controller to actuator. The contributions of this paper are as the following two aspects: Firstly, based on Pontryagin's maximum principle, the solution to the forward and backward stochastic difference equations (FBSDEs) is obtained. Secondly, in virtue of the obtained solution to the FBSDEs, sufficient and necessary optimal control conditions are derived and the explicit expression of the optimal controller is presented. The validity of the results is illustrated by numerical examples. [ABSTRACT FROM AUTHOR] |
| Copyright of Asian Journal of Control is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
|
Full text is not displayed to guests.
Login for full access.
|
|
| Abstract: | This article studies the optimal control for networked control systems (NCSs) subject to Markovian packet dropouts and input delay. In this scenario, Markovian packet dropouts occur in two channels, that is, from sensor to controller and from controller to actuator. Meanwhile, the input delay arises in the channel from controller to actuator. The contributions of this paper are as the following two aspects: Firstly, based on Pontryagin's maximum principle, the solution to the forward and backward stochastic difference equations (FBSDEs) is obtained. Secondly, in virtue of the obtained solution to the FBSDEs, sufficient and necessary optimal control conditions are derived and the explicit expression of the optimal controller is presented. The validity of the results is illustrated by numerical examples. [ABSTRACT FROM AUTHOR] |
|---|---|
| ISSN: | 15618625 |
| DOI: | 10.1002/asjc.3283 |
