Optimal Control for Networked Control Systems with Markovian Packet Losses

This paper is concerned with the optimal output feedback control problem for networked control systems (NCSs) with Markovian packet losses. In this paper, the packet losses occur both between the sensor and controller and between the controller and actuator. Moreover, the packet loss channels are de...

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Main Authors: Xiao Han, Zhijian Ji, Qingyuan Qi
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/4804320
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author Xiao Han
Zhijian Ji
Qingyuan Qi
author_facet Xiao Han
Zhijian Ji
Qingyuan Qi
author_sort Xiao Han
collection DOAJ
description This paper is concerned with the optimal output feedback control problem for networked control systems (NCSs) with Markovian packet losses. In this paper, the packet losses occur both between the sensor and controller and between the controller and actuator. Moreover, the packet loss channels are described with two-state Markov chains. Since the precise state information cannot be obtained, thus an optimal recursive estimator is designed. Furthermore, by adopting the dynamic programming approach, we derive the optimal output feedback control, which is based on the solution to a given modified Riccati equation. The obtained results can be seen as an important implementation of the control theory for NCSs with unreliable communication channels.
format Article
id doaj-art-42a3bbe4e2224edfb12cb9eafa512988
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-42a3bbe4e2224edfb12cb9eafa5129882025-02-03T01:05:14ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/48043204804320Optimal Control for Networked Control Systems with Markovian Packet LossesXiao Han0Zhijian Ji1Qingyuan Qi2Institute of Complexity Science and Shandong Key Laboratory of Industrial Control Technology, College of Automation, Qingdao University, Qingdao 266071, Shandong, ChinaInstitute of Complexity Science and Shandong Key Laboratory of Industrial Control Technology, College of Automation, Qingdao University, Qingdao 266071, Shandong, ChinaInstitute of Complexity Science and Shandong Key Laboratory of Industrial Control Technology, College of Automation, Qingdao University, Qingdao 266071, Shandong, ChinaThis paper is concerned with the optimal output feedback control problem for networked control systems (NCSs) with Markovian packet losses. In this paper, the packet losses occur both between the sensor and controller and between the controller and actuator. Moreover, the packet loss channels are described with two-state Markov chains. Since the precise state information cannot be obtained, thus an optimal recursive estimator is designed. Furthermore, by adopting the dynamic programming approach, we derive the optimal output feedback control, which is based on the solution to a given modified Riccati equation. The obtained results can be seen as an important implementation of the control theory for NCSs with unreliable communication channels.http://dx.doi.org/10.1155/2020/4804320
spellingShingle Xiao Han
Zhijian Ji
Qingyuan Qi
Optimal Control for Networked Control Systems with Markovian Packet Losses
Complexity
title Optimal Control for Networked Control Systems with Markovian Packet Losses
title_full Optimal Control for Networked Control Systems with Markovian Packet Losses
title_fullStr Optimal Control for Networked Control Systems with Markovian Packet Losses
title_full_unstemmed Optimal Control for Networked Control Systems with Markovian Packet Losses
title_short Optimal Control for Networked Control Systems with Markovian Packet Losses
title_sort optimal control for networked control systems with markovian packet losses
url http://dx.doi.org/10.1155/2020/4804320
work_keys_str_mv AT xiaohan optimalcontrolfornetworkedcontrolsystemswithmarkovianpacketlosses
AT zhijianji optimalcontrolfornetworkedcontrolsystemswithmarkovianpacketlosses
AT qingyuanqi optimalcontrolfornetworkedcontrolsystemswithmarkovianpacketlosses