Optimal Linear Filtering for Networked Control Systems under Time Correlated Fading Channel and Noise

2021 ◽  
pp. 108387
Author(s):  
Wei Liu ◽  
Peng Shi ◽  
Huiyan Zhang
Keyword(s):  
Control Systems ◽  
Fading Channel ◽  
Networked Control Systems ◽  
Networked Control ◽  
Linear Filtering ◽  
Correlated Fading ◽  
Optimal Linear ◽  
Optimal Linear Filtering

scholarly journals Optimal control for networked control systems with multiple delays and packet dropouts

2020 ◽  
Vol 17 (3) ◽  
pp. 172988142091376
Author(s):  
Xiao Lu ◽  
Qiyan Zhang ◽  
Xiao Liang ◽  
Haixia Wang ◽  
Chunyang Sheng ◽  
...  
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Networked Control ◽  
Multiple Delays ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Packet Dropouts ◽  
Optimal Linear ◽  
Gaussian System ◽  
Necessary And Sufficient

This article focuses on the problem of optimal linear quadratic Gaussian control for networked control systems with multiple delays and packet dropouts. The main contributions are twofold. Firstly, based on the introduced maximum principle for linear quadratic Gaussian system with multiple input delays and packet dropouts, a nonhomogeneous relationship between the state and costate is obtained, which is the key technical tool to solve the problem. Secondly, a necessary and sufficient condition for the optimal networked control problem is given in virtue of the coupled Riccati equations, and the explicit expression of the optimal controller is presented. Numerical examples are shown to illustrate the proposed algorithm.

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