Approximate solution to optimal linear quadratic Gaussian control over non-acknowledgment networks

2020 ◽  
Vol 357 (4) ◽  
pp. 2049-2066
Author(s):  
Hong Lin ◽  
Mei Liu ◽  
Huaicheng Yan ◽  
Jinliang Liu ◽  
Shan Lu
Keyword(s):  
Approximate Solution ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Optimal Linear

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.

Comparison of Optimal Linear Regulators Applied to Minimization of Steering Losses of a Containership in a Seaway Using Frequency Domain Representations

1982 ◽  
Vol 104 (3) ◽  
pp. 229-237 ◽  
Author(s):  
R. E. Reid ◽  
P. F. Parent
Keyword(s):  
Frequency Domain ◽  
High Speed ◽  
Performance Criteria ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Linear Regulator ◽  
Optimal Linear ◽  
Nonlinear Force ◽  
Linear Regulators ◽  
Derivatives Of

Linear Quadratic Gaussian (LQG) techniques are applied to the design of a steering controller for minimization of propulsion losses due to steering of a high-speed containership in a seaway. Alternate performance criteria are used deriving from the evaluation of the nonlinear force derivatives of the surge equation related to steering. The sensitivities of the various resulting LQG controllers to the seaway environment are compared using frequency domain representations of the seaway disturbances which are shown to be far from white Gaussian noise. The implications for optimal linear regulator design in this environment are discussed on the basis of the results presented.

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