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LQG control over lossy TCP-like networks with probabilistic packet acknowledgements

LQG control over lossy TCP-like networks with probabilistic packet acknowledgements This paper focuses on control applications over lossy data networks. Sensor data is transmitted to an estimation-control unit over a network, and control commands are issued to subsystems over the same network. Sensor, control and acknowledgement packets may be randomly lost according to a Bernoulli process. In this context, the discrete-time Linear Quadratic Gaussian (LQG) optimal control problem is considered. We can show how the partial loss of acknowledgements makes the optimal control law a nonlinear function of the information set. For the special case of complete state observation we can compute the optimal controller and show that the stability range increases monotonically with the arrival rate of the acknowledgement packets. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Systems, Control and Communications Inderscience Publishers

LQG control over lossy TCP-like networks with probabilistic packet acknowledgements

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd. All rights reserved
ISSN
1755-9340
eISSN
1755-9359
DOI
10.1504/IJSCC.2010.031158
Publisher site
See Article on Publisher Site

Abstract

This paper focuses on control applications over lossy data networks. Sensor data is transmitted to an estimation-control unit over a network, and control commands are issued to subsystems over the same network. Sensor, control and acknowledgement packets may be randomly lost according to a Bernoulli process. In this context, the discrete-time Linear Quadratic Gaussian (LQG) optimal control problem is considered. We can show how the partial loss of acknowledgements makes the optimal control law a nonlinear function of the information set. For the special case of complete state observation we can compute the optimal controller and show that the stability range increases monotonically with the arrival rate of the acknowledgement packets.

Journal

International Journal of Systems, Control and CommunicationsInderscience Publishers

Published: Jan 1, 2010

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