DocumentCode :
2830663
Title :
LQG control for distributed systems over TCP-like erasure channels
Author :
Garone, E. ; Sinopoli, Bruno ; Casavola, Alessandro
Author_Institution :
Univ. degli Studi della Calabria, Rende
fYear :
2007
fDate :
12-14 Dec. 2007
Firstpage :
44
Lastpage :
49
Abstract :
This paper is concerned with control applications over lossy data network. Sensor data is transmitted to an estimation-control unit over a network and control commands are issued to subsystems over the same network. Sensor and control 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. In B. Sinopoli, et al., (Aug. 2003) a complete analysis was carried out for the case the network is composed of a single sensor and control channel. Here a nontrivial generalization to the case of sensor and actuator networks with p distinct sensor channels and m control channels is presented. It has been proven that the separation principle still holds for all protocols where packets are acknowledged by the receiver (e.g. TCP-like protocols). Moreover it has been pointed out for the first time that the optimal LQG control is a linear function of the state that explicitly depends on the command channels lost probabilities. Such a dependence is not present in pre-existing literature, since the amplitude of each control input has to be weighted by the loss probability associated to its own channel. This is not observed in the single channel case. In the infinite horizon case stability conditions on the arrival are derived. Their computation requires the use of linear matrix inequalities (LMIs).
Keywords :
discrete time systems; linear matrix inequalities; linear quadratic Gaussian control; transport protocols; Bernoulli process; LQG control; TCP-like erasure channels; discrete-time linear quadratic Gaussian; distributed systems; linear matrix inequalities; lossy data network; nontrivial generalization; optimal control problem; Actuators; Communication channels; Communication system control; Control systems; Distributed control; Optimal control; Probability; Protocols; Stability; Wireless sensor networks;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
ISSN :
0191-2216
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
Type :
conf
DOI :
10.1109/CDC.2007.4434947
Filename :
4434947
Link To Document :
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