DocumentCode :
3115310
Title :
Control Over Wireless Communication Channel for Continuous-Time Systems
Author :
Charalambous, Charalambos D. ; Denic, Stojan Z. ; Farhadi, Alireza
Author_Institution :
Electrical and Computer Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, Cyprus, School of Information Technology and Engineering, University of Ottawa, 161 Louis Pasteur, A519, Ottawa, Ontario KIN 6N5, Canada. chadcha@ucy.ac.
fYear :
2005
fDate :
12-15 Dec. 2005
Firstpage :
3225
Lastpage :
3230
Abstract :
This paper is concerned with the control of one dimensional continuous time linear Gaussian systems over additive white noise wireless fading channels subject to capacity constraints. Necessary and sufficient conditions are derived, for bounded asymptotic and asymptotic observability and stabilizability in the mean square sense, for controlling such systems. For the case of a noiseless time-invariant system controlled over a continuous time additive white Gaussian channel, the sufficient condition for stabilizability and observability states that the capacity of the channel, Ca, satisfies, Ca> [A]+, where A is the system coefficient and [a]+= a, if a ≥0 and [a]+= 0, if a < 0. Moreover, the necessary condition states that the channel capacity must satisfy Ca≥ [A]+. It is shown that a separation principle holds between the design of the communication and the control sub-systems, implying that the controller that would be optimal in the absence of the communication channel is also optimal for the problem of the controlling the system over the communication channel.
Keywords :
Additive white noise; Channel capacity; Communication channels; Communication system control; Control systems; Observability; Optimal control; Sufficient conditions; Wireless communication; Wireless sensor networks;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
Type :
conf
DOI :
10.1109/CDC.2005.1582658
Filename :
1582658
Link To Document :
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