NDLI: Control Over Wireless Communication Channel for Continuous-Time Systems

Content Provider	IEEE Xplore Digital Library
Author	Charalambous, C.D. Denic, S.Z. Farhadi, A.
Copyright Year	2005
Description	Author affiliation: 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.cy. (Charalambous, C.D.)
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.
Starting Page	3225
Ending Page	3230
File Size	2965561
Page Count	6
File Format	PDF
ISBN	0780395670
DOI	10.1109/CDC.2005.1582658
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-15
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	IEEE/EUCA
Subject Keyword	Communication system control Control systems Wireless communication Channel capacity Optimal control Additive white noise Sufficient conditions Observability Communication channels Wireless sensor networks
Content Type	Text
Resource Type	Article

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