- Title
- Optimal signal to noise ratio in feedback over communication channels with memory
- Creator
- Rojas, A. J.; Freudenberg, J. S.; Braslavsky, Julio H.; Middleton, R. H.
- Relation
- 45th IEEE Conference on Decision and Control. Proceedings of the 45th IEEE Conference on Decision and Control (San Diego, CA 13-15 Dec, 2006) p. 1129-1134
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2006.377171
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2006
- Description
- Communication channels impose a number of obstacles to feedback control, such as delay, noise, and constraints in communication data-rate. One alternate line of recent work considers the problem of feedback stabilization subject to a constraint in the signal-to-noise ratio (SNR). It has been shown for continuous-time systems that the optimal control problem arising in achieving minimal SNR can be formulated as a linear quadratic Gaussian (LQG) control problem with weights chosen as in the loop transfer recovery (LTR) technique. The present paper extends such LQG/LTR formulation to discrete-time systems with feedback over channels with memory. By using such formulation, we derive exact expressions for the LTI controller and loop sensitivity functions that achieve minimal SNR under the effect of time-delay, non minimum phase zeros and colored additive noise. For the minimum-phase case with white noise and no time delay, we show that the optimal feedback loop obtained after applying LTR has a structure equivalent to that of a communication channel with feedback from the output to the input.
- Subject
- continuous time systems; discrete time systems; feedback; linear quadratic Gaussian; control; optimal control; stability; telecommunication channels
- Identifier
- uon:2147
- Identifier
- http://hdl.handle.net/1959.13/28577
- Identifier
- ISBN:1424401712
- Rights
- Copyright © 2006 IEEE. Reprinted from Proceedings of the 45th IEEE Conference on Decision and Control, 1129-1134. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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