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Input Disturbance Rejection in Channel Signal-to-Noise Ratio Constrained Feedback Control

Rojas, A.J. and Middleton, R.H. and Freudenberg, J.S. and Braslavsky, J.H. (2008) Input Disturbance Rejection in Channel Signal-to-Noise Ratio Constrained Feedback Control. American Control Conference, 2008, Proceedings. ISBN 978-1-4244-2078-0 . pp. 3100-3105. ISSN 0743-1619

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Abstract

Communication channels impose a number of obstacles to feedback control. One recent line of work considers the problem of feedback stabilisation subject to a constraint on the channel signal-to-noise ratio (SNR). It has been shown for continuous-time systems that the optimal control problem of achieving the infimal 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 this formulation to: discretetime systems; communications over channels with memory; and input disturbance rejection. By using this formulation, we derive exact expressions for the linear time invariant (LTI) controller that achieves the infimal SNR under the effect of time-delay and additive coloured noise. We then quantify the infimal SNR required for both stabilisation and input disturbance rejection for a relative degree one, minimum phase plant and a memoryless Gaussian channel.

Item Type: Article
Additional Information: ©2008 IEEE. 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 to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: continuous time systems , delays , discrete time systems , feedback; invariance; linear quadratic Gaussian control; optimal control; signal processing; stability; telecommunication channels;
Subjects: Science & Engineering > Hamilton Institute
Item ID: 2245
Identification Number: DOI: 10.1109/ACC.2008.4586969
Depositing User: Professor Rick Middleton
Date Deposited: 10 Nov 2010 16:36
Journal or Publication Title: American Control Conference, 2008, Proceedings. ISBN 978-1-4244-2078-0
Publisher: IEEE
Refereed: Yes
URI:

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