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Input Disturbance Rejection in Channel Signal-to-Noise Ratio Constrained Feedback Control
Rojas, A.J.; Middleton, R.H.; Freudenberg, J.S.; Braslavsky, J.H.
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.
Keyword(s): Hamilton Institute; continuous time systems ; delays ; discrete time systems ; feedback; invariance; linear quadratic Gaussian control; optimal control; signal processing; stability; telecommunication channels
Publication Date:
Type: Journal article
Peer-Reviewed: Yes
Institution: Maynooth University
Citation(s): 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
Publisher(s): IEEE
File Format(s): application/pdf
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First Indexed: 2020-01-31 06:04:55 Last Updated: 2020-04-02 07:37:27