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Stabilization with Disturbance Attenuation over a Gaussian Channel

Freudenberg, J.S. and Middleton, R.H. and Braslavsky, J.H. (2007) Stabilization with Disturbance Attenuation over a Gaussian Channel. In: Proceedings of the 46th IEEE Conference on Decision and Control New Orleans, LA, USA, Dec. 12-14, 2007, Dec. 12-14, 2007, New Orleans, LA, USA.

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Abstract

We propose a linear control and communication scheme for the purposes of stabilization and disturbance attenuation when a discrete Gaussian channel is present in the feedback loop. Specifically, the channel input is amplified by a constant gain before transmission and the channel output is processed through a linear time invariant filter to produce the control signal. We show how the gain and filter may be chosen to minimize the variance of the plant output. For an order one plant, our scheme achieves the theoretical minimum taken over a much broader class of compensators.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Copyright Notice "©2007 IEEE. Reprinted from Proceedings of the 46th IEEE Conference on Decision and Control New Orleans, LA, USA, Dec. 12-14, 2007. 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." http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4434535&isnumber=4434000
Keywords: Gaussian channels; Compensation; Discrete systems; Feedback; Filtering theory; Linear quadratic Gaussian control; LQG control; Linear systems; Stability; Communication scheme; Compensator; Discrete Gaussian channel; Disturbance attenuation; Feedback loop; Linear time invariant filter; Stabilization; Hamilton Institute.
Subjects: Science & Engineering > Hamilton Institute
Science & Engineering > Computer Science
Item ID: 1722
Depositing User: Hamilton Editor
Date Deposited: 07 Dec 2009 14:26
Refereed: Yes
URI:

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