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Stabilization with Disturbance Attenuation over a Gaussian Channel
Freudenberg, J.S.; Middleton, R.H.; Braslavsky, J.H.
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.
Keyword(s): Hamilton Institute; Computer Science; 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.
Publication Date:
Type: Conference item
Peer-Reviewed: Yes
Institution: Maynooth University
Citation(s): 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.
File Format(s): application/pdf
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First Indexed: 2020-01-31 06:02:24 Last Updated: 2020-04-02 07:43:16