Rojas, A.J. and Middleton, R.H. and Freudenberg, J.S. and Braslavsky, J.H.
Input Disturbance Rejection in Channel Signal-to-Noise Ratio
Constrained Feedback Control.
American Control Conference, 2008, Proceedings. ISBN 978-1-4244-2078-0 .
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.
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||continuous time systems , delays , discrete time systems , feedback; invariance; linear quadratic Gaussian control; optimal control; signal processing; stability; telecommunication channels;
||Science & Engineering > Hamilton Institute
Professor Rick Middleton
||10 Nov 2010 16:36
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||American Control Conference, 2008, Proceedings. ISBN 978-1-4244-2078-0
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