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.
||©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.
||continuous time systems , delays , discrete time systems , feedback; invariance; linear quadratic Gaussian control; optimal control; signal processing; stability; telecommunication channels;
||Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Professor Rick Middleton
||10 Nov 2010 16:36
|Journal or Publication Title:
||American Control Conference, 2008, Proceedings. ISBN 978-1-4244-2078-0
Repository Staff Only(login required)
||Item control page