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Limited By:	Subject = linear quadratic Gaussian control;

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Input Disturbance Rejection in Channel Signal-to-Noise Ratio Constrained Feedback Control (2008)

Rojas, A.J.; Middleton, R.H.; Freudenberg, J.S.; Braslavsky, J.H.

Input Disturbance Rejection in Channel Signal-to-Noise Ratio Constrained Feedback Control (2008)

Rojas, A.J.; Middleton, R.H.; Freudenberg, J.S.; Braslavsky, J.H.

Abstract:

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.

http://mural.maynoothuniversity.ie/2245/

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Optimal Signal to Noise Ratio in Feedback over Communication Channels with Memory (2006)

Rojas, A.J.; Freudenberg, J.S.; Braslavsky, J.H.; Middleton, R.H.

Optimal Signal to Noise Ratio in Feedback over Communication Channels with Memory (2006)

Rojas, A.J.; Freudenberg, J.S.; Braslavsky, J.H.; Middleton, R.H.

Abstract:

Communication channels impose a number of obstacles to feedback control, such as delay, noise, and constraints in communication data-rate. One alternate line of recent work considers the problem of feedback stabilization subject to a constraint in the signal-to-noise ratio (SNR). It has been shown for continuous-time systems that the optimal control problem arising in achieving minimal 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 such LQG/LTR formulation to discretetime systems with feedback over channels with memory. By using such formulation, we derive exact expressions for the LTI controller and loop sensitivity functions that achieve minimal SNR under the effect of time-delay, non minimum phase zeros and colored additive noise. For the minimum-phase case with white noise and no time delay, we show that the optimal feedback loop obtained after applying LTR...

http://mural.maynoothuniversity.ie/1789/

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Stabilization with Disturbance Attenuation over a Gaussian Channel (2007)

Freudenberg, J.S.; Middleton, R.H.; Braslavsky, J.H.

Stabilization with Disturbance Attenuation over a Gaussian Channel (2007)

Freudenberg, J.S.; Middleton, R.H.; Braslavsky, J.H.

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.

http://mural.maynoothuniversity.ie/1722/

Displaying Results 1 - 3 of 3 on page 1 of 1