Feedback Stabilization Over a First Order Moving Average Gaussian Noise Channel

Middleton, Richard H.; Rojas, Alejandro J.; Freudenberg, J.S.; Braslavsky, Julio H.

doi:10.1109/tac.2008.2007183

Cited by 44 publications

(30 citation statements)

References 20 publications

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“…The requirements are the same if and only if the plant has relative degree one and is of minimum phase. These results have been extended in several ways in, e.g., [15], [19], [20].…”

Section: Introductionmentioning

confidence: 91%

Performance limitations for SISO LTI plants controlled over SNR constrained channels

Silva

Pulgar

2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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This paper presents performance limitations in the control of single-input single-output (SISO) linear timeinvariant (LTI) plants over signal-to-noise ratio (SNR) constrained channels. Our main result is a closed form characterization of the minimal stationary plant output variance when the controller has access to plant output measurements and the channel is placed between the controller and the actuator. We explicitly quantify the effects of plant dynamical features, namely unstable poles, non-minimum phase zeros, and frequency response, as well as the effects of channel feedback, on the best achievable performance. Our results shed light into the interplay between optimal performance and SNR constraints.

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“…The requirements are the same if and only if the plant has relative degree one and is of minimum phase. These results have been extended in several ways in, e.g., [15], [19], [20].…”

Section: Introductionmentioning

confidence: 91%

Performance limitations for SISO LTI plants controlled over SNR constrained channels

Silva

Pulgar

2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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“…Remark 3: The optimality of the linear approach, in terms of channel capacity, as been shown to hold for the case of discrete-time minimum phase unstable plant models with relative degree one and AWGN channel models, see for example [14], as well as single pole unstable minimum phase plant models with relative degree 1 and an MA1 ACGN channel model, see [26].…”

Section: )mentioning

confidence: 99%

Signal-to-Noise Ratio Fundamental Limitations in Continuous-Time Linear Output Feedback Control

Rojas¹

2009

IEEE Trans. Automat. Contr.

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“…The closed-form feedback capacity of the first-order moving average additive Gaussian noise channel had been established in Kim (2006). Based on the results of Kim (2006) stabilisation of a minimum phase plant with relative degree 1 and a single unstable pole over a first-order moving average Gaussian noise channel had been investigated in Middleton, Rojas, Freudenberg, and Braslavsky (2009).…”

Section: Introductionmentioning

confidence: 99%

Disturbance attenuation over a first-order moving average Gaussian noise channel

Guan

et al. 2014

International Journal of Systems Science

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In this paper, the problem of disturbance attenuation has been studied for a linear time-invariant feedback control system with a first-order moving average Gaussian noise channel. By applying the concept of entropy power, a lower bound of signal-to-noise ratio has been achieved which is necessary for stabilisation of a system with the limited channel input power constraint. Moreover, the problem of minimising the influence of a stochastic disturbance on the output has also been investigated, and the controller design method has been obtained by using Youla parameterisation and H 2 theory. It is shown that the minimum variance of the system output depends not only on the disturbance variance, noise variance and unstable poles, but also on the non-minimum phase zeros and channel parameter. Finally, the effectiveness of the proposed results is illustrated by a numerical example.

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Feedback Stabilization Over a First Order Moving Average Gaussian Noise Channel

Abstract: Index Terms-Channel capacity, colored noise, control over communications, signal to noise ratio (SNR).

Cited by 44 publications

References 20 publications

Performance limitations for SISO LTI plants controlled over SNR constrained channels

Performance limitations for SISO LTI plants controlled over SNR constrained channels

Signal-to-Noise Ratio Fundamental Limitations in Continuous-Time Linear Output Feedback Control

Disturbance attenuation over a first-order moving average Gaussian noise channel

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