Jorge Cortés
Professor
Cymer Corporation Endowed Chair
The effect of delayed side information on fundamental limitations of
disturbance attenuation
Y. Zhao, V. Gupta, J. Cortés
Proceedings of the IEEE Conference on
Decision and Control, Osaka, Japan, 2015, pp 1878-1883
Abstract
In this paper, we present a fundamental limitation of disturbance
attenuation in discrete-time single-input single-output (SISO)
feedback systems when the controller has delayed side information
about the external disturbance. Specifically, we assume that the
delayed information about the disturbance is transmitted to the
controller across a finite Shannon-capacity communication
channel. Our main result is a lower bound on the log sensitivity
integral in terms of open-loop unstable poles of the plant and the
characteristics of the channel, similar to the classical Bode
integral formula. A comparison with prior work that considers the
effect of preview side information of the disturbance at the
controller indicates that delayed side information and preview side
information play different roles in disturbance attenuation. In
particular, we show that for open-loop stable systems, delayed side
information cannot reduce the log integral of the sensitivity
function whereas it can for open-loop unstable systems, even when
the disturbance is a white stochastic process.
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Mechanical and Aerospace Engineering,
University of California, San Diego
9500 Gilman Dr,
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Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
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jorgilliyo