NDLI: Limitations in tracking systems

Content Provider	Springer Nature Link
Author	Hurtado, Ivan Lopez Abdallah, Chaouki T. Jayaweera, Sudharman K.
Copyright Year	2010
Abstract	In this paper, we obtain information theoretical conditions for tracking in linear time-invariant control systems. We consider the particular case where the closed loop contains a channel in the feedback loop. The mutual information rate between the feedback signal and the reference input signal is used to quantify information about the reference signal that is available for feedback. This mutual information rate must be maximized in order to improve the tracking performance. The mutual information is shown to be upper bounded by a quantity that depends on the unstable eigenvalues of the plant and on the channel capacity. If the channel capacity reaches a lower limit, the feedback signal becomes completely uncorrelated with the reference signal, rendering feedback useless. We also find a lower bound on the expected squared tracking error in terms of the entropy of a random reference signal. We show a misleading case where the mutual information rate does not predict the expected effect of nonminimum phase zeros. However, mutual information rate helps generalize the concept that there is a tradeoff when tracking and disturbance rejection are simultaneous goals, and a constraint communication channel is present in the feedback loop. Examples and simulations are provided to demonstrate some of the results.
Starting Page	351
Ending Page	358
Page Count	8
File Format	PDF
ISSN	16726340
Journal	Journal of Control Theory and Applications
Volume Number	8
Issue Number	3
e-ISSN	19930623
Language	English
Publisher	South China University of Technology and Academy of Mathematics and Systems Science, CAS
Publisher Date	2010-07-25
Publisher Place	Heidelberg
Access Restriction	Subscribed
Subject Keyword	Limited channel capacity Tracking systems Constraint feedback Control Structures and Microprogramming Control
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Computer Science Applications Hardware and Architecture

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