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Tracking with an H^∞ criterion

Hassibi, Babak and Kailath, Thomas (1997) Tracking with an H^∞ criterion. In: Proceedings of the 36th IEEE Conference on Decision and Control, 1997. Vol.4. IEEE , Piscataway, NJ, pp. 3594-3599. ISBN 0-7803-4187-2.

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We study the problem of tracking a reference signal from the H∞ point of view. As opposed to general H^∞ problems, where only suboptimal solutions are obtained, we show that, for both the full information and measurement feedback tracking problems the H^∞-optimal solutions can be explicitly found. The results also indicate an interesting dichotomy between minimum phase and non-minimum phase plants: for minimum phase plants the best causal tracker performs as well as the best noncausal tracker, whereas for non-minimum phase plants, causal trackers cannot reduce the H^∞ norms from their a priori values. We also mention some remedies for the non-minimum phase case, such as adding more actuators (control inputs) or allowing for some finite delay. For causal tracking of non-minimum phase plants, we show that a delay equal to at least the number of non-minimum phase zeros of the plant is required.

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Additional Information:© 1997 IEEE. This work was supported in part by DARPA through the Department of Air Force under contract F49620-95-1-0525-P00001 and by the Joint Service Electronics Program at Stanford under contract DAAH04-94-G-0058-P00003.
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Air Force Office of Scientific Research (AFOSR)F49620-95-1-0525-P00001
Joint Service Electronics ProgramDAAH04-94-G-0058-P00003
Record Number:CaltechAUTHORS:20150218-070205310
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54900
Deposited By: Shirley Slattery
Deposited On:28 Feb 2015 03:38
Last Modified:10 Nov 2021 20:39

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