A sensitivity tradeoff for plants with time delay
- 1 February 1987
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 32 (2) , 99-104
- https://doi.org/10.1109/tac.1987.1104547
Abstract
In this paper we show that the sensitivity function of a scalar feedback system must satisfy an integral constraint when the open-loop transfer function is strictly proper and contains a time delay. The integral constraint is identical to the classical Bode sensitivity integral, which holds provided the open-loop gain has greater than a one-pole rolloff. The design implications of the two constraints are somewhat different, however, and this difference is discussed. The relation between open-loop phase and a conflict between bandwidth and sensitivity properties is explored.Keywords
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