NDLI: On the role of sampling zeros in robust sampled-data control design

Content Provider	IEEE Xplore Digital Library
Author	Weller, S.R. Middleton, R.H.
Copyright Year	1998
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Newcastle Univ., Callaghan, NSW, Australia (Weller, S.R.)
Abstract	In this paper, we investigate the implications for robust sampled-data feedback design of minimum phase sampling zeros appearing in the transfer function of discrete-time plants. Such zeros may be obtained by zero-order hold (ZOH) sampling of continuous-time models having relative degree two or greater. In particular, we address the robustness of sampled-data control systems to multiplicative uncertainty in the model of the continuous-time plant. We argue that lightly damped controller poles, which may arise from attempting to cancel, or almost cancel, sampling zeros of the discretized plant are likely to introduce peaks into the fundamental complementary sensitivity function near the Nyquist frequency. This in turn makes the satisfaction of necessary conditions for robust stability difficult for all but the most modest amounts of modeling uncertainty in the continuous-time plant. Some H/sub 2/- and H/sub /spl infin//-optimal discrete-time and sampled data designs may lead to (near-) cancellation, and we therefore argue that their suitability is restricted.
Starting Page	325
Ending Page	330
File Size	597557
Page Count	6
File Format	PDF
ISBN	0780343948
ISSN	01912216
DOI	10.1109/CDC.1998.760694
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-12-18
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sampling methods Robust control Control design Uncertainty Robustness Feedback Transfer functions Control system synthesis Lighting control Poles and zeros
Content Type	Text
Resource Type	Article

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