- Title
- On the role of sampling zeros in robust sampled-data control design
- Creator
- Weller, S. R.; Middleton, R. H.
- Relation
- 37th IEEE Conference on Decision and Control. Proceedings of the 37th Conference on Decision and Control (Tampa, FL 1998) p. 325-330
- Publisher Link
- http://dx.doi.org/10.1109/CDC.1998.760694
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 1998
- Description
- 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 H2082₂- and H∞-optimal discrete-time and sampled data designs may lead to (near-) cancellation, and we therefore argue that their suitability is restricted
- Subject
- robust sampled-data feedback design; zero-order hold (ZOH); sampled-data control systems; Nyquist frequency
- Identifier
- http://hdl.handle.net/1959.13/29254
- Identifier
- uon:2501
- Identifier
- ISBN:0780343948
- Rights
- Copyright © 1998 IEEE. Reprinted from Proceedings of the 37th IEEE Conference on Decision and Control, 325-330. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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