On the gain margin improvement using dynamic compensation based on generalized sampled-data hold functions

This paper shows that the use of dynamic compensation based on generalized sampled-data hold functions (GSHF) can arbitrarily improve the gain margin for continuous-time nonminimum phase linear systems. The GSHF compensator is a particular periodic digital controller. The effect of sampling period o...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1994-11, Vol.39 (11), p.2347-2354
Main Authors: Wei-Yong Yan, Anderson, B.D.O., Bitmead, R.R.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control systems
Control theory. Systems
Design methodology
Digital control
Exact sciences and technology
Linear systems
Mathematics
Output feedback
Sampling methods
Systems engineering and theory
Time varying systems
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Summary:This paper shows that the use of dynamic compensation based on generalized sampled-data hold functions (GSHF) can arbitrarily improve the gain margin for continuous-time nonminimum phase linear systems. The GSHF compensator is a particular periodic digital controller. The effect of sampling period on the gain margin is analyzed. Furthermore, it is proved that under a mild condition, the gain margin improvement can be achieved without forcing the sampling period small. An important advantage of periodic compensation over LTI compensation is found to be the capability of reducing conflict between gain margin and sensitivity.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.333791