L2-Induced norms and frequency gains of sampled-data sensitivity operators

This paper develops exact, computable formulas for the frequency gain and L2-induced norm of the sensitivity operator in a sampled-data control system. With sampled data, we refer to a system that combines both continuous-time and discrete-time signals, which is studied in continuous time. The expre...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1998-02, Vol.43 (2), p.252-258
Main Authors: BRASLAVSKY, J. H, MIDDLETON, R. H, FREUDENBERG, J. S
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
System theory
Online Access:Get full text
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Summary:This paper develops exact, computable formulas for the frequency gain and L2-induced norm of the sensitivity operator in a sampled-data control system. With sampled data, we refer to a system that combines both continuous-time and discrete-time signals, which is studied in continuous time. The expressions are obtained using lifting techniques in the frequency domain and have application in performance and stability robustness analysis taking into account full intersample information. (Author)
ISSN:0018-9286
1558-2523
DOI:10.1109/9.661076