Frequency-domain analysis of linear periodic operators with application to sampled-data control design

The development of controller usually involves two major steps: a design step in which a generalised plant is constructed, followed by a synthesis step in which an optimisation problem is solved for the generalised plant. Frequency-domain analysis methods are commonly used in the design step, for ex...

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Bibliographic Details
Published inProceedings of the 36th IEEE Conference on Decision and Control Vol. 5; pp. 4318 - 4323 vol.5
Main Authors Cantoni, M.W., Glover, K.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1997
Subjects
Equations
Frequency dependence
Frequency domain analysis
Frequency response
Sampling methods
Steady-state
Symmetric matrices
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ISBN0780341872
9780780341876
ISSN0191-2216
DOI10.1109/CDC.1997.649525

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Summary:The development of controller usually involves two major steps: a design step in which a generalised plant is constructed, followed by a synthesis step in which an optimisation problem is solved for the generalised plant. Frequency-domain analysis methods are commonly used in the design step, for example loop-shaping. In this paper we develop a new frequency-domain analysis method for periodic operators. Specifically, we define the average-power gain matrix, which for a periodic operator characterises the average power of the asymptotic ("steady-state") response to a sinusoidal input of a single frequency. To illustrate an application of the new analysis method we show how to use the average-power gain matrix in the H/sub /spl infin// loop-shaping design of sampled-data, closed-loop systems.
ISBN:0780341872
9780780341876
ISSN:0191-2216
DOI:10.1109/CDC.1997.649525