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

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2 Author(s)
Cantoni, M.W. ; Dept. of Eng., Cambridge Univ., UK ; Glover, K.

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 loop-shaping design of sampled-data, closed-loop systems

Published in:

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on  (Volume:5 )

Date of Conference:

10-12 Dec 1997