Frequency-Domain Analysis of Linear Periodic Operators with Application to Sampled-Data Control Design
Cantoni M. W. and Glover K.
Proceedings of the 36th IEEE CDC, December 1997Abstract
The development of an optimal controller 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-infinity loop-shaping design of sampled-data, closed-loop systems.
Pre-Prints
[PS]
BibTex Entry
- @InProceedings{,
- author = {Cantoni M. W. and Glover K.},
- title = {Frequency-Domain Analysis of Linear Periodic Operators with Application to Sampled-Data Control Design },
- address = {San Diego},
- booktitle = {Proceedings of the 36th IEEE CDC},
- month = {December},
- year = {1997}
- }
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