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Necessary and Sufficient Conditions for Robust Stability of SISO Sampled-data Systems to LTI Perturbations

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2 Author(s)
Dullerud, G. ; Engineering Department, University of Cambridge, Cambridge CB2 lPZ, England ; Glover, Keith

SISO sampled-data systems are considered with stable, additive, LTI perturbations in the half-plane algebra to the continuous-time plant. Necessary and sufficient conditions are derived for robust L2 stability of such sampled-data systems. An example is provided to illustrate the results, and shows that the small gain theorem can be an extremely conservative robustness test in this sampled-data context.

Published in:

American Control Conference, 1992

Date of Conference:

24-26 June 1992