Robust Stabilization of Sampled-data Systems to Structured LTI Perturbations
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Dullerud, G. Glover, K.
IEEE Transactions on Automatic Control, 38:10, 1993 Download (full-text)
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Abstract
Sampled-data systems with stable, structured, LTI (linear time-invariant) perturbations in the half-plane algebra applied to the continuous-time plant are considered. Necessary and sufficient conditions are derived for robust L/sub 2/ stability of such systems. An example is provided to illustrate the results, which shows that the small gain theorem can be an extremely conservative robustness test in this sampled-data context.
