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Robust stability and performance analysis of sampled-data systems

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2 Author(s)
Sivashankar, N. ; Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA ; Khargonekar, P.P.

The authors consider the robust stability and performance analysis of a general linear interconnection of a continuous-time plant and a discrete-time controller via sample and hold devices. They obtain necessary and sufficient conditions for the robust stability of the feedback system consisting of an uncertain plant represented as a known linear time-invariant (nominal) model with time-varying norm bounded uncertainty and a shift-invariant, discrete-time controller. These results show that the condition arising from the small gain theorem is necessary and sufficient when the uncertainties belong to a class of linear systems. Also similar results are derived for a case of structured uncertainty. Both L2 and L signal norms are considered. Robust performance analysis problem is solved by converting it to a robust stability analysis problem

Published in:

Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 1 )