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Robust stability analysis of linear time-varying feedback systems

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If you have a question about this talk, please contact Dr Ioannis Lestas.

The robust stability of uncertain linear feedback interconnections is studied within an operator-theoretic setting via a time-varying generalisation of the nu-gap metric. It is also shown that the use of integral-quadratic-constraints to encapsulate the uncertainty can reduce conservatism. This involves establishing the path-connectedness of sufficiently small nu-gap balls. As an application of the theoretical developments, a sampled-data approximation problem is rigorously formulated and optimally solved. A linear-fractional characterisation of the nu-gap metric plays a central role throughout.

This talk is part of the CUED Control Group Seminars series.

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