Robustness under bounded uncertainty with phase information
- 1 January 1999
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 44 (1) , 50-65
- https://doi.org/10.1109/9.739067
Abstract
The authors consider uncertain linear systems where the uncertainties, in addition to being bounded, also satisfy constraints on their phase. In this context, the authors define the "phase-sensitive structured singular value" (PS-SSV) of a matrix and show that sufficient (and sometimes necessary) conditions for stability of such uncertain linear systems can be rewritten as conditions involving PS-SSV. They then derive upper bounds for PS-SSV, computable via convex optimization. They extend these results to the case where the uncertainties are structured (diagonal or block-diagonal, for instance).Keywords
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