Output feedback controllers for systems with structured uncertainty
- 1 May 1997
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 42 (5) , 715-719
- https://doi.org/10.1109/9.580887
Abstract
This paper deals with the design of compensators that provide a guaranteed level of performance, in the sense of L/sub 2/ gain, for systems with time-varying structured uncertainty. For stability, the notion of quadratic stability, using a single Lyapunov function, is used. The uncertainty is assumed to be polytopic (e.g., the uncertainty vector enters the state-space representation of the systems affinely). Earlier results in the characterization of H/sub /spl infin// controllers are used to show that quadratic stability with performance is equivalent to a bi-affine problem. A set of conditions, under which the problem becomes convex, is discussed.Keywords
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