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 u...Show MoreMetadata
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.
Published in: IEEE Transactions on Automatic Control ( Volume: 42, Issue: 5, May 1997)
DOI: 10.1109/9.580887