Tradeoffs in frequency-weighted H_infinity-control

V. Balakrishnan and S. Boyd

Proceedings Joint IEEEIFAC Symposium on Computer-Aided Control System Design/, Tucson, Arizona, pp.469-474, March 1994.

An important problem in H_infinity-control is the design of a controller that minimizes the H_infinity-norm of a closed-loop transfer matrix, multiplied by a suitable weighting function which reflects different performance requirements over different frequency bands. Often, these are competing requirements, and in this paper, we show how we may efficiently compute tradeoffs between them using a simple application of tangential Hermite-Fejer interpolation theory.