μ synthesis by D - K iterations with constant scaling

This paper is concerned with scaled H_∞ synthesis. Scaling is introduced to take into account structured problems in Linear Fractional form where the structured aspect comes from uncertainties and/or performance objectives. A convex characterisation to compute constant (frequency independent) scaling of transfer functions is presented. It is combined with H_∞ synthesis to provide a μ synthesis methodology. The proposed μ synthesis procedure is based on D - K iterations and is demonstrated for the multimodel synthesis problem of a flexible beam.