Mixed μ-synthesis via H₂-based loop-shaping iteration

The H₂-based loop-sharing iteration is applied to H_∞-synthesis and the complex μ-synthesis. This H₂-based mixed μ-synthesis approach is totally different from the H_∞-based mixed μ-synthesis approaches. A noncollocated satellite's attitude control design is formulated to the mixed μ-synthesis problem. The resulting controller with robust performance property from the μ criterion is obtained by a sequence of weighted H₂ optimization. Simulation shows that the time-domain performance specifications on settling time and overshoot are completely satisfied under real parameter variations. The successful design stresses the superior ability of the H₂-based loop-sharing method for mixed μ-synthesis.