Fixed Structure Computation of the Structured Singular Value

This paper addresses the robest stability and performance analysis problem using a fixed structure approach of the structured singular value. Specifically, using recent results on H
₂
/ H
_∞
, a Riccati equation approach is formulated for complex-μ with constant D-scales along with an H
₂
performance bound. An optimization procedure is proposed in computing optimal D-scales with respect to the H
₂
performance bound. Finally, it is shown that this new approach compares favorably to the standard structured singular value involving frequency-dependent D-scales.