Index of /publications/1997/svd/submitted_version

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Abstract.
Plant structure is utilized for the simplification of system analysis and controller synthesis. For plants where the directionality is independent of frequency, the singular value decomposition (SVD) is used to decouple the system into nominally independent sub-systems of lower dimension. In H₂- and H-infinity-optimal control, the controller synthesis can thereafter be performed for each of these subsystems independently, and the resulting overall SVD controller will be optimal (the same will hold for any norm which is invariant under unitary transformations). In H-infinity-optimal control the resulting controller is also super-optimal, as a controller of dimension n n will minimize the norm in n directions. For robust control in terms of the structured singular value mu, the SVD controller is optimal for a practically relevant class of block diagonal structures and uncertainty and performance weights.

Note: This version may be slightly different from the finally published journal paper.