Time-varying optimal disturbance rejection in presence of plant uncertainty
AuthorDjouadi, S. M.
Charalambous, Charalambos D.
PublisherInstitute of Electrical and Electronics Engineers Inc.
Source2007 European Control Conference, ECC 2007
2007 European Control Conference, ECC 2007
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The optimal robust disturbance rejection problem plays an important role in feedback control theory. Here its time-varying version is solved explicitly in terms of duality and operator theory. In particular, the optimum is shown to satisfy a time-varying all-pass property. Moreover, optimal performance is given in terms of the norm of a bilinear form. The latter depends on a lower triangular projection and a multiplication operator defined on special versions of spaces of compact operators. © 2007 EUCA.