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Robust control under parametric uncertainty via primal-dual convex analysis

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2 Author(s)
Ghulchak, A. ; Dept. of Autom. Control, Lund Inst. of Technol., Sweden ; Rantzer, A.

A numerical method is proposed for optimal robust control synthesis. The method applies to the case when the coefficients of the characteristic polynomial depend linearly on the uncertain parameters. A primal/dual pair of infinite-dimensional convex problems is solved by successive finite-dimensional approximations. The primal/dual pair has no duality gap, and both upper and lower bounds produced by the approximations converge monotonically to the optimal value

Published in:

Automatic Control, IEEE Transactions on  (Volume:47 ,  Issue: 4 )