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Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics

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3 Author(s)
Fan, M.K.H. ; Maryland Univ., College Park, MD, USA ; Tits, A.L. ; Doyle, J.C.

Continuing the development of the structured singular value approach to robust control design, the authors investigate the problem of computing μ in the case of mixed real parametric and complex uncertainty. The problem is shown to be equivalent to a smooth constrained finite-dimensional optimization problem. In view of the fact that the functional to be maximized may have several local extrema, an upper bound on μ whose computation is numerically tractable is established; this leads to a sufficient condition of robust stability and performance. A historical perspective on the development of the μ theory is included

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Automatic Control, IEEE Transactions on  (Volume:36 ,  Issue: 1 )