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In this paper we consider the MIMO form of the optimal robust disturbance attenuation problem (ORDAP) posed by Zames and Owen. In particular, an operator theoretic solution is developed solving the problem exactly. The solution is given in terms of an operator defined on particular Banach space versions of matrix valued H2 spaces. The results obtained here generalize similar results obtained for SISO...
This paper describes a modification of a singular value decomposition (SVD) based controller reduction method recently proposed in [13]. Instead of formulating a ℋ2 norm characterizing generalized controllability Gramian inequality as in the previous case, the current method applies the bounded-real lemma to certify the closed loop performances in ℋ∞ norm. In addition, unlike the previous method,...
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