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Optimal decentralized control design with disturbance decoupling. (English) Zbl 1265.93110
Summary: In this paper we present an input-output point of view for the problem of closed loop norm minimization of stable plants when a decentralized structure and a disturbance decoupling property are imposed on the controller. We show that this problem is convex and present approaches to its solution in the optimal \(\ell _1\) sense in the nontrivial case which is when the block off-diagonal terms of the plant have more columns than rows.
93B51 Design techniques (robust design, computer-aided design, etc.)
93C73 Perturbations in control/observation systems
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