Abstract
The Manousiouthakis parametrization of all decentralizing stabilizing controllers is employed in mathematically formulating the optimal decentralized controller synthesis problem. The performance problem is formulated in the l/sup 1/ and H/sup infinity / frameworks. In both cases, the resulting optimization problems are infinite dimensional and therefore not directly amenable to computations. It is shown that finite dimensional optimization problems that have value arbitrarily close to the infinite dimensional ones can be constructed. Based on this result algorithms that solve the l/sup 1/ and the H/sup infinity / decentralized performance problems are presented. >
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