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Block decoupling with stability by unity output feedback – Solution and performance limitations. (English) Zbl 0771.93072
Summary: The block decoupling problem with stability using unity output feedback for possibly non-square plants of full row rank is considered. A necessary and sufficient condition for solvability of this problem is given, and the set of all compensators solving the problem is characterized. Previous results on the diagonal decoupling problem for square plants are thus generalized. Moreover, a class of plants is specified where decoupling does not impose additional performance limitations, as compared with a synthesis without decoupling. Quite general performance measures insolving the sensitivity function and the complementary sensitivity function are considered, including weighted \(H_ \infty\)- and \(H_ 2\)-norms.

MSC:
93D15 Stabilization of systems by feedback
93C35 Multivariable systems, multidimensional control systems
93C05 Linear systems in control theory
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