A Hamiltonian-based solution to the mixed sensitivity optimization problem for stable pseudorational plants

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Abstract

This paper considers the mixed sensitivity optimization problem for a class of infinite-dimensional stable plants. This problem is reducible to a two- or one-block H∞ control problem with structured weighting functions. We first show that these weighting functions violate the genericity assumptions of existing Hamiltonian-based solutions such as the well-known Zhou-Khargonekar formula. Then, we derive a new closed form formula for the computation of the optimal performance level, when the underlying plant structure is specified by a pseudorational transfer function.

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Systems and Control Letters

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Elsevier

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Published Version (Please cite this version)

Language

English