Kashima, Kenji, Özbay, Hitay, and Yamamoto, Yutaka
Subjects
*MATHEMATICAL optimization, *MATHEMATICAL analysis, *MATHEMATICS, *MAXIMA & minima, *OPERATIONS research
Abstract
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 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. [Copyright &y& Elsevier]