Browsing by Subject "Infinite-dimensional systems"

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    A Hamiltonian-based solution to the mixed sensitivity optimization problem for stable pseudorational plants
    (Elsevier, 2005-11) Kashima, K.; Özbay, Hitay; Yamamoto, Y.
    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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    Parameterization of suboptimal solutions of the Nehari problem for infinite-dimensional systems
    (Institute of Electrical and Electronics Engineers, 2007) Kashima, K.; Yamamoto, Y.; Özbay, Hitay
    The Nehari problem plays an important role in H∞ control theory. It is well known that H∞ control problem can be reduced to solving this problem. This note gives a parameterization of all suboptimal solutions of the Nehari problem for a class of infinite-dimensional systems. Many earlier solutions of this problem are seen to be special cases of this new parameterization. It is also shown that for finite impulse response systems this parameterization takes a particularly simple form.