Browsing by Subject "Skew-Toeplitz approach"

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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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    Remarks on H ∞ controller design for SISO plants with time delays
    (2006-07) Gümüşsoy, Suat; Özbay, Hitay
    The skew Toeplitz approach is one of the well developed methods to design H ∞ controllers for infinite dimensional systems. In order to be able to use this method the plant needs to be factorized in some special manner. This paper investigates the largest class of SISO time delay systems for which the special factorizations required by the skew Toeplitz approach can be done. Reliable implementation of the optimal controller is also discussed. It is shown that the finite impulse response (FIR) block structure appears in these controllers not only for plants with I/O delays, but also for general time-delay plants.