Browsing by Subject "Noisy measurements"

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    H∞ filter design for vehicle tracking under delayed and noisy measurements
    (IEEE, 2007-06) Ezercan, Sami; Özbay, Hitay
    In many intelligent vehicles applications tracking plays an important role. This paper considers tracking of a vehicle under delayed and noisy measurements. For this purpose we design an H∞ optimal filter for linear systems with time delays in the state and output variables. By using the duality between filtering and control, the problem at hand is transformed to a robust controller design for systems with time delays. The skew Toeplitz method developed earlier for the robust control of infinite dimensional systems is used to solve the H∞ filtering problem. The results are illustrated with simulations and effects of the time delay on the tracking performance are demonstrated. ©2007 IEEE.
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    Measurement strategies for input estimation in linear systems
    (IEEE, 2007) Özçelikkale, Ayça; Özaktaş, Haldun M.; Arıkan, Erdal
    In this work, we present a mathematical approach for some of the measurement problems arising in optics, which is also applicable to other contexts. We see the measurement problem as the problem of determining the best measurement strategy to estimate an unknown stochastic process by noisy measurements. The number of measurement devices, their positions and qualities characterize the measurement strategies. The model we use also includes a cost function based on resolving powers of sensors. We are unable to offer a solution to this problem in such generality; but for the metrical problem in which the number and locations of the measurement devices are fixed, we present an efficient numerical approach.