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Showing 1 to 4 of 4 for “"Hankel norm"”.
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The design of low-order controllers using the Frobenius-Hankel norm
The problem of determining robust, low order controllers which achieve stability and disturbance attenuation is considered. This is an important problem for the control of very high order structures where a full order controller is inappropriate.
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Towards a behavioral approach to linear approximate modeling
… level, is addressed. The concept of the block Hankel matrix, constructed from the data measurements, is then introduced, and it is shown that the optimal Hankel-norm approximation theory provides the main tool for a partial solution of the above problem.
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Finite Horizon Optimality and Operator Splitting in Model Reduction of Large-Scale Dynamical System
… Algorithm (IRKA), Balanced Truncation (BT), and Hankel Norm Approximation. However, these methods generally target stable systems and the approximation is performed over an infinite time horizon. If we are interested in a finite horizon reduced model, we utilize techniques such as Time-limited …
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X-ray microscope performance enhancement through control architecture change
The goal of this thesis is to apply control algorithms to improve the performance of nanopositioning devices used on the beamline in Advanced Photon Source (APS) at Argonne National Laboratory (ANL). A prototype device, better known as the Early User Instrument (EUI) was the subject of this work. …