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    Identification of MIMO LPV models based on interpolation

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    This paper presents SMILE (State-space Model Interpolation of Local Estimates), a new technique to estimate linear parameter varying state-space models for multiple-input multiple-output systems whose dynamics depends on a single varying parameter, called the scheduling parameter. The SMILE technique is based on the interpolation of linear time-invariant models that are valid for fixed operating conditions of the system, that is, for constant values of the scheduling parameters. The methodology yields affine LPV models that are numerically well-conditioned and therefore suitable for LPV control synthesis procedures. The underlying interpolation technique is formulated as a nonlinear least-squares optimization problem that can be efficiently solved by standard solvers. Application of the proposed methodology to a vibroacoustic setup, whose dynamics are highly sensitive to the ambient temperature, clearly demonstrates the potential of the SMILE technique. © 2008 by the Katholieke Universiteit Leuven Department of Mechanical Engineering All rights reserved.sponsorship: The author J. F. Camino is supported through grants from CAPES, CNPq and FAPESP. The authors J. De Caigny and J. Swevers are supported through the following funding: project G.0446.06 of the Research Foundation Flanders (FWO Vlaanderen), K.U.Leuven BOF EF/05/006 Center-of-Excellence Optimization in Engineering and the Belgian Programme on Interuniversity Attraction Poles, initiated by the Belgian Federal Science Policy Office. The scientific responsibility rests with its author(s). (CAPES, CNPq, FAPESP, Research Foundation Flanders (FWO Vlaanderen)|G.0446.06, K.U.Leuven|BOF EF/05/006, Center-of-Excellence Optimization in Engineering, Belgian Programme on Interuniversity Attraction Poles, Belgian Federal Science Policy Office)status: Publishe
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