For applying linear parameter varying (LPV) control synthesis and analysis to a nonlinear system, it is required that a nonlinear system be represented in the form of an LPV model. In this paper, a new representation method is developed to construct an LPV model from a nonlinear mathematical model without the restriction that an operating point must be in the neighborhood of equilibrium points. An LPV model constructed by the new method preserves local stabilities of the original nonlinear system at "frozen" scheduling parameters and also represents the original nonlinear dynamics of a system over a non-trim region. An LPV model of the motion of FASER (Free-flying Aircraft for Subscale Experimental Research) is constructed by the new method. Shin, Jong-Yeob Langley Research Center NASA/CR-2007-213926, NIA Report No. 2005-08 NCC1-02043; WBS 23-079-30-12 LINEAR PARAMETER-VARYING CONTROL; STABILITY; NONLINEAR SYSTEMS; AIRCRAFT MODELS; SCHEDULING; MATHEMATICAL MODELS
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