This paper presents the analysis method of quasi-Linear Parameter Varying (LPV) models, comparing the ellipsoid set which contains the reachable set of a nonlinear system to define which quasi-LPV model is less conservative to represent the nonlinear dynamics. Three quasi-LPV models are constructed from a nonlinear model using three different methods, to facilitate synthesis of an LPV controller for the nonlinear system. The comparison results of closed-loop system performance with synthesized LPV controllers correspond to the analysis results of quasi-LPV models.

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