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Analysis of linear parameter varying system models based on reachable sets

Presents the analysis method of quasi-LPV models, comparing the ellipsoid set which contains the reachable set of a nonlinear system to determine which quasi-LPV model is less conservative to present the nonlinear dynamics. Quasi-LPV models are constructed from a nonlinear model using different methods, to facilitate synthesis of an LPV controller for the nonlinear system. The comparison results of the closed-loop system performance with the synthesized LPV controllers correspond to the analysis results of quasi-LPV models.