Computing reachable sets for nonlinear systems in presence of bounded uncertainties

In this paper, a method for computing reachable sets of uncertain nonlinear continuous-time systems is proposed. The approach, based on Linear Parameter-Varying (LPV) inclusions of nonlinear systems, relies on a time-varying change of coordinates which ensures some monotony properties in the new base. A sufficient condition ensuring the non divergence of the enclosures is given. The efficiency of the proposed technique is illustrated through computer simulations and it is compared with simulations resulting from a method proposed in previous works relying on comparison theorems for differential inequalities using Müller´s existence theorem.