Non-fragile finite-time control for continuous-time nonlinear systems based on T-S fuzzy model

In this paper, the non-fragile finite-time control problem of continuous-time nonlinear systems is considered based on T-S fuzzy model. The definition on finite-time stability (FTS) for continuous-time nonlinear systems is provided and the state feedback controller is also designed. Two types of uncertainties which perturb the gains of control are considered. Sufficient conditions are derived in terms of linear matrix inequities (LMIs), which guarantee FTS for the whole closed-loop controlled system. A numerical example shows the validity of the proposed scheme.