Stabilisation for a class of non-linear uncertain systems based on interval observers

Feedback stabilisation for a class of non-linear uncertain systems is devoted in this study. An interval observer is given to estimate admissible values of the state. A linear control law is designed such that the equilibrium point of the interval observer is asymptotically stable. By the linear control law, the uncertain system is asymptotically stable at the equilibrium point. An application of the proposed technique to linear parameter varying systems is developed. Finally, an ecological example is used to illustrate the effectiveness of the proposed design technique. This method allows us to stabilise a wider kind of non-linear uncertain systems.