A new higher-order sliding mode control approach for coupled MIMO nonlinear uncertain systems

This article presents a new higher-order sliding mode control (HOSMC) technique for coupled uncertain nonlinear systems (MIMO). This new rth order sliding mode control relies primarily on the judicious choice of a Lyapunov function that depends on the sliding surfaces and their derivatives. It extends the generality of sliding mode control to higher orders by taking into account uncertainties and perturbations in the system parameters. This method has the advantage of being resistant to parametric uncertainties, perturbations and the coupling term, which is itself considered a perturbation. The performance and applicability of this strategy are first tested through a simulation of a three-tank interconnected system and then through a comparative study with the Twisting control method. The results demonstrate the robustness of the presented approach in the face of parametric uncertainties, system coupling and disturbances, as well as its applicability and efficiency while mitigating the chatter phenomenon.