Disturbance observer-based controller for inverted pendulum with uncertainties: Linear matrix inequality approach

<span lang="EN-US">A new approach based on linear matrix inequality (LMI) technique for stabilizing the inverted pendulum is developed in this article. The unknown states are estimated as well system stabilized simultaneously by employing observer-based controller. In addition, impacts of uncertainties taken into consideration paper. Unlike previous studies, study unnecessary to satisfy bounded constraints. These will be converted input disturbances, and then a disturbance controller synthesized estimate information states, eliminate completely effects uncertainties, stabilize system. With support lyapunov methodology, conditions constructing observer under framework inequalities (LMIs) derived main theorems. Finally, simulations with without exhibited show merit effectiveness proposed methods.</span>