LMI optimization approach to stabilization of Genesio–Tesi chaotic system via dynamic controller

In this paper, a design method for a new controller to control the Genesio–Tesi chaotic systems is proposed. In this work, a dynamic outputs feedback controller for the system is developed for the first time. For stability analysis, a well-known Lyapunov stability theorem combining with LMI (linear matrix inequality) optimization approach is utilized. A numerical simulation is presented to show the usefulness of the proposed control scheme.