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LMI optimization approach to stabilization of Genesio-Tesi chaotic system via dynamic controller. (English) Zbl 1245.93115
Summary: A design method for a new controller to control the Genesio-Tesi chaotic systems is proposed. In this work, a dynamic output 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.
MSC:
93D15Stabilization of systems by feedback
34C28Complex behavior, chaotic systems (ODE)
37D45Strange attractors, chaotic dynamics
37N35Dynamical systems in control
34H10Chaos control (ODE)
Software:
LMI toolbox