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Zbl 1245.93115
Park, Ju H.; Kwon, O.M.; Lee, S.M.
LMI optimization approach to stabilization of Genesio-Tesi chaotic system via dynamic controller. (English)
[J] Appl. Math. Comput. 196, No. 1, 200-206 (2008). ISSN 0096-3003

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 2000:: *93D15 Stabilization of systems by feedback
34C28 Other types of "recurrent" solutions of ODE
37D45 Strange attractors, chaotic dynamics
37N35 Dynamical systems in control

Keywords: LMI optimization; Genesio-Tesi system; chaos; stabilization; dynamic controller

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Zentralblatt MATH Berlin [Germany]