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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 Linear Matrix Inequality (LMI) optimization approach is utilized. A numerical simulation is presented to show the usefulness of the proposed control scheme.

MSC:

93D15 Stabilization of systems by feedback
34C28 Complex behavior and chaotic systems of ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N35 Dynamical systems in control
34H10 Chaos control for problems involving ordinary differential equations

Software:

LMI toolbox
PDFBibTeX XMLCite
Full Text: DOI

References:

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