Chaos control via Mathieu-Van der Pol system and Linear Optimal Control design with a non-ideal excitation and parametric uncertainties
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Undergraduate course
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Scipedia S L
Scipedia, S.L.
Scipedia, S.L.
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Article
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Acesso aberto
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Abstract
In this work, a non-ideal system based on the Mathieu-Van der Pol System is modeled considering its parameters as uncertain, which makes it closer to reality. Numerical simulations are presented demonstrating that the system has a chaotic behavior with three positive Lyapunov exponents. Given such unstable and unpredictable behavior, the linear optimal control design is proposed to reduce the chaotic movement of this system to a fixed point. The simulation results show that the identification by Linear Optimal Control is very effective.
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English
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Revista Internacional De Metodos Numericos Para Calculo Y Diseno En Ingenieria. Barcelona: Scipedia S L, v. 35, n. 3, 10 p., 2019.
