Chaos control via Mathieu-Van der Pol system and Linear Optimal Control design with a non-ideal excitation and parametric uncertainties

Joselma Pinheiro Gonçalves Vicente ^[1] ; Fábio Roberto Chavarette ^[1] ; Luiz Gustavo Pereira Roefero ^[1]
1. [1] Univ. Estadual Paulista
Localización: Métodos numéricos para cálculo y diseño en ingeniería: Revista internacional, ISSN 0213-1315, Vol. 35, Nº 3, 2019, págs. 1-10
Idioma: inglés
DOI: 10.23967/j.rimni.2019.08.001
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Resumen
- 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.