Adaptive control of nonlinear in parameters chaotic system via Lyapunov exponents placement

Moosa Ayati and Ali Khaki-Sedigh

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 1980-1986

Abstract: This paper proposes a new method for the adaptive control of nonlinear in parameters (NLP) chaotic systems. A method based on Lagrangian of a cost function is used to identify the parameters of the system. Estimation results are used to calculate the Lyapunov exponents adaptively. Finally, the Lyapunov exponents placement method is used to assign the desired Lyapunov exponents of the closed loop system.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:1980-1986

DOI: 10.1016/j.chaos.2008.08.017

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