A novel track control for Lorenz system with single state feedback

Richie Gao

Chaos, Solitons & Fractals, 2019, vol. 122, issue C, 236-244

Abstract: In this paper, by using single state feedback, a novel tracking control method is proposed for Lorenz systems. Under the proposed control law, the chaotic behaviours of the Lorenz system can be suppressed, and the system states can track the pre-set values. Distinguishable from the literature, the tracking references are not needed to satisfy certain constraints. Therefore, the proposed tracking control method is more applicable. For the Lorenz system subjected to parameter perturbations and noises, a genetic algorithm based robust track control design is addressed so that the track errors are robust against the perturbations/noises. The effectiveness of the proposed algorithm is well demonstrated by intensive simulated studies.

Keywords: Chaos; Genetic algorithm; Lorenz systems; Robustness; Track control (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:122:y:2019:i:c:p:236-244

DOI: 10.1016/j.chaos.2019.02.008

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