On an optimal control applied in MEMS oscillator with chaotic behavior including fractional order
type: Item
instance of: scholarly article
title: On an optimal control applied in MEMS oscillator with chaotic behavior including fractional order
zbMATH Open document ID: 1405.37039
DOI: 10.1155/2018/5817597
author: Angelo Marcelo Tusset
author: Frederic Conrad Janzen
author: Rodrigo Tumolin Rocha
author: J. M. Balthazar
published in: Complexity
publication date: 2018-12-18T00:00:00Z
review text: Summary: The dynamical analysis and control of a nonlinear MEMS resonator system is considered. Phase diagram, power spectral density (FFT), bifurcation diagram, and the 0-1 test were applied to analyze the influence of the nonlinear stiffness term related to the dynamics of the system. In addition, the dynamical behavior of the system is considered in fractional order. Numerical results showed that the nonlinear stiffness parameter and the order of the fractional order were significant, indicating that the response can be either a chaotic or periodic behavior. In order to bring the system from a chaotic state to a periodic orbit, the optimal linear feedback control (OLFC) is considered. The robustness of the proposed control is tested by a sensitivity analysis to parametric uncertainties.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 6995130
describes a project that uses: Fractional Order Chaotic Systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5817597
OpenAlex ID: W2891217563
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Wikidata QID: Q129287873
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description: scientific article; zbMATH DE number 6995130