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Control of chaos in atomic force microscopes using delayed feedback based on entropy minimization
Authors:Hassan Salarieh  Aria Alasty
Institution:1. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal, Escuela Politécnica Superior, Universidad de Alicante, Spain;2. Departamento de Óptica, Campus de San Vicente, Alicante, Spain;1. Future University Hakodate, 116-2 Kameda Nakano-cho, Hakodate, Hokkaido 041-8655, Japan;2. PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan;3. Kanazawa University, Kakuma-machi, Kanazawa, Ishikawa 920-1192, Japan
Abstract:Active chaos control of a tapping mode atomic force microscope (AFM) model via delayed feedback method is presented. The feedback gain is obtained and adapted according to a minimum entropy (ME) algorithm. In this method, stabilizing an unstable fixed point of the system Poincare map is achieved by minimizing the entropy of points distribution on the Poincare section. Simulation results show the feasibility of the proposed method in applying the delayed feedback technique for chaos control of an AFM system.
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