Chaos control of the micro-electro-mechanical resonator by using adaptive dynamic surface technology with extended state observer

Journal Article · Fri Apr 15 04:00:00 EDT 2016 · AIP Advances

DOI:https://doi.org/10.1063/1.4946785· OSTI ID:22611652

Luo, Shaohua ^[1]; Sun, Quanping; Cheng, Wei ^[1]

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1. The Jiangsu Key Laboratory of Advanced Manufacturing Technology, Huaiyin Institute of Technology, Huai’an 223003 (China)

This paper addresses chaos control of the micro-electro- mechanical resonator by using adaptive dynamic surface technology with extended state observer. To reveal the mechanism of the micro- electro-mechanical resonator, the phase diagrams and corresponding time histories are given to research the nonlinear dynamics and chaotic behavior, and Homoclinic and heteroclinic chaos which relate closely with the appearance of chaos are presented based on the potential function. To eliminate the effect of chaos, an adaptive dynamic surface control scheme with extended state observer is designed to convert random motion into regular motion without precise system model parameters and measured variables. Putting tracking differentiator into chaos controller solves the ‘explosion of complexity’ of backstepping and poor precision of the first-order filters. Meanwhile, to obtain high performance, a neural network with adaptive law is employed to approximate unknown nonlinear function in the process of controller design. The boundedness of all the signals of the closed-loop system is proved in theoretical analysis. Finally, numerical simulations are executed and extensive results illustrate effectiveness and robustness of the proposed scheme.

• OSTI ID: 22611652
• Journal Information: AIP Advances, Journal Name: AIP Advances Journal Issue: 4 Vol. 6; ISSN AAIDBI; ISSN 2158-3226
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
APPROXIMATIONS
CHAOS THEORY
COMPUTERIZED SIMULATION
CONTROL
EXPLOSIONS
FILTERS
NEURAL NETWORKS
NONLINEAR PROBLEMS
PERFORMANCE
PHASE DIAGRAMS
RANDOMNESS
RESONATORS
SURFACES