Harmonic balance-based approach for optimal time delay to control unstable periodic orbits of chaotic systems

Chen, Y. M.; Liu, Q. X.; Liu, J. K.

doi:10.1007/s10409-020-00966-z

Cited by 6 publications

(1 citation statement)

References 36 publications

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“…Due to the advantages of large deformation, high flexibility, and short response time, dielectric elastomers are gradually used in the control components of the actuators (Godaba et al, 2016; Gupta et al, 2019; Lau et al, 2017; Rizzello et al, 2016a; Zhang et al, 2018). Moreover, because of the influence of nonlinear dynamic response and viscoelastic dissipation of dielectric elastomers in engineering applications, it is important to accurately control the dynamic response of materials (Chen et al, 2020; Jones and Sarban, 2016; O’Halloran et al, 2008; Tian et al, 2018; Wang et al, 2020a). The soft wall-climbing robot which is controlled by a combination of dielectric elastomer artificial muscles and electrostatic feet was developed by Gu et al (2018).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic behaviors and PID control of viscoelastic dielectric elastomer balloons

Xing

Yong

2021

Journal of Intelligent Material Systems and Structures

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As a type of intelligent electroactive polymer, dielectric elastomer (DE) exhibits viscoelastic properties. It’s worth pointing out that the relaxation time has great significance for studying the mechanical behavior of viscoelastic polymer. In this paper, a generalized Maxwell model is used to describe the viscoelastic property of dielectric elastomer balloon. Meanwhile, a theoretical model with multiple relaxation times is used and the natural frequency of small amplitude oscillation is derived. Subsequently, the model is validated by comparing with experimental results. The model with double relaxation times can describe the deformation of the dielectric elastomer balloon effectively. Then the effect of relaxation time and shear modulus on the dynamic response of DE balloon is studied. Furthermore, the dielectric elastomer balloons in practical application exhibit the strong nonlinearity and the viscoelastic dissipation. Therefore, it is important to precisely control the dynamic response. The proportional-integral-differential (PID) controller in the form of nonlinear combination is adopted to control the above nonlinear dynamic systems actively. The results indicate that it is feasible to achieve desired control effect.

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