Study of a play-like operator

Ekanayake, Dinesh B.; Iyer, Ram

doi:10.1016/j.physb.2007.08.074

Cited by 11 publications

(6 citation statements)

References 4 publications

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“…2) Backlash-like model: based on the simplified Duhem model (7), Su et al [47] developed a Backlash-like model, which was also called as a SSSL model [76]. The Backlash-like model is described as (8) where and are constant, satisfying .…”

Section: B Hysteresis Modelingmentioning

confidence: 99%

Modeling and Control of Piezo-Actuated Nanopositioning Stages: A Survey

Zhu

et al. 2016

IEEE Trans. Automat. Sci. Eng.

506

216

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Piezo-actuated stages have become more and more promising in nanopositioning applications due to the excellent advantages of the fast response time, large mechanical force, and extremely fine resolution. Modeling and control are critical to achieve objectives for high-precision motion. However, piezo-actuated stages themselves suffer from the inherent drawbacks produced by the inherent creep and hysteresis nonlinearities and vibration caused by the lightly damped resonant dynamics, which make modeling and control of such systems challenging. To address these challenges, various techniques have been reported in the literature. This paper surveys and discusses the progresses of different modeling and control approaches for piezo-actuated nanopositioning stages and highlights new opportunities for the extended studies.Note to Practitioners-Piezo-actuated nanopositioning stages featuring fast response, large force, and fine resolution appear poised to play an increasingly important role in fields requiring micro/nano positioning. Such stages, however, exhibit complex piezoelectric behavior, which is often neglected, including: frequency response, nonlinear electric field dependence, creep, aging, and thermal behavior. The presence of such a behavior observed in the stages poses challenges in realizing precise micro/nanopositioning performance. This paper presents an overview of the piezo-actuated nanopositioning stages emphasizing the key role of modeling and control techniques, where high accuracy is important.

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Section: B Hysteresis Modelingmentioning

confidence: 99%

Modeling and Control of Piezo-Actuated Nanopositioning Stages: A Survey

Zhu

et al. 2016

IEEE Trans. Automat. Sci. Eng.

506

216

View full text Add to dashboard Cite

show abstract

“…Remark 1: It should be mentioned that Prandtl-Ishilinskii model is a weighted superposition of play operator, i.e. play operator is the hysteron (Krasnoskl'skill & Pokrovskill, 1983), and that backlash-like operator can be viewed as a play-like operator from a 1st order differential equation (Ekanayake & Iyer, 2008). Hence, the model (8) (10) www.intechopen.com Remark 2: From another point of an alternative one-parametric representation of Preisach operator (Krejci, 1996), the Prandtl-Ishilinskii-Like model falls into PKP-type operator (Ekanayake & Iyer, 2008), as Prandtl-Ishilinskii model into Preisach model.…”

Section: Prandtl-ishilinskii-like Modelmentioning

confidence: 99%

“…play operator is the hysteron (Krasnoskl'skill & Pokrovskill, 1983), and that backlash-like operator can be viewed as a play-like operator from a 1st order differential equation (Ekanayake & Iyer, 2008). Hence, the model (8) (10) www.intechopen.com Remark 2: From another point of an alternative one-parametric representation of Preisach operator (Krejci, 1996), the Prandtl-Ishilinskii-Like model falls into PKP-type operator (Ekanayake & Iyer, 2008), as Prandtl-Ishilinskii model into Preisach model. As a preliminary step, in the paper we explore the properties of this model and its potential to facilitate control when a system is preceded by this kind of hysteresis model, which will be demonstrated in the next section.…”

Section: Prandtl-ishilinskii-like Modelmentioning

confidence: 99%

“…Noticing the above challenges, we first construct a hysteresis model using play-like operators, in a similar way to L. Prandtl's construction of the Prandtl-Ishilinskii model using play operators (Brokate & Sprekels, 1996), and thus name it Prandtl-Ishilinskii-Like model. Because the play-like operator in (Ekanayake & Iyer, 2008) is a generalization of the backlash-like operator in (Su, et al, 2000), the Prandtl-Ishilinskii-Like model is a subclass of SSSL-PKP hysteresis model (Ekanayake & Iyer, 2008). Then, the development of two robust adaptive control schemes to mitigate the hysteresis avoids constructing a hysteresis inverse.…”

Section: Introductionmentioning

confidence: 99%

“…The main contributions in this chapter are highlighted as follows: i. A new hysteresis model is constructed, where the play-like operators developed in (Ekanayake & Iyer, 2008) play a role of building blocks. From a standpoint of categories of hysteresis models, this class of hysteresis models is a subclass of SSSL-PKP hysteresis models.…”

Section: Introductionmentioning

confidence: 99%

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