Parameter identification of Bouc–Wen type hysteresis models using homotopy optimization

Manikantan, R.; Mondal, Tarutal Ghosh; Prakash, Shamsher; Vyasarayani, C. P.

doi:10.1080/15397734.2020.1793776

Cited by 8 publications

(5 citation statements)

References 31 publications

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“…The deformation displacement formula of each actuated mode can be presented in Table 1 in terms of the applied voltage U. PAs are widely applied in precision engineering due to the advantage of simplicity in structure, high resolution, fast response, and large drive force. However, the intrinsic hysteretic property of the PAs severely influences the positioning performance, which is sensitive to temperature and frequency (Al Janaideh et al, 2020;Liu et al, 2019;Manikantan et al, 2022). Due to such an external environment as in outer space, self-heating, heating of the nearby instrument, and other natural sources, the PA's temperature variation is inevitable, which affects the hysteretic effect (Ko¨hler and Rinderknecht, 2013;Liu et al, 2020;Sofla et al, 2012).…”

Section: Piezo-actuated Mechanismmentioning

confidence: 99%

“…According to the different application demands, various BW models were developed. Those BW models can be categorized into four varieties, that is, the classical BW model, the asymmetric BW model, the parameter-dependent BW model, and the Bouc-Wen-Baber-Noori (BWBN) model (Carboni et al, 2018;Manikantan et al, 2022) Furthermore, numerous control approaches of the mechanical systems based on the BW model have been studied over the past few years for satisfying practical requirements. In order to design the controller conveniently, this paper presents the differential equations and state-space methods of BW models and offers a rule of thumb for selecting a suitable BW model and control strategy.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Cai

Dong

Nagamune

2023

Journal of Intelligent Material Systems and Structures

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Hysteretic nonlinearity behavior ubiquitously occurs in mechanical systems, particularly in high-precision instruments, which severely degrades system output performance. Consequently, it is unavoidable to establish an accurate hysteretic model to describe the hysteretic characteristic of various mechanical systems and to compensate for the system error caused by hysteresis. The piezo-actuated mechanism is one of the most frequent mechanical systems that occurs hysteretic phenomenon, explained in detail in this survey. Bouc-Wen (BW) model has been popularly applied in modeling hysteretic attributes due to the outstanding advantage of simple structure and identification process. This paper presents the latest BW model applications and investigates different BW models, identification methods, and control strategies in light of various application demands based on the BW model systematically. In addition, this survey is meaningful in choosing an appropriate modeling approach and control means for system design according to the distinct requirements, and in providing future research direction.

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Section: Piezo-actuated Mechanismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Cai

Dong

Nagamune

2023

Journal of Intelligent Material Systems and Structures

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“…The above models are formalized in terms of low-dimensional systems of ordinary differential equations and are convenient tool for studying the dynamics of systems with hysteresis. Note, that these phenomenological models are multiparametric and the special problem is the problem of tuning (choice of parameters) [24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

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The Preisach model is a well-known model of hysteresis in the modern nonlinear science. This paper provides an overview of works that are focusing on the study of dynamical systems from various areas (physics, economics, biology), where the Preisach model plays a key role in the formalization of hysteresis dependencies. Here we describe the input-output relations of the classical Preisach operator, its basic properties, methods of constructing the output using the demagnetization function formalism, a generalization of the classical Preisach operator for the case of vector input-output relations. Various generalizations of the model are described here in relation to systems containing ferromagnetic and ferroelectric materials. The main attention we pay to experimental works, where the Preisach model has been used for analytic description of the experimentally observed results. Also, we describe a wide range of the technical applications of the Preisach model in such fields as energy storage devices, systems under piezoelectric effect, models of systems with long-term memory. The properties of the Preisach operator in terms of reaction to stochastic external impacts are described and a generalization of the model for the case of the stochastic threshold numbers of its elementary components is given.

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“…The adjusted model can successfully describe the stiffness degradation, strength degradation, excess pore water pressure, and asymmetric behavior of saturated sandstone and siltstone under high cyclic shear strain. Manikantan et al 25 proposed a non-random algorithm for identifying parameters of Bouc-Wen model, namely homotopy algorithm, in order to solve the shortcomings of random methods such as simulated annealing and genetic algorithm, which have high computational cost and are not easy to converge to the global minimum. Numerical results verified the advantages of homotopy method in terms of computation amount and convergence efficiency.…”

Section: Introductionmentioning

confidence: 99%

Modeling and parameter identification of asymmetric restoring force of reinforced concrete shear walls

Lina,

Senlin

2023

Advances in Mechanical Engineering

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Under the action of the seismic waves, reinforced concrete shear walls (RC shear walls) often exhibit hysteresis characteristics such as strength and stiffness degradation, and pinching effects due to factors such as slippage, cumulative damage of concrete, and non-uniform corrosion of steel bars or reinforcements. The hysteresis curve is asymmetric. In this paper, a nonlinear restoring force mechanical model, based on the Bouc-Wen-Baber-Noori (BWBN) model, that can describe the hysteresis characteristics of the RC shear wall is obtained by introducing the asymmetry factor. Particular attention is the solution of equation that the hysteretic energy ε at different loading stages in this model is regarded as parameters to be identified. The ordinary differential equations for parameter identification are derived into four segments. The improved particle swarm organization (IPSO) algorithm is used for parameters identification, which superiority is verified by comparison to the genetic algorithm. The accuracy of this model is verified by using RC shear wall finite element simulation data.

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Parameter identification of Bouc–Wen type hysteresis models using homotopy optimization

Cited by 8 publications

References 31 publications

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

The Preisach model of hysteresis: fundamentals and applications

Modeling and parameter identification of asymmetric restoring force of reinforced concrete shear walls

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