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Parameters Identification of a Generalized Prandtl-Ishlinskii Model for a Micro-Positioning Stage Using Mutual Shape Memory Alloy Actuators

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Abstract

Implementing smart materials as an actuator in fabricating micro-positioning systems has become pervasive in recent years. However, the application of Shape Memory Alloy (SMA) smart materials is limited due to its complex nonlinear mechanical behavior, such as asymmetric hysteresis and saturation characteristics. One of the most potent experimental-based methods of modeling these nonlinearities is the Generalized Prandtl-Ishlinskii (GPI) model. Unlike similar methods such as the Preisach model, this model is analytically invertible. This study aims to develop a micro-positioning stage and identify an experimental-based model describing the system response. The model structure is composed of two cascade sub-models. In the first sub-model, which models the actuator thermal behavior, the parameters of a linear dynamic model are identified. This sub-model predicts the actuator temperature given the electrical current. The second sub-model estimates the phase transformation and consequently the actuator displacement as a function of temperature. The GPI structure has been used for constructing the Wiener sub-model. The experimental and numerical results showed that the proposed black box model can accurately describe the system behavior, although identifying a comprehensive model to adequately describe the SMA actuator is a great challenge.

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Data Availability

The datasets analyzed during the current study are available from the corresponding author on reasonable request.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

    H. Rahbari & M. Dardel

  2. Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

    A. Fathi

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Contributions

Hossein Rahbari developed the mathematical modeling, conducted the experiments and analyzed the empirical results; Alireza Fathi planned the scheme and initiated the project; Morteza Dardel suggested the experiments and examined the theory validation. The manuscript was written through the contribution of all authors. The first draft of the manuscript was written by Hossein Rahbari and all authors discussed the results, reviewed, and approved the final version of the manuscript.

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Correspondence to A. Fathi.

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Rahbari, H., Fathi, A. & Dardel, M. Parameters Identification of a Generalized Prandtl-Ishlinskii Model for a Micro-Positioning Stage Using Mutual Shape Memory Alloy Actuators. Exp Tech (2023). https://doi.org/10.1007/s40799-023-00680-y

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