Abstract
The physical function model has been effectively used for model-based development (MBD) of automobile systems. This research demonstrates a novel application of this modeling method to the state estimation of nonlinear mechanical systems based on the Kalman filtering theory. The physical function model is a block diagram that describes each engineering field by a common rule, which focuses on the energy flow. Compared to traditional modeling approaches, this model has the flexibility to incorporate a wide range of nonlinear characteristics and the know-how accumulated by the manufacturers. Hence, it has a quite high affinity with the industrial world. The purpose of this research is to pioneer a new application of the physical function model beyond simulation analysis. In particular, physical function modeling offers a model of a system with multiple nonlinearities in the form of a time-varying linear state equation. By focusing on this feature, this study applies it to the Kalman filtering theory. The proposed approach is applicable to a wide range of nonlinearities, reduces the calculation load, and considers the background of the current MBD. Finally, verifications using an experimental apparatus, which simplifies an automotive drivetrain with backlash, demonstrate the effectiveness of the proposed approach.
Highlights
In recent years, model-based development (MBD), which builds models of products and advances the development process by simulation analysis, has become indispensable for efficiency and high performance in industry, especially automobile manufacturing
Modeling that satisfies the following requirements [1] is crucial for successful MBD, realizing these requirements is difficult by traditional approaches [2,3,4,5] such as CAD models and the finite element method: 1. A model that can describe and integrate the theories and laws by common principles and rules is necessary because mechanical systems such as automobiles are multi-sectoral complex systems that include many different engineering fields ranging from mechanics, electrical engineering, fluid mechanics, and thermal engineering
PHYSICAL FUNCTION MODEL This study introduces physical function modeling into the state estimation of mechanical systems
Summary
Model-based development (MBD), which builds models of products and advances the development process by simulation analysis, has become indispensable for efficiency and high performance in industry, especially automobile manufacturing. A model that can describe and integrate the theories and laws by common principles and rules is necessary because mechanical systems such as automobiles are multi-sectoral complex systems that include many different engineering fields ranging from mechanics, electrical engineering, fluid mechanics, and thermal engineering. This is difficult for traditional models because they employ different approaches to different engineering fields. Mechanical systems are affected by multiple nonlinear characteristics, and each manufacturer has accumulated its own knowledge and database about the nonlinearities through experiments and so on in the process of MBD. Since traditional modeling approaches are based on linear theory, they cannot handle characteristic diagrams, experimental formulas, and statistical data acquired in actual development sites
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