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首页> 外文会议>Vienna International Conference on Mathematical Modelling >Passivity Analysis and Port-Hamiltonian Formulation of the Muller-Achenbach-Seelecke Model for Shape Memory Alloys: the Isothermal Case
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Passivity Analysis and Port-Hamiltonian Formulation of the Muller-Achenbach-Seelecke Model for Shape Memory Alloys: the Isothermal Case

机译：Muller-Achenbach-Seelecke模型的定性分析和汉密尔顿的制定形状记忆合金：等温案例

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摘要

In this work we investigate passivity of the Muller-Achenbach-Seelecke Model for shape memory alloy (SMA) wires. Such a model represents an effective control-oriented tool to describe the hysteretic dynamics of SMAs, but its highly complex structure makes it difficult to analyze fundamental properties such as energetic consistency, i.e., passivity. Focusing on the isothermal case, we propose a suitable storage function which permits to analyze passivity of the SMA model and to quantify energy dissipation due to hysteresis. In addition, a port-Hamiltonian representation of the resulting passive model is developed. This result permits to quantitatively assess energetic performance of SMAs when operating, e.g., as passive non-viscous dampers, and opens up the possibility of using powerful tools from port-Hamiltonian theory to analyze and design control systems for SMA actuators.
机译：在这项工作中，我们调查Muller-Achenbach-Seelecke模型的毛泽东 - Achenbach-Seelecke模型的钝化性。这种模型代表了一种有效的控制导向工具，用于描述SMA的滞后动态，但其高度复杂的结构使得难以分析基本属性，例如能量一致性，即被动性。专注于等温案例，我们提出了合适的存储功能，这允许分析SMA模型的杂机，并通过滞后来量化能量耗散。此外，开发了由此产生的被动模型的端口Hamiltonian表示。该结果允许在操作时定量地评估SMA的精力性能，例如是被动非粘性阻尼器，并开辟了从端口Hamiltonian理论中使用强大工具的可能性，以分析和设计SMA执行器的控制系统。

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