A novel magnetic shape memory alloy (MSMA) actuator is proposed in this paper, which has fast response speed and large deformation, and its nonlinear dynamic response and control are studied. A new differential term is developed to explain the MSMA’s stress-strain curves. The dynamic model of the MSMA actuator subjected to harmonic magnetic field and random disturbance is established, and its nonlinear dynamic characteristics are obtained. Finally, the stochastic dynamic programming control is introduced to enhance the drive accuracy. The results show that the perturbation plays an important role in the system’s dynamic response; dynamic programming control can improve the actuator’s accuracy in strong stochastic perturbation. These results will be helpful for the optimal design and development of MSMA actuators.

中文翻译：

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MSMA作动器谐波磁场和随机激励的非线性动力学特性及最优控制。

提出了一种响应速度快，变形大的新型磁形状记忆合金致动器，并对其非线性动态响应和控制进行了研究。开发了一个新的微分项来解释MSMA的应力-应变曲线。建立了具有谐波磁场和随机扰动的MSMA执行器的动力学模型，得到了其非线性动力学特性。最后，引入随机动态编程控制以提高驱动精度。结果表明，扰动在系统的动态响应中起着重要作用。动态编程控制可以提高执行器在强烈随机扰动下的精度。这些结果将有助于MSMA执行器的优化设计和开发。