Development of the rate-dependent Prandtl-Ishlinskii model for smart actuators
Development of the rate-dependent Prandtl-Ishlinskii model for smart actuators
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DOI：
10.1088/0964-1726/17/3/035026
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发表时间：
2008-06-01
影响因子：
4.1
通讯作者：
Rakheja, Subash
中科院分区：
文献类型：
--
作者：
Al Janaideh, Mohammad;Su, Chun-Yi;Rakheja, Subash
提出了一种广义Prandtl-Ishlinskii模型来描述智能执行器的率相关迟滞行为。一个速率相关的播放运营商制定和集成的普朗特-Ishlinskii模型连同一个动态密度函数来预测滞后特性作为输入的变化率的函数。进一步提出了松弛函数来松弛Prandtl-Ishlinskii模型输出的一致性。系统地提供了所提出的速率相关算子的基本性质，这符合从所报道的实验数据建立的滞后输出的输入的时间速率的重要影响。进行了额外的实验室实验，以表征在1-500 Hz频率范围内的激励下的PZT致动器的速率相关的滞后行为。实测数据验证了该模型的有效性。比较表明，建议的速率相关的运营商和密度函数允许预测的速率相关的滞后动态变化的输入下。从不同的动态输入下获得的仿真结果，它表明，该模型可以预测主要和次要的磁滞回线，并滞后随频率的增加显着增加。
A generalized Prandtl-Ishlinskii model is proposed for characterizing the rate-dependent hysteresis behavior of smart actuators. A rate-dependent play operator is formulated and integrated to the Prandtl-Ishlinskii model together with a dynamic density function to predict hysteresis properties as a function of the rate of change of the input. Relaxation functions are further proposed to relax the congruency in the output of the Prandtl-Ishlinskii model. The fundamental properties of the proposed rate-dependent operator are systematically provided, which conform with important effects of the time rate of input on the hysteresis output established from the reported experimental data. Additional laboratory experiments were performed to characterize the rate-dependent hysteresis behavior of a PZT actuator under excitation in the 1-500 Hz frequency range. The measured data were used to demonstrate the validity of the proposed generalized model. The comparisons suggest that the proposed rate-dependent operator and density functions allow for prediction of the rate-dependent hysteresis under dynamically varying inputs. From the simulation results attained under varied dynamic inputs, it is shown that the proposed model can predict both major and minor hysteresis loops, and that the hysteresis increases significantly with increasing frequency.