超磁致伸缩作动器的率相关Hammerstein模型与<i>H</i><sub>∞</sub>鲁棒跟踪控制

郭咏新; 张臻; 毛剑琴; 周克敏

doi:10.3724/SP.J.1004.2014.00197

超磁致伸缩作动器的率相关Hammerstein模型与H_∞鲁棒跟踪控制

doi: 10.3724/SP.J.1004.2014.00197

1.
北京航空航天大学自动化科学与电气工程学院北京 100191, 中国;
2.
西南交通大学电气工程学院成都 610031, 中国;
3.
路易斯安那州立大学电气工程与计算机科学系巴吞鲁日 70803, 美国

基金项目:

国家自然科学基金重点项目（91016006，91116002）;中央高校基本科研业务费专项资金（30420111109，30420120305，SWJTU11ZT06）;新能源电力系统国家重点实验室开放课题（LAPS13019）;高铁联合基金（U1134205）资助

详细信息

作者简介:
张臻博士，北京航空航天大学自动化科学与电气工程学院讲师.主要研究方向为智能结构的控制与应用，迟滞非线性系统建模与控制.E-mail：zhangzhen@buaa.edu.cn

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出版历程
- 收稿日期: 2012-12-17
- 修回日期: 2013-03-27
- 刊出日期: 2014-02-20

Rate-dependent Hammerstein Model and H_∞ Robust Tracking Control of Giant Magnetostrictive Actuators

1.
School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China;
2.
School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China;
3.
School of Electrical Engineering and Computer Science, Louisiana State University, Baton Rouge 70803, USA

Funds:

Supported by National Natural Science Foundation of China (91016006, 91116002) and the Fundamental Research Funds for the Central High Education Institutions (30420111109, 30420120 305, SWJTU11ZT06), State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources (LAPS130 19), and High Speed Rail Joint Fund (U1134205)

摘要

摘要: 利用Hammerstein模型对超磁致伸缩作动器（Giant magnetostrictive actuators，GMA）的率相关迟滞非线性进行建模，分别以改进的 Prandtl-Ishlinskii（Modified Prandtl-Ishlinskii）模型和外因输入自回归模型（Autoregressive model with exogenous input，ARX）代表Hammerstein模型中的静态非线性部分和线性动态部分，并给出了模型的辨识方法. 此模型能在1～100Hz频率范围内较好地描述GMA的率相关迟滞非线性. 提出了带有逆补偿器和H∞鲁棒控制器的二自由度跟踪控制策略，实时跟踪控制实验结果证明了所提策略的有效性.
- 磁致伸缩作动器 /
- 率相关迟滞非线性 /
- Hammerstein模型 /
- MPI模型 /
- H∞鲁棒控制
Abstract: A Hammerstein model is proposed to model the rate-dependent hysteresis nonlinearity of giant magnetostrictive actuators (GMA). A modified Prandtl-Ishlinskii (MPI) model and an autoregressive model with exogenous input (ARX) are used to represent the static nonlinear part and the linear dynamic part of the Hammerstein model, respectively. A model identification method is also given. The proposed model can describe the rate-dependent hysteresis of GMA from 1Hz to 100Hz well. A two DOF control system with an inverse compensator and an H∞ robust controller is designed for tracking control. Real-time trajectory tracking control results show that the proposed strategy is effective.
- Giant magnetostrictive actuators (GMA) /
- rate-dependent hysteresis nonlinearity /
- Hammerstein model /
- modified Prandtl-Ishlinskii (MPI) model /
- H∞ robust control

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参考文献(31)

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超磁致伸缩作动器的率相关Hammerstein模型与H_∞鲁棒跟踪控制

doi: 10.3724/SP.J.1004.2014.00197

作者简介:
张臻博士，北京航空航天大学自动化科学与电气工程学院讲师.主要研究方向为智能结构的控制与应用，迟滞非线性系统建模与控制.E-mail：zhangzhen@buaa.edu.cn

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Rate-dependent Hammerstein Model and H_∞ Robust Tracking Control of Giant Magnetostrictive Actuators

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留言板

超磁致伸缩作动器的率相关Hammerstein模型与H∞鲁棒跟踪控制

doi: 10.3724/SP.J.1004.2014.00197

作者简介: 张臻 博士，北京航空航天大学自动化科学与电气工程学院讲师.主要研究方向为智能结构的控制与应用，迟滞非线性系统建模与控制.E-mail：zhangzhen@buaa.edu.cn

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出版历程

Rate-dependent Hammerstein Model and H∞ Robust Tracking Control of Giant Magnetostrictive Actuators

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出版历程

目录

超磁致伸缩作动器的率相关Hammerstein模型与H_∞鲁棒跟踪控制

作者简介:
张臻博士，北京航空航天大学自动化科学与电气工程学院讲师.主要研究方向为智能结构的控制与应用，迟滞非线性系统建模与控制.E-mail：zhangzhen@buaa.edu.cn

Rate-dependent Hammerstein Model and H_∞ Robust Tracking Control of Giant Magnetostrictive Actuators