Optimum Design of a Smart Composite Beam by making Use of the Latest Control Theory

利用最新控制理论的智能组合梁优化设计

• 批准号: 13650107
• 负责人: TAKAWA Takeshi
• 金额: $ 1.28万
• 依托单位: Setsunan University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13650107/
• 关键词: ERF; Piezoceramics; Smart Composite Beam; Vibration Control; Nonlinearity; Fuzzy Model; LMI; BIBO; リアプノフ安定理論; 線形行列不等式

The application of the latest control theory to vibration control of a smart composite beam was investigated. The results obtained are summarized as follows ;(1) A carbon fiber reinforced plastics (CFRP) beam including interleaved electro-rheological fluids (ERF) and bonded piezoceramics was prepared and oscillated under the forced sinusoidal external excitations. Fuzzy model of controlled element containing actuators with intensive nonlinearity was formed by using a hybrid neuro-fuzzy system combining fuzzy deduction with learning function of neural network.(2) In this case, it is necessary to design fuzzy controller for vibration suppression of the composite beam by solving the inequalities satisfying the stability conditions derived by the use of Lyapunov's stability theory. But these inequalities aren't linear in the strict sense and it is very tedious to solve them.(3) By transforming these inequalities to LMI (linear matrix inequalities), it became very easy to design controller. Moreover BIBO (bounded input bounded output) stability could be confirmed.

研究了最新控制理论在智能复合材料梁振动控制中的应用。研究结果如下：（1）制备了含有电流变液和粘结压电陶瓷的碳纤维增强塑料（CFRP）梁，并在强迫正弦外激励下进行振动。利用模糊推理与神经网络的学习功能相结合的混合神经模糊系统，建立了含有强非线性执行器的被控对象的模糊模型。(2)在这种情况下，它是必要的设计模糊控制器的振动抑制的组合梁通过求解不等式满足稳定性条件，使用李雅普诺夫稳定性理论。但这些不等式不是严格意义上的线性不等式，求解起来非常繁琐。(3)通过将这些不等式转化为线性矩阵不等式，使得控制器的设计变得非常容易。此外，还可以确认BIBO（有界输入有界输出）稳定性。

项目成果

T.Takawa: "Formation of Fuzzy Model of Vibration of a Smart CFRP Composite Beam and Controller Design based on the Model"Proceedings of Workshop on Smart Materials and Structures in Osaka City University. 21-26 (2002)

T.Takawa：“智能 CFRP 复合梁振动模糊模型的形成以及基于该模型的控制器设计”大阪市立大学智能材料与结构研讨会论文集。

T.Takawa: "Fuzzy Controller Design for Vibration of a Smart CFRP Composite Beam by using LMI Method"Proceedings of 13th International Conference on Composite Materials. (CD-ROM). (2001)

T.Takawa：“使用 LMI 方法进行智能 CFRP 复合梁振动的模糊控制器设计”第 13 届国际复合材料会议论文集。

高輪武志: "スマート複合材はりのファジイ振動制御"第11回インテリジェント材料シンポジウム講演要旨集. (2002)

Takeshi Takanawa：“智能复合梁的模糊振动控制”第十一届智能材料研讨会摘要（2002）。

T.Takawa: "Controller Design for Vibration of a Smart CFRP Composite Beam based on the fuzzy Model"International Journal of Vehicle Design. Vol.33, No.1A(in press). (2003)

T.Takawa：“基于模糊模型的智能CFRP复合梁振动控制器设计”国际车辆设计杂志。

T.Takawa: "Controller Design for Vibration of a Smart CFRP Composite Beam based on the fuzzy Model"International Journal of Vehicle Design. Vol.33 No.1A (in press). (2003)

T.Takawa：“基于模糊模型的智能CFRP复合梁振动控制器设计”国际车辆设计杂志。