基于Bouc-Wen迟滞模型参数辨识的智能悬臂梁自适应控制  

Adaptive Control of a Smart CantileverBeamBased on Identifying the Parameters of the Bouc-Wen Hysteretic Mathematical Model

作　　者：王瑞萍 张婷 WANG Ruiping;ZHANG Ting(College of Mechanical and Automotive Engineering,Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学机械与汽车工程学院,上海201620

出　　处：《噪声与振动控制》2020年第2期39-43,共5页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(11702168)。

摘　　要：压电陶瓷是具有驱动特性与传感特性的智能材料。在飞行器设计方面,智能结构的应用越来越广泛。怎样有效控制智能结构的振动成为近年来的研究重点。智能结构本身具有迟滞特性,建立迟滞智能结构的数学模型,并准确辨识其参数成为智能结构控制的基础。首先建立基于Bouc-Wen方程的智能柔性悬臂梁数学模型,其次使用遗传算法对数学模型的未知参数进行辨识,并且在SIMULINK平台上使用基于Lyapunov稳定性的MARC自适应控制算法对悬臂梁的数学模型进行控制仿真验证。最后运用LABVIEW平台和实验仪器基于MARC自适应控制算法对悬臂梁进行振动控制实验验证。实验和仿真结果都证明MARC自适应控制能够有效控制智能悬臂梁的自由振动。Piezoelectric ceramics is an intelligent material with dual characteristics of driving and sensing.Recently,the intelligent structure has been widely used in aircraft design.Effective vibration control of the intelligent structures becomes a research hotspot.Because of the hysteretic characteristic of the intelligent structure,it is important to establish the hysteretic mathematical model and identify its unknown parameters.In this paper,the mathematical model of an intelligent flexible cantilever beam was established based on Bouc-Wen equation.Then,genetic algorithm was used to identify the unknown parameters of the mathematical model,and the MARC adaptive control algorithm which satisfies Lyapunov stability theory was used to control the mathematical model of the cantilever beam on the Simulink platform.Finally,the MARC adaptive control algorithm was applied to control the real cantilever beam base by means of LABVIEW platform and other experimental instruments.The results of experiment and simulation indicate that the MARC adaptive control can control the free vibration of the intelligent cantilever beam effectively。

关 键 词：振动与波 MARC自适应控制 遗传算法 LYAPUNOV稳定性理论 智能悬臂梁 Bouc-Wen方程 

分 类 号：O422.6[理学—声学]