智能结构不确定参数系统振动控制及其摄动分析  

Vibration Control and Its Perturbation Analysis of Intelligent Structures with Uncertainties

作　　者：曹宗杰[1] 闻邦椿[2] 匡震帮[3] 

机构地区：[1]空军第二航空学院机械工程系,吉林长春130022 [2]东北大学机械工程与自动化学院,辽宁沈阳110004 [3]上海交通大学工程力学系,上海200240

出　　处：《航空学报》2004年第1期31-35,共5页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金资助项目(10132010);中国博士后科学基金(2003033290)资助项目

摘　　要：结构建模中通常考虑不确定性等因素以确保系统及其控制系统具有良好的鲁棒性,由于参数不确定性引起的系统参数的变化将导致系统性能退化,甚至影响系统内部稳定性,所以不确定性概念在工程结构的分析与设计中起到重要的作用。研究了具有不确定参数系统鲁棒性理论,提出了抑制系统振动的控制规律;基于矩阵摄动法讨论了不确定参数对智能结构系统的影响,并利用不确定性凸模型理论分析了智能结构具有不确定参数系统稳定性的问题,提出了分析含不确定参数系统鲁棒性的方法。算例说明该方法的有效性。Uncertainties in structural modeling of structures are often considered, in order to ensure that the control system has a good robustness with respect to response errors. The uncertain parameters play an important role in the analysis and design of the engineering structures. So the feedback control of the intelligent structures with the uncertainties is studied. The system with uncertainties is considered as the perturbation of the system with determined parameters, and vibration control law is designed on the basis of the deterministic system. The first order perturbations of eigenvalues of intelligent structures with uncertainties can be obtained if the feedback control law is applied to the original system and perturbed system. With the present method, the stability of intelligent structures with uncertainties is discussed and a new method for the perturbation analysis of systems with the uncertainties is presented. A numerical example of the application shows the validity of the present method.

关 键 词：智能结构 摄动 振动控制 不确定参数 鲁棒性 

分 类 号：V214.9[航空宇航科学与技术—航空宇航推进理论与工程] V214.33