智能结构不确定参数系统振动控制及其摄动分析

 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。

Vibration Control and Its Perturbation Analysis of Intelligent Structures with Uncertainties

Uncertainties in structural modeling of structures are often considered to ensure that the control system has a good robustness with respect to response errors. The uncertain parameters plays 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 in this paper. 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 show the validity of the present method.