摘要
采用区间方法,对二阶振动控制系统的响应进行了分析。将不确定控制问题用确定性问题来近似,并将不确定参数表示为区间变量。根据控制系统的确定性部分,应用独立模态控制的极点配置方法推导出反馈矩阵,并把这种反馈控制应用于实际的不确定性系统。用区间参数导出了区间刚度矩阵和质量矩阵,应用矩阵摄动和区间扩张理论,提出了估计二阶系统响应值上下界的计算方法,并给出了一个数值算例。
Using interval analysis, the method of dynamic response of the second-order uncertain systems was investigated. The uncertain control problem was approximated as deterministic one, and the uncertain parameters were described by interval variables. The independent modal space control （IMSC） was used to obtain the modal gains, which were applied into the uncertain system. The expressions of the interval stiffness and interval mass matrices were developed directly with the interval physical parameters. With matrix perturbation and interval extension theory, the algorithm for estimating the upper and lower bounds of responses was developed. The present method was applied to a vibration system to illustrate the application.
出处
《吉林大学学报（工学版）》
EI
CAS
CSCD
北大核心
2008年第1期94-98,共5页
Journal of Jilin University:Engineering and Technology Edition
基金
国家自然科学基金项目(10202006)
吉林大学'985工程'项目
关键词
固体力学
震动与波
二阶不确定系统
主动振动控制
区间方法
独立模态控制
响应上下界
solid mechanics
vibration and wave
second order uncertain systems
vibration active control
interval method
independent modal space control （IMSC）
upper and lower bounds of responses
