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智能结构的结构/控制综合设计中矩阵的混合优选法
引用本文:殷学纲, 王波, 向志海, 黄尚廉. 智能结构的结构/控制综合设计中矩阵的混合优选法[J]. 固体力学学报, 2002, 23(4): 453-458. doi: 10.3969/j.issn.0254-7805.2002.04.011
作者姓名:殷学纲  王波  向志海  黄尚廉
作者单位:重庆大学工程力学系,重庆,400044;重庆大学光电工程学院,重庆,400044; 重庆大学工程力学系,重庆,400044;重庆工商大学,重庆,400033; 重庆大学工程力学系,重庆,400044; 重庆大学光电工程学院,重庆,400044
基金项目:国家自然科学基金 (5 0 135 0 30 )资助
摘    要:以独立模态空间控制的权矩阵元素为设计变量,根据求解结构/控制综合设计的多目标优化问题的Preto优化解的约束方法,建立了以ARE的解矩阵的迹为目标函数,以满足闭环系统之渐进稳定条件为约束的多目标优化模型.然后根据此权矩阵的优化解构造出耦合模态空间控制的权矩阵.由此可以使控制系统用较少的执行器对结构的多个模态进行控制并使被控系统满足给定的稳定条件与性能限制而且使性能指标极小化.对两个机敏柔性梁的计算机模拟结果验证了这一方法的有效性.

关 键 词:智能结构   主动振动控制   综合设计   权矩阵
修稿时间:2000-10-28

A HYBRID METHOD FOR OPTIMAL SELECTION OF WEIGHTING MATRICES IN INTEGRATED DESIGN OF STRUCTURE/CONTROL
A HYBRID METHOD FOR OPTIMAL SELECTION OF WEIGHTING MATRICES IN INTEGRATED DESIGN OF STRUCTURE/CONTROL[J]. Chinese Journal of Solid Mechanics, 2002, 23(4): 453-458. doi: 10.3969/j.issn.0254-7805.2002.04.011
Authors:Yin Xuegang    Wang Bo    Xiang Zhihai Huang Shanglian
Affiliation:Yin Xuegang 1,2 Wang Bo 1,3 Xiang Zhihai 1 Huang Shanglian 2
Abstract:By taking the weighting matrix elements under independent modal space control as design variables and applying Pareto's method of optimization to integrated design of structure/control, the target-functions are established according to the traces of ARE matrix to satisfy the multi-optimization model restrained by close loop system's requirement for progressive steadiness. The weighting matrix of dependent modal space control can then be built. Therefore, the control of more than one modes in system can be realized by using one actuator with the system performance features being excellent satisfying the specified stability. Computational results of two beams prove the efficiency of this approach.
Keywords:intelligent structure   active control   integrated design   weighting matrix
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