Combined control-structural optimization
Combined control-structural optimization
复制标题
组合控制-结构优化
DOI：
10.1007/bf00370544
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发表时间：
1991
影响因子：
4.1
通讯作者：
J. Gibson
中科院分区：
文献类型：
--
作者：
M. Milman;M. Salama;R. Scheid;R. Bruno;J. Gibson
结论结合控制结构优化的关键，以提高早期设计权衡的方法已被概述和数值例子说明。该方法采用了同伦策略，似乎是有效的生成家庭的设计，可用于这些早期的贸易studies.Analytical结果得到类的结构/控制目标与LQG和LQR成本。对于这些，我们已经证明，全局最优解可以计算同伦参数的小值。给出了同伦路径沿着局部最优解的条件。给出了三个采用LQR控制代价的数值例子，显示了最优设计变量沿着同伦路径的变化。第二个例子的结果表明，在LQG/LQR公式中引入第二个同伦参数，将控制指标的两个部分联系起来，可能有助于扩大Pareto最优解族，但它对修改最佳结构形状的影响可能类似于原始参数λ。
ConclusionsAn approach for combined control-structure optimization keyed to enhancing early design trade-offs has been outlined and illustrated by numerical examples. The approach employs a homotopic strategy and appears to be effective for generating families of designs that can be used in these early trade studies.Analytical results were obtained for classes of structure/control objectives with LQG and LQR costs. For these, we have demonstrated that global optima can be computed for small values of the homotopy parameter. Conditions for local optima along the homotopy path were also given. Details of three numerical examples employing the LQR control cost were given showing variations of the optimal design variables along the homotopy path. The results of the second example suggest that introducing a second homotopy parameter relating the two parts of the control index in the LQG/LQR formulation might serve to enlarge the family of Pareto optima, but its effect on modifying the optimal structural shapes may be analogous to the original parameter λ.