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Robust stability with multilinear perturbations: how good is the convex hull approximation?

机译:具有多线性扰动的强大稳定性:凸船近似有多好?

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A computer-aided design technique is presented to study robust stability of a feedback system which includes bounded perturbations entering affine multilinearly into the coefficients of the plant. This computer-aided technique allows for the graphical construction of the convex hull approximation of the so-called value set. Generating the 'true' value set by gridding the perturbations rectangle, the goodness of the approximation is checked. This comparison was performed studying a number of real world examples subject to perturbations recently introduced in the literature on robustness, including RCL circuits, DC motors and the model of a supersonic transport plane. In all the real world examples examined, a tight convex hull approximation was always obtained.
机译:提出了一种计算机辅助设计技术,以研究一种反馈系统的鲁棒稳定性,所述反馈系统包括进入仿射酰基的界限扰动进入植物的系数。这种计算机辅助技术允许所谓的值集的凸船近似的图形结构。通过网格组网来生成​​“真正”值,检查近似的良好度。这种比较进行了研究,研究了最近在鲁棒性的文献中介绍的扰动的一些现实世界示例,包括RCL电路,DC电机和超音速运输平面的模型。在检查的所有现实世界示例中,总是获得紧密凸船近似。

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