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Stability-Preserving Optimization in the Presence of Fast Disturbances

机译:存在快速干扰时的稳定性优化

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摘要

We present algebraic conditions on the trajectory of a dynamical system to approximately describe a certain type of system robustness. The corresponding equations can be used as constraints in a robust optimization procedure to select a set of optimal design parameters for a dynamical system which is subject to fast disturbances. Robustness is ensured by requiring the disturbance parameters to stay sufficiently far away from critical manifolds in the disturbance parameter space, at which the system would lose stability. The closest distance to the critical manifolds is measured along their normal vectors.
机译:我们在动力学系统的轨迹上给出代数条件,以大致描述某种类型的系统鲁棒性。相应的方程式可以用作鲁棒优化过程中的约束条件,从而为遭受快速扰动的动力学系统选择一组最佳设计参数。通过要求扰动参数与扰动参数空间中的关键歧管保持足够的距离来确保鲁棒性,否则系统将失去稳定性。沿临界法线矢量测量到关键歧管的最近距离。

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