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A note on spillover and robustness for flexible systems

机译:有关灵活系统的溢出和健壮性的说明

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摘要

Many stabilizer designs for infinite-dimensional systems, for example, flexible systems, are based on a finite-dimensional approximation of the original system. It is shown that whether or not this approach leads to a stabilizing controller for the infinite-dimensional system is, in fact, a robustness question: lack of robustness can lead to a spillover effect from the neglected dynamics, which destroys the stability. This phenomenon is illustrated by an example of a damped flexible system.
机译:用于无穷维系统(例如,柔性系统)的许多稳定器设计都基于原始系统的有限维近似。结果表明,这种方法是否导致了无穷维系统的稳定控制器,实际上是一个鲁棒性问题:鲁棒性的缺乏会导致被忽略的动力学产生溢出效应,从而破坏稳定性。阻尼柔性系统的一个例子说明了这种现象。

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