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Change of the Attainability Set after Transition to a Reduced System
Moscow University Mechanics Bulletin Pub Date : 2020-08-05 , DOI: 10.3103/s0027133020020041
D. I. Bugrov , A. M. Formal’skii

An example of a linear completely contrallable time-invariant system is considered to study the change of its attainability region after the transition to a reduced system with a decreased order. The original system is a triple integrator. After reduction, a new system (a double integrator) whose control belongs to the set of piecewise continuous bounded functions is considered. The attainability set of the reduced system and the projection of the attainability set of the original system onto the coordinate plane of the reduced system are compared.

中文翻译:

过渡到精简系统后,可达到性集的变化

考虑一个线性完全可控时间不变系统的例子,研究过渡到具有降序的简化系统后其可达到性区域的变化。原始系统是三重积分器。归约后,将考虑其控制属于分段连续有界函数集的新系统(双积分器)。比较简化系统的可达性集和原始系统的可达性集在简化系统的坐标平面上的投影。
更新日期:2020-08-05
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