Abstract

The problem of protecting an object on a moving base from transient shock impacts (disturbances) using an active shock isolator is considered. The maximum displacement of the object relative to the base is selected as the minimized quality criterion. Based on the anticipating optimal control obtained for a disturbance in the form of an instantaneous impact, a guaranteeing control is constructed with optimization of the moment the control starting instant, which can be chosen with anticipation or with a delay. The proposed optimization is compared in terms of the performance index with the optimization with respect to the anticipation time only and with the case where both the anticipation time and the control starting instant are optimized.

中文翻译：

---

运动基座上物体隔震问题的预期和延迟控制优化

摘要

考虑了使用主动隔振器保护移动基座上的物体免受瞬态冲击的影响（干扰）的问题。选择对象相对于基座的最大位移作为最小质量标准。基于针对瞬时冲击形式的扰动获得的预期最优控制，通过优化控制开始瞬间的时刻来构造保证控制，该保证可以通过预期或延迟来选择。在性能指标方面，将所提出的优化与仅针对预期时间的优化以及针对预期时间和控制启动时刻都进行了优化的情况进行了比较。