Abstract—

The problem of constructing a guaranteeing control for a shock isolator that protects an object on a movable base from impacts to which the base is subjected is considered. The impact disturbance of the base is not known in advance and is modeled by the time history of the acceleration of the base. It is assumed that the impact acceleration is bounded, does not change in direction, and its duration and the integral over time are given. The control force is acting between the base and the object to be protected. This force is constrained in magnitude, and the absolute acceleration of the base can exceed the maximum absolute acceleration allowed for the body to be protected only on one time interval. The performance index to be minimized is the maximum displacement of the object relative to the base. A method is developed for determining within a specified class the worst disturbances that maximize the performance index. An effective control law that involves the optimization of the control starting instant is proposed on the basis of the combination of two control laws designed previously for the rectangular impact pulses and the disturbances with unbounded amplitude.

中文翻译：

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通过预测和延迟控制来优化保护移动基座上的物体免受有界干扰

摘要-

考虑构建用于保护可移动基座上的物体免受基座受到的冲击的隔振器的保证控制的问题。基地的撞击扰动是事先不知道的，它是由基地加速度的时间历程建模的。假设冲击加速度是有界的，方向不变，并且给出了它的持续时间和随时间的积分。控制力作用在底座和被保​​护物体之间。这个力是有大小限制的，底座的绝对加速度可以超过一个时间间隔内被保护物体所允许的最大绝对加速度。要最小化的性能指标是物体相对于底座的最大位移。开发了一种方法，用于在指定类别内确定使性能指数最大化的最坏干扰。结合先前为矩形冲击脉冲和无界幅值扰动设计的两种控制律，提出了一种涉及控制起始时刻优化的有效控制律。