Abstract

We present an attracting cylinder method, which is a generalization of the invariant ellipsoid method to the cases of tracking and observation problems. Based on the method developed, we propose an algorithm for calculating the parameters of a controller ensuring the boundedness of the tracking or observation error in the presence of bounded exogenous disturbances. The efficiency of the approach proposed is demonstrated with examples.

中文翻译：

---

吸引圆柱法：一般线性跟踪问题的解决方案

摘要

我们提出了一种吸引圆柱法，它是不变椭球法对跟踪和观测问题的概括。基于开发的方法，我们提出了一种用于计算控制器参数的算法，该算法可确保在存在有界外源性干扰的情况下确保跟踪或观测误差的有界性。实例证明了所提出方法的有效性。