求解线性离散系统回避问题的多面体方法

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI:10.1109/STAB49150.2020.9140471

E. K. Kostousova

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引用次数: 1

摘要

考虑具有两个控制/干扰的线性离散时间系统的冲突控制问题，其中第一个控制/干扰的目标是将系统的轨迹引导到给定的终端集，而第二个控制/干扰的目标则相反。这里出现了两个子问题，即接近问题和回避问题。本文基于平行四边形值管的计算，提出了一种求解规避问题的反馈控制快速构造方法。给出了一个说明性实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a Polyhedral Method for Solving an Evasion Problem for Linear Discrete-Time Systems

A conflict control problem for a linear discrete time system with two controls / disturbances is considered, where the aim of the first one is to steer the trajectory of the system into a given terminal set, whereas the aim of the second one is opposite. Two subproblems arise here, namely the approach problem and the evasion one. In the paper, a quick method for construction of feed-back controls for solving the evasion problem is proposed based on the calculation of parallelotope-valued tubes. An illustrative example is presented.

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2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)

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