奇异摄动线性二次镇定问题的极大极小控制

S. Myshkov, V. Karelin
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引用次数: 2

摘要

讨论了输出反馈镇定问题。众所周知,缺乏关于状态的信息,不允许设计一个对任意初始状态最小化二次泛函的控制。本文考虑了极大极小方法,从而解决了离散极大极小问题。报告和以前的作品之间的主要区别在于在动力学中存在规则和奇异扰动。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Minimax control in the singularly perturbed linear-quadratic stabilization problem
The output feedback stabilization problem is discussed. It is known that the lack of information about states does not permit to design a control which minimizes the quadratic functional for arbitrary initial states. In the paper, the minimax approach is considered and thereby the discrete minimax problem is solved. The main difference between the report and previous works is in the presence of regular and singular perturbations in the dynamics.
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