Linear Quadratic Regulator: II. Robust Formulations

被引：0
|
作者：
M. V. Khlebnikov
P. S. Shcherbakov
机构：
[1] Russian Academy of Sciences,Trapeznikov Institute of Control Sciences
[2] Russian Academy of Sciences,Institute for Systems Analysis
来源：
Automation and Remote Control | 2019年 / 80卷
关键词：
linear quadratic regulator; uncertainty; robustness; linear matrix inequalities;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The classical linear quadratic regulation problem is considered in the robust formulations where the matrices of the system and/or initial conditions are not know precisely. Several approaches are proposed where the quadratic cost is minimized against the worst-case uncertainties. Finding such controllers is performed via reducing the matrix Riccati equation with uncertainty to a single linear matrix inequality. The properties of the solutions are discussed and the comparison with previously known approaches is performed.
引用
收藏
页码：1847 / 1860
页数：13
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