Robust Feedback Control for a Linear Chain of Oscillators

被引：0
|
作者：
Alexander Ovseevich
Igor Ananievski
机构：
[1] Ishlinsky Institute for Problems in Mechanics RAS,
[2] Ipmex RAS,undefined
来源：
Journal of Optimization Theory and Applications | 2021年 / 188卷
关键词：
Feedback control; Linear oscillator; Finite-time stabilization; Robustness; Orthogonal polynomials; 49N05; 49N30; 49K99; 93D15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the problem of bringing a linear chain of masses connected by springs to an equilibrium in finite time by means of a control force applied to the first mass. We describe explicitly the desired feedback control and establish its local equivalence to the minimum-time one. We prove the robustness of the control with respect to unknown disturbances and compute the time of transfer as well as its asymptotic estimate with respect to the length of the chain.
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页码：307 / 316
页数：9
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