Control of Ensembles of Single-Input Continuous-Time Linear Systems
Control of Ensembles of Single-Input Continuous-Time Linear Systems
复制标题
单输入连续时间线性系统系综的控制
DOI：
10.3182/20130925-2-de-4044.00051
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
U. Helmke
中科院分区：
文献类型：
--
作者：
M. Schönlein;U. Helmke
摘要本文考虑了依赖于单个参数的连续时间线性定常单输入系统。给定一个期望状态的家庭，我们的目标是找到开环控制输入是独立的参数，同时引导零初始状态任意接近一个家庭的终端状态。作为一个应用，我们证明了一族谐振子网络可以由一个单一的输入函数鲁棒控制。因此，我们的目标是有效地计算开环输入功能，能够控制的线性系统的合奏。
Abstract In this paper we consider continuous-time linear time-invariant single-input systems that depend on a single parameter. Given a family of desired states we aim to find open-loop control inputs which are independent of the parameter that simultaneously steer the zero initial state arbitrarily close to a family of terminal states. As an application we show that a family of networks of harmonic oscillators can be robustly controlled by a single input function. Thus our goal is to effectively compute open-loop input functions that are cabable of controlling an ensemble of linear systems.