On the control of unknown continuous time chaotic systems by applying Takens embedding theory

被引：7
|
作者：
Kaveh, H. [1 ]
Salarieh, H. [1 ]
Hajiloo, R. [1 ]
机构：
[1] Sharif Univ Technol, Dept Mech Engn, POB 11155-9567, Tehran, Iran
来源：
CHAOS SOLITONS & FRACTALS | 2018年 / 109卷
关键词：
Chaos control; Continuous time chaotic system; Time-series; Delayed phase space; Reconstructed model; DYNAMICAL-SYSTEMS; FEEDBACK-CONTROL; MODEL;
D O I：
10.1016/j.chaos.2018.02.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new approach to control continuous time chaotic systems with an unknown governing equation and limitation on the measurement of states, has been investigated. In many chaotic systems, disability to measure all of the states is a usual limitation, like in some economical, biological and many other engineering systems. Takens showed that a chaotic attractor has an astonishing feature in which it can embed to a mathematically similar attractor by using time series of one of the states. The new embedded attractor saves much information from the original attractor. This phenomenon has been deployed to present a new way to control continuous time chaotic systems, when only one of the states of the system is measurable and the system model is not also available. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：53 / 57
页数：5
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