Stabilizing unstable periodic orbits with delayed feedback control in act-and-wait fashion

被引：7
|
作者：
Cetinkaya, Ahmet [1 ]
Hayakawa, Tomohisa [2 ]
Taib, Mohd Amir Fikri Bin Mohd [2 ]
机构：
[1] Tokyo Inst Technol, Dept Comp Sci, Yokohama, Kanagawa 2268502, Japan
[2] Tokyo Inst Technol, Dept Syst & Control Engn, Tokyo 1528552, Japan
来源：
SYSTEMS & CONTROL LETTERS | 2018年 / 113卷
关键词：
Stabilization of periodic orbits; Periodic systems; Time-varying systems; Delayed feedback stabilization; SYSTEMS;
D O I：
10.1016/j.sysconle.2018.01.010
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A delayed feedback control framework for stabilizing unstable periodic orbits of linear periodic time varying systems is proposed. In this framework, act-and-wait approach is utilized for switching a delayed feedback controller on and off alternately at every integer multiples of the period of the system. By analyzing the monodromy matrix of the closed-loop system, we obtain conditions under which the closed-loop system's state converges towards a periodic solution under our proposed control law. We discuss the application of our results in stabilization of unstable periodic orbits of nonlinear systems and present numerical examples to illustrate the efficacy of our approach. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：71 / 77
页数：7
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