Chaos control of an SMA-pendulum system using thermal actuation with extended time-delayed feedback approach

被引：12
|
作者：
Costa, Dimitri D. A. [1 ]
Savi, Marcelo A. [1 ]
机构：
[1] Univ Fed Rio de Janeiro, Ctr Nonlinear Mech, Dept Mech Engn, COPPE, POB 68-503, BR-21941972 Rio De Janeiro, RJ, Brazil
来源：
NONLINEAR DYNAMICS | 2018年 / 93卷 / 02期
关键词：
Nonlinear dynamics; Chaos; Shape memory alloys; Pendulum; Control; MEMORY ALLOY ACTUATOR; NONLINEAR DYNAMICS; PERIODIC-ORBITS;
D O I：
10.1007/s11071-018-4210-5
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Chaos control has been applied to a variety of systems exploiting system dynamics characteristics that present advantages of low energy consumption when compared with regular controllers. This work deals with the chaos control of a smart system composed of a pendulum coupled with shape memory alloy (SMA) elements. SMAs belong to smart material class being employed in several applications due to their adaptive behavior. The basic idea is to apply the extended time-delayed feedback control on an SMA-pendulum system by exploring the SMA temperature-dependent behavior. Actuation constraints are considered based on heat transfer equations. Controller parameters are estimated using Floquet theory employed to analyze controlled unstable periodic orbits (UPOs). Results show the capability of the thermal controller to perform UPO stabilization. Energy consumption and stabilization time are discussed establishing a comparison with an ideal controller, without heat transfer constraints.
引用
收藏
页码：571 / 583
页数：13
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